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## Etingof, Pavel Il’ich

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 Author ID: etingof.pavel-i Published as: Ehtingof, P. I.; Etingof, P.; Etingof, P. I.; Etingof, Pavel; Etingof, Pavel I. Homepage: http://www-math.mit.edu/~etingof/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 225 Publications since 1987, including 14 Books
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#### Co-Authors

 36 single-authored 29 Gelaki, Shlomo 12 Ostrik, Victor Valentinovich 10 Ginzburg, Victor 10 Nikshych, Dmitri 10 Schedler, Travis 10 Schiffmann, Olivier G. 9 Rains, Eric M. 9 Varchenko, Alexander Nikolaevich 8 Enriquez, Benjamin 8 Entov, Vladimir M. 8 Kazhdan, David A. 8 Kirillov, Alexander A. jun. 8 Walton, Chelsea 6 Oblomkov, Alexei A. 5 Ma, Xiaoguang 4 Berest, Yuri Yu. 4 Cuadra, Juan 4 Retakh, Vladimir Solomonovich 3 Chalykh, Oleg A. 3 Frenkel, Igor B. 3 Gan, Wee Liang 3 Khovanov, Mikhail G. 3 Soloviev, Alexandre 2 Abughazalah, Nabilah 2 Andruskiewitsch, Nicolás 2 Braverman, Alexander 2 Calaque, Damien 2 Eu, Ching-Hwa 2 Gel’fand, Israil’ Moiseevich 2 Graña, Mariana 2 Guralnick, Robert Michael 2 Kleinbock, Dmitry Ya. 2 Latour, Frédéric 2 Loktev, Sergey A. 2 Marshall, Ian 2 Moura, Adriano A. 2 Rybnikov, Leonid Grigor’evich 2 Savage, Alistair 2 Styrkas, Konstantin 1 Adler, Vsevolod Eduardovich 1 Aizenbud, Inna Entova 1 Aljadeff, Eli 1 Bartholdi, Laurent 1 Benson, David John 1 Bezrukavnikov, Roman 1 Bhupatiraju, Surya 1 Brookner, Aaron 1 Brundan, Jonathan 1 Bukhshtaber, Viktor Matveevich 1 Chmutova, Tatyana 1 Corwin, David 1 Crawley-Boevey, William 1 Davydov, Alekseĭ Aleksandrovich 1 Deligne, Pierre René 1 Ding, Jintai 1 Dobrovolska, Galyna 1 Dolgushev, Vasily A. 1 Dubrovin, Boris Anatol’evich 1 Duncan, John F. R. 1 Feigin, Misha V. 1 Felder, Giovanni 1 Felder, J. 1 Ferapontov, Evgeny Vladimirovich 1 Freed, Daniel Stuart 1 Freund, Rebecca 1 Gaitsgory, Dennis 1 Galindo Martínez, César Neyit 1 Geer, Nathan 1 Gerovitch, Slava 1 Golberg, Oleg 1 Gong, Sherry 1 Gorsky, Eugene 1 Goswami, Debashish 1 Grinevich, Pëtr Georgievich 1 Gusein-Zade, Sabir M. 1 Harman, Nate 1 Henriques, André G. 1 Hensel, Sebastian Wolfgang 1 Ilyashenko, Yulij Sergeevich 1 Ip, Ivan Chi-Ho 1 Jeffrey, Lisa C. 1 Jordan, David Andrew 1 Kamnitzer, Joel 1 Khesin, Boris A. 1 Khovanova, Tanya 1 Kim, John J. 1 Klejnbok, D. Ya. 1 Krichever, Igor’ Moiseevich 1 Kuszmaul, William 1 Lando, Sergei K. 1 Li, Jason Jingshi 1 Libine, Matvei 1 Licata, Anthony M. 1 Liu, Tiankai 1 Losev, Ivan V. 1 Malcolmson, Peter 1 Mandal, Arnab 1 Montarani, Silvia 1 Morgan, John W. 1 Morrison, David R. ...and 28 more Co-Authors
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#### Serials

 22 IMRN. International Mathematics Research Notices 22 Mathematical Research Letters 18 Journal of Algebra 15 Advances in Mathematics 9 Communications in Mathematical Physics 9 Duke Mathematical Journal 8 Moscow Mathematical Journal 7 Transformation Groups 6 Selecta Mathematica. New Series 5 European Journal of Applied Mathematics 5 Representation Theory 4 Journal für die Reine und Angewandte Mathematik 4 Geometric and Functional Analysis. GAFA 3 Communications in Algebra 3 Letters in Mathematical Physics 3 Compositio Mathematica 3 The Asian Journal of Mathematics 3 Algebras and Representation Theory 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Fluid Dynamics 2 Journal of Mathematical Physics 2 Journal of Pure and Applied Algebra 2 Michigan Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Notices of the American Mathematical Society 2 Electronic Research Announcements of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 Contemporary Mathematics 2 Mathematical Surveys and Monographs 2 Algebra & Number Theory 2 Quantum Topology 1 Computers & Mathematics with Applications 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Russian Mathematical Surveys 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Pacific Journal of Mathematics 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Soviet Physics. Doklady 1 Experimental Mathematics 1 Applied Categorical Structures 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Pure and Applied Mathematics Quarterly 1 Oxford Lecture Series in Mathematics and its Applications 1 Progress in Mathematics 1 University Lecture Series 1 Student Mathematical Library 1 Journal of Noncommutative Geometry 1 Arnold Mathematical Journal 1 Zurich Lectures in Advanced Mathematics
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#### Fields

 105 Nonassociative rings and algebras (17-XX) 99 Associative rings and algebras (16-XX) 47 Quantum theory (81-XX) 46 Group theory and generalizations (20-XX) 40 Category theory; homological algebra (18-XX) 28 Algebraic geometry (14-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Special functions (33-XX) 13 Differential geometry (53-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Fluid mechanics (76-XX) 10 Commutative algebra (13-XX) 9 Combinatorics (05-XX) 9 Partial differential equations (35-XX) 9 Difference and functional equations (39-XX) 6 General and overarching topics; collections (00-XX) 5 Topological groups, Lie groups (22-XX) 5 Functions of a complex variable (30-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 $$K$$-theory (19-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

198 Publications have been cited 3,805 times in 2,320 Documents Cited by Year
On fusion categories. Zbl 1125.16025
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
2005
Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism. Zbl 1061.16032
Etingof, Pavel; Ginzburg, Victor
2002
Tensor categories. Zbl 1365.18001
Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor
2015
Set-theoretical solutions to the quantum Yang-Baxter equation. Zbl 0969.81030
Etingof, Pavel; Schedler, Travis; Soloviev, Alexandre
1999
Quantization of Lie bialgebras. I. Zbl 0863.17008
Etingof, Pavel; Kazhdan, David
1996
Fusion categories and homotopy theory. Zbl 1214.18007
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
2010
Finite tensor categories. Zbl 1077.18005
Etingof, Pavel; Ostrik, Viktor
2004
Weakly group-theoretical and solvable fusion categories. Zbl 1210.18009
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Victor
2011
Lectures on representation theory and Knizhnik-Zamolodchikov equations. Zbl 0903.17006
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
1998
Noncommutative geometry and quiver algebras. Zbl 1111.53066
Crawley-Boevey, William; Etingof, Pavel; Ginzburg, Victor
2007
Quantization of Lie bialgebras. V: Quantum vertex operator algebras. Zbl 0948.17008
Etingof, Pavel; Kazhdan, David
2000
Finite-dimensional representations of rational Cherednik algebras. Zbl 1063.20003
Berest, Yuri; Etingof, Pavel; Ginzburg, Victor
2003
Some properties of finite-dimensional semisimple Hopf algebras. Zbl 0907.16016
Etingof, Pavel; Gelaki, Shlomo
1998
Calogero-Moser systems and representation theory. Zbl 1331.53002
Etingof, Pavel
2007
Instanton counting via affine Lie algebras. II: From Whittaker vectors to the Seiberg-Witten prepotential. Zbl 1177.14036
Braverman, A.; Etingof, P.
2006
Parabolic induction and restriction functors for rational Cherednik algebras. Zbl 1226.20002
Bezrukavnikov, Roman; Etingof, Pavel
2009
Cherednik algebras and differential operators on quasi-invariants. Zbl 1067.16047
Berest, Yuri; Etingof, Pavel; Ginzburg, Victor
2003
On finite-dimensional semisimple and cosemisimple Hopf algebras in positive characteristic. Zbl 0918.16027
Etingof, Pavel; Gelaki, Shlomo
1998
On rack cohomology. Zbl 1054.16028
Etingof, P.; Graña, M.
2003
Quantization of Lie bialgebras. II, III. Zbl 0915.17009
Etingof, Pavel; Kazhdan, David
1998
Universal KZB equations: the elliptic case. Zbl 1241.32011
Calaque, Damien; Enriquez, Benjamin; Etingof, Pavel
2009
Noncommutative del Pezzo surfaces and Calabi-Yau algebras. Zbl 1204.14004
Etingof, Pavel; Ginzburg, Victor
2010
The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points. Zbl 1206.14051
Etingof, Pavel; Henriques, André; Kamnitzer, Joel; Rains, Eric M.
2010
Quantum fields and strings: a course for mathematicians. Vols. 1, 2. Material from the Special Year on Quantum Field Theory held at the Institute for Advanced Study, Princeton, NJ, 1996–1997. Zbl 0984.00503
Deligne, Pierre (ed.); Etingof, Pavel (ed.); Freed, Daniel S. (ed.); Jeffrey, Lisa C. (ed.); Kazhdan, David (ed.); Morgan, John W. (ed.); Morrison, David R. (ed.); Witten, Edward (ed.)
1999
Geometry and classification of solutions of the classical dynamical Yang-Baxter equation. Zbl 0915.17018
Etingof, Pavel; Varchenko, Alexander
1998
Whittaker functions on quantum groups and $$q$$-deformed Toda operators. Zbl 1157.33327
Etingof, Pavel
1999
Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups. Zbl 0957.17019
Etingof, Pavel; Varchenko, Alexander
1998
Lectures on quantum groups. Zbl 1105.17300
Etingof, Pavel; Schiffmann, Olivier
1998
Factorization of differential operators, quasideterminants, and nonabelian Toda field equations. Zbl 0959.37054
Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir
1997
Why the boundary of a round drop becomes a curve of order four. Zbl 0768.76073
Varchenko, A. N.; Etingof, P. I.
1992
Lectures on quantum groups. 2nd ed. Zbl 1106.17015
Etingof, Pavel; Schiffmann, Olivier
2002
Macdonald’s polynomials and representations of quantum groups. Zbl 0833.17007
Etingof, Pavel I.; Kirillov, Alexander A. jun.
1994
Semisimple Hopf actions on commutative domains. Zbl 1297.16029
Etingof, Pavel; Walton, Chelsea
2014
An analogue of Radford’s $$S^4$$ formula for finite tensor categories. Zbl 1079.16024
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
2004
Lectures on the dynamical Yang-Baxter equations. Zbl 1036.17013
Etingof, Pavel; Schiffmann, Olivier
2001
Dynamical quantum groups at roots of 1. Zbl 1023.17007
Etingof, Pavel; Nikshych, Dmitri
2001
Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements. Zbl 1018.17007
Etingof, Pavel; Soloviev, Alexander; Guralnick, Robert
2001
The classification of triangular semisimple and cosemisimple Hopf algebras over an algebraically closed field. Zbl 0957.16029
Etingof, Pavel; Gelaki, Shlomo
2000
Spherical functions on affine Lie groups. Zbl 0848.43010
Etingof, Pavel I.; Frenkel, Igor B.; Kirillov, Alexander A. jun.
1995
Triangular Hopf algebras with the Chevalley property. Zbl 1016.16029
Andruskiewitsch, Nicolás; Etingof, Pavel; Gelaki, Shlomo
2001
Dynamical Weyl groups and applications. Zbl 1033.17010
Etingof, P.; Varchenko, A.
2002
Exchange dynamical quantum groups. Zbl 0943.17010
Etingof, P.; Varchenko, A.
1999
Bubble contraction in Hele-Shaw cells. Zbl 0743.76020
Entov, V. M.; Etingof, P. I.
1991
Semisimple Hopf algebras of dimension $$pq$$ are trivial. Zbl 0919.16028
Etingof, Pavel; Gelaki, Shlomo
1998
On the exponent of finite-dimensional Hopf algebras. Zbl 0954.16028
Etingof, Pavel; Gelaki, Shlomo
1999
Braid group representations from twisted quantum doubles of finite groups. Zbl 1207.16038
Etingof, Pavel; Rowell, Eric; Witherspoon, Sarah
2008
Representations of affine Lie algebras, parabolic differential equations, and Lamé functions. Zbl 0811.17026
Etingof, Pavel I.; Kirillov, Alexander A. jun.
1994
Representations of rational Cherednik algebras with minimal support and torus knots. Zbl 1321.16020
Etingof, Pavel; Gorsky, Eugene; Losev, Ivan
2015
Finite dimensional quasi-Hopf algebras with radical of codimension 2. Zbl 1080.16041
Etingof, Pavel; Gelaki, Shlomo
2004
Isocategorical groups. Zbl 0988.20003
Etingof, Pavel; Gelaki, Shlomo
2001
Explicit quantization of dynamical $$r$$-matrices for finite dimensional semisimple Lie algebras. Zbl 0957.17011
Etingof, Pavel; Schedler, Travis; Schiffmann, Olivier
2000
Nonabelian integrable systems, quasideterminants, and Marchenko lemma. Zbl 0948.37055
Etingof, Pavel; Gelfand, Israel; Retakh, Vladimir
1998
Unitary representations of rational Cherednik algebras. (With an appendix by Stephen Griffeth). Zbl 1237.20005
Etingof, Pavel; Stoica, Emanuel
2009
Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004
Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric
2006
On families of triangular Hopf algebras. Zbl 0998.16028
Etingof, Pavel; Gelaki, Shlomo
2002
Central extensions of current groups in two dimensions. Zbl 0822.22014
Etingof, Pavel I.; Frenkel, Igor B.
1994
Classification of fusion categories of dimension $$pq$$. Zbl 1063.18005
Etingof, Pavel; Gelaki, Shlomo; Ostrik, Viktor
2004
Geometric crystals and set-theoretical solutions to the quantum Yang-Baxter equation. Zbl 1020.17008
Etingof, Pavel
2003
On twisting of finite-dimensional Hopf algebras. Zbl 1053.16026
Aljadeff, Eli; Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri
2002
A method of construction of finite-dimensional triangular semisimple Hopf algebras. Zbl 0935.16029
Etingof, Pavel; Gelaki, Shlomo
1998
Quantum integrable systems and differential Galois theory. Zbl 0901.58021
Braverman, A.; Etingof, P.; Gaitsgory, D.
1997
A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups. Zbl 1230.33011
Etingof, Pavel
2010
Poisson traces and $$D$$-modules on Poisson varieties. With an appendix by Ivan Losev. Zbl 1223.17023
Etingof, Pavel; Schedler, Travis
2010
Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces. Zbl 1118.14003
Etingof, Pavel; Oblomkov, Alexei; Rains, Eric
2007
Quantization of classical dynamical $$r$$-matrices with nonabelian base. Zbl 1063.17013
Enriquez, Benjamin; Etingof, Pavel
2005
Algebraic integrability of Macdonald operators and representations of quantum groups. Zbl 0918.17011
Etingof, Pavel; Styrkas, Konstantin
1998
Module categories over representations of $$\text{SL}_q(2)$$ and graphs. Zbl 1053.17010
Etingof, Pavel; Ostrik, Viktor
2004
Traces of intertwiners for quantum groups and difference equations. I. Zbl 1004.17006
Etingof, Pavel; Varchenko, Alexander
2000
Continuous Hecke algebras. Zbl 1115.20005
Etingof, Pavel; Gan, Wee Liang; Ginzburg, Victor
2005
On universal Lie nilpotent associative algebras. Zbl 1236.16021
Etingof, Pavel; Kim, John; Ma, Xiaoguang
2009
Noncommutative complete intersections and matrix integrals. Zbl 1151.14006
Etingof, Pavel; Ginzburg, Victor
2007
On some representations of the rational Cherednik algebra. Zbl 1070.20005
Chmutova, Tatyana; Etingof, Pavel
2003
The classification of finite-dimensional triangular Hopf algebras over an algebraically closed field of characteristic 0. Zbl 1062.16043
Etingof, Pavel; Gelaki, Shlomo
2003
On $$m$$-quasi-invariants of a Coxeter group. Zbl 1028.81027
Etingof, Pavel; Ginzburg, Victor
2002
Introduction to representation theory. With historical interludes by Slava Gerovitch. Zbl 1242.20001
Etingof, Pavel; Golberg, Oleg; Hensel, Sebastian; Liu, Tiankai; Schwendner, Alex; Vaintrob, Dmitry; Yudovina, Elena
2011
Lectures on tensor categories. Zbl 1160.18004
Calaque, Damien; Etingof, Pavel
2008
Morita equivalence of Cherednik algebras. Zbl 1067.16046
Berest, Yuri; Etingof, Pavel; Ginzburg, Victor
2004
Quantization of Alekseev-Meinrenken dynamical $$r$$-matrices. Zbl 1039.17013
Enriquez, Benjamin; Etingof, Pavel
2003
Quantization, orbifold cohomology, and Cherednik algebras. Zbl 1137.16014
Etingof, Pavel; Oblomkov, Alexei
2006
Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups. Zbl 1171.16007
Etingof, Pavel; Rains, Eric
2006
Etingof, Pavel; Gelaki, Shlomo
2005
On Hopf algebras of dimension $$pq$$. Zbl 1068.16054
Etingof, Pavel; Gelaki, Shlomo
2004
Quantization of geometric classical $$r$$-matrices. Zbl 0999.17025
Etingof, Pavel; Soloviev, Alexandre
1999
Representation theory in complex rank. I. Zbl 1336.20011
Etingof, Pavel
2014
Quantization of Lie bialgebras. VI: Quantization of generalized Kac-Moody algebras. Zbl 1191.17004
Etingof, Pavel; Kazhdan, David
2008
Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products. Zbl 1188.16010
Etingof, Pavel; Gan, Wee Liang; Ginzburg, Victor; Oblomkov, Alexei
2007
Finite dimensional representations of symplectic reflection algebras associated to wreath products. Zbl 1153.16011
Etingof, Pavel; Montarani, Silvia
2005
Hochschild cohomology of quantized symplectic orbifolds and the Chen-Ruan cohomology. Zbl 1088.53061
Dolgushev, Vasiliy; Etingof, Pavel
2005
On the invertibility of quantization functors. Zbl 1152.17005
Enriquez, Benjamin; Etingof, Pavel
2005
When is the Fourier transform of an elementary function elementary? Zbl 1037.11080
Etingof, Pavel; Kazhdan, David; Polishchuk, Alexander
2002
Representation-theoretic proof of the inner product and symmetry identities for Macdonald’s polynomials. Zbl 0859.17005
Etingof, Pavel I.; Kirillov, Alexander A. jun.
1996
Representation theory in complex rank. II. Zbl 1403.20055
Etingof, Pavel
2016
Pointed Hopf actions on fields. I. Zbl 1338.16035
Etingof, Pavel; Walton, Chelsea
2015
Hochschild and cyclic homology of preprojective algebras of ADE quivers. Zbl 1138.16004
Etingof, Pavel; Eu, Ching-Hwa
2007
Koszulity and the Hilbert series of preprojective algebras. Zbl 1138.16006
Etingof, Pavel; Eu, Ching-Hwa
2007
Comparison of Poisson structures and Poisson-Lie dynamical $$r$$-matrices. Zbl 1092.53057
Enriquez, Benjamin; Etingof, Pavel; Marshall, Ian
2005
New deformations of group algebras of Coxeter groups. Zbl 1099.20019
Etingof, Pavel; Rains, Eric
2005
On Vafa’s theorem for tensor categories. Zbl 1035.18004
Etingof, Pavel
2002
Traces of intertwiners for quantum groups and difference equations. Zbl 1018.17013
Etingof, P.; Schiffmann, O.; Varchenko, A.
2002
On the moduli space of classical dynamical $$r$$-matrices. Zbl 0994.17006
Etingof, Pavel; Schiffmann, Olivier
2001
Short star-products for filtered quantizations, I. Zbl 07181791
Etingof, Pavel; Stryker, Douglas
2020
Invariant Hopf 2-cocycles for affine algebraic groups. Zbl 07168159
Etingof, Pavel; Gelaki, Shlomo
2020
Symmetric tensor categories in characteristic 2. Zbl 1430.18013
Benson, Dave; Etingof, Pavel
2019
Autoequivalences of tensor categories attached to quantum groups at roots of 1. Zbl 1451.18034
Davydov, Alexei; Etingof, Pavel; Nikshych, Dmitri
2018
$$p$$-adic dimensions in symmetric tensor categories in characteristic $$p$$. Zbl 1390.18016
Etingof, Pavel; Harman, Nate; Ostrik, Victor
2018
Koszul duality and the PBW theorem in symmetric tensor categories in positive characteristic. Zbl 1440.18030
Etingof, Pavel
2018
Reflection fusion categories. Zbl 1442.18039
Etingof, Pavel; Galindo, César
2018
A Tannakian interpretation of the elliptic infinitesimal braid Lie algebras. Zbl 1423.14063
Enriquez, Benjamin; Etingof, Pavel
2018
On faithfulness of the lifting for Hopf algebras and fusion categories. Zbl 1440.16034
Etingof, Pavel
2018
Cherednik and Hecke algebras of varieties with a finite group action. Zbl 07069275
Etingof, Pavel
2017
Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin-G. Pfeiffer). Zbl 1386.20003
Etingof, Pavel
2017
Exact sequences of tensor categories with respect to a module category. Zbl 1367.18002
Etingof, Pavel; Gelaki, Shlomo
2017
Computations in symmetric fusion categories in characteristic $$p$$. Zbl 1405.18011
Etingof, Pavel; Ostrik, Victor; Venkatesh, Siddharth
2017
Hopf coactions on commutative algebras generated by a quadratically independent comodule. Zbl 1395.16037
Etingof, Pavel; Goswami, Debashish; Mandal, Arnab; Walton, Chelsea
2017
Finite dimensional Hopf actions on deformation quantizations. Zbl 1388.16033
Etingof, Pavel; Walton, Chelsea
2017
Semisimple and $$G$$-equivariant simple algebras over operads. Zbl 1386.18035
Etingof, Pavel
2017
Representation theory in complex rank. II. Zbl 1403.20055
Etingof, Pavel
2016
Co-invariants of Lie algebras of vector fields on algebraic varieties. Zbl 1397.17027
Etingof, Pavel; Schedler, Travis
2016
Finite dimensional Hopf actions on algebraic quantizations. Zbl 1355.16030
Etingof, Pavel; Walton, Chelsea
2016
Pointed Hopf actions on fields. II. Zbl 1356.16026
Etingof, Pavel; Walton, Chelsea
2016
On properties of the lower central series of associative algebras. Zbl 1378.16031
Abughazalah, Nabilah; Etingof, Pavel
2016
On Cohen-Macaulayness of $$S_n$$-invariant subspace arrangements. Zbl 1404.14063
Brookner, Aaron; Corwin, David; Etingof, Pavel; Sam, Steven V.
2016
On Cohen-Macaulayness of algebras generated by generalized power sums. With an appendix by Misha Feigin. Zbl 1357.13016
Etingof, Pavel; Rains, Eric
2016
Finite dimensional Hopf actions on Weyl algebras. Zbl 1356.16025
Cuadra, Juan; Etingof, Pavel; Walton, Chelsea
2016
Tensor categories. Zbl 1365.18001
Etingof, Pavel; Gelaki, Shlomo; Nikshych, Dmitri; Ostrik, Victor
2015
Representations of rational Cherednik algebras with minimal support and torus knots. Zbl 1321.16020
Etingof, Pavel; Gorsky, Eugene; Losev, Ivan
2015
Pointed Hopf actions on fields. I. Zbl 1338.16035
Etingof, Pavel; Walton, Chelsea
2015
Semisimple Hopf actions on Weyl algebras. Zbl 1369.16026
Cuadra, Juan; Etingof, Pavel; Walton, Chelsea
2015
Galois bimodules and integrality of PI comodule algebras over invariants. Zbl 1329.16028
Etingof, Pavel
2015
On two finiteness conditions for Hopf algebras with nonzero integral. Zbl 1333.16031
Andruskiewitsch, Nicolás; Cuadra, Juan; Etingof, Pavel
2015
Semisimple Hopf actions on commutative domains. Zbl 1297.16029
Etingof, Pavel; Walton, Chelsea
2014
Representation theory in complex rank. I. Zbl 1336.20011
Etingof, Pavel
2014
Poisson traces for symmetric powers of symplectic varieties. Zbl 1331.17019
Etingof, Pavel; Schedler, Travis
2014
Exploring noncommutative algebras via deformation theory. Zbl 1328.16013
Etingof, Pavel
2014
Invariants of Hamiltonian flow on locally complete intersections. Zbl 1320.14034
Etingof, Pavel; Schedler, Travis
2014
Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions. Zbl 1282.33028
Chalykh, Oleg; Etingof, Pavel
2013
On some properties of quantum doubles of finite groups. Zbl 1318.16035
Etingof, Pavel
2013
Lower central series of a free associative algebra over the integers and finite fields. Zbl 1320.16012
Bhupatiraju, Surya; Etingof, Pavel; Jordan, David; Kuszmaul, William; Li, Jason
2012
Supports of irreducible spherical representations of rational Cherednik algebras of finite Coxeter groups. (With an appendix by Stephen Griffeth). Zbl 1238.20008
Etingof, Pavel
2012
Symplectic reflection algebras and affine Lie algebras. Zbl 1293.17030
Etingof, Pavel
2012
Computational approaches to Poisson traces associated to finite subgroups of $$\text{Sp}_{2n}(\mathbb C)$$. Zbl 1246.53111
Etingof, Pavel; Gong, Sherry; Pacchiano, Aldo; Ren, Qingchun; Schedler, Travis
2012
Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities. Zbl 1244.53092
Etingof, Pavel; Schedler, Travis
2012
Descent and forms of tensor categories. Zbl 1246.18003
Etingof, Pavel; Gelaki, Shlomo
2012
Weakly group-theoretical and solvable fusion categories. Zbl 1210.18009
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Victor
2011
Introduction to representation theory. With historical interludes by Slava Gerovitch. Zbl 1242.20001
Etingof, Pavel; Golberg, Oleg; Hensel, Sebastian; Liu, Tiankai; Schwendner, Alex; Vaintrob, Dmitry; Yudovina, Elena
2011
On elliptic Calogero-Moser systems for complex crystallographic reflection groups. Zbl 1243.14036
Etingof, Pavel; Felder, Giovanni; Ma, Xiaoguang; Veselov, Alexander
2011
On the breakup of air bubbles in a Hele-Shaw cell. Zbl 1429.76046
2011
On algebraically integrable differential operators on an elliptic curve. Zbl 1247.37045
Etingof, Pavel; Rains, Eric
2011
Fusion categories and homotopy theory. Zbl 1214.18007
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
2010
Noncommutative del Pezzo surfaces and Calabi-Yau algebras. Zbl 1204.14004
Etingof, Pavel; Ginzburg, Victor
2010
The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points. Zbl 1206.14051
Etingof, Pavel; Henriques, André; Kamnitzer, Joel; Rains, Eric M.
2010
A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups. Zbl 1230.33011
Etingof, Pavel
2010
Poisson traces and $$D$$-modules on Poisson varieties. With an appendix by Ivan Losev. Zbl 1223.17023
Etingof, Pavel; Schedler, Travis
2010
Traces on finite $$\mathcal{W}$$-algebras. Zbl 1253.17007
Etingof, Pavel; Schedler, Travis
2010
Root extensions and factorization in affine domains. Zbl 1198.13018
Etingof, P.; Malcolmson, P.; Okoh, F.
2010
Parabolic induction and restriction functors for rational Cherednik algebras. Zbl 1226.20002
Bezrukavnikov, Roman; Etingof, Pavel
2009
Universal KZB equations: the elliptic case. Zbl 1241.32011
Calaque, Damien; Enriquez, Benjamin; Etingof, Pavel
2009
Unitary representations of rational Cherednik algebras. (With an appendix by Stephen Griffeth). Zbl 1237.20005
Etingof, Pavel; Stoica, Emanuel
2009
On universal Lie nilpotent associative algebras. Zbl 1236.16021
Etingof, Pavel; Kim, John; Ma, Xiaoguang
2009
A Lie-theoretic construction of some representations of the degenerate affine and double affine Hecke algebras of type $$BC_n$$. Zbl 1171.20004
Etingof, Pavel; Freund, Rebecca; Ma, Xiaoguang
2009
The small quantum group as a quantum double. Zbl 1267.17010
Etingof, Pavel; Gelaki, Shlomo
2009
Braid group representations from twisted quantum doubles of finite groups. Zbl 1207.16038
Etingof, Pavel; Rowell, Eric; Witherspoon, Sarah
2008
Lectures on tensor categories. Zbl 1160.18004
Calaque, Damien; Etingof, Pavel
2008
Quantization of Lie bialgebras. VI: Quantization of generalized Kac-Moody algebras. Zbl 1191.17004
Etingof, Pavel; Kazhdan, David
2008
Quasisymmetric and unipotent tensor categories. Zbl 1168.18003
Etingof, Pavel; Gelaki, Shlomo
2008
An upper bound for the lower central series quotients of a free associative algebra. Zbl 1146.16011
Dobrovolska, Galyna; Etingof, Pavel
2008
An algebraic extension of the MacMahon master theorem. Zbl 1191.05018
Etingof, Pavel; Pak, Igor
2008
New deformations of group algebras of Coxeter groups. II. Zbl 1148.20027
Etingof, Pavel; Rains, Eric
2008
On elliptic Dunkl operators. Zbl 1184.43011
Etingof, Pavel; Ma, Xiaoguang
2008
A Lie-theoretic construction of spherical symplectic reflection algebras. Zbl 1186.17006
Etingof, P.; Loktev, S.; Oblomkov, A.; Rybnikov, L.
2008
Noncommutative geometry and quiver algebras. Zbl 1111.53066
Crawley-Boevey, William; Etingof, Pavel; Ginzburg, Victor
2007
Calogero-Moser systems and representation theory. Zbl 1331.53002
Etingof, Pavel
2007
Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces. Zbl 1118.14003
Etingof, Pavel; Oblomkov, Alexei; Rains, Eric
2007
Noncommutative complete intersections and matrix integrals. Zbl 1151.14006
Etingof, Pavel; Ginzburg, Victor
2007
Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products. Zbl 1188.16010
Etingof, Pavel; Gan, Wee Liang; Ginzburg, Victor; Oblomkov, Alexei
2007
Hochschild and cyclic homology of preprojective algebras of ADE quivers. Zbl 1138.16004
Etingof, Pavel; Eu, Ching-Hwa
2007
Koszulity and the Hilbert series of preprojective algebras. Zbl 1138.16006
Etingof, Pavel; Eu, Ching-Hwa
2007
Quantization of some Poisson-Lie dynamical $$r$$-matrices and Poisson homogeneous spaces. Zbl 1197.17008
Enriques, Benjamin; Etingof, Pavel; Marshall, Ian
2007
On a generalized two-fluid Hele-Shaw flow. Zbl 1132.76019
Entov, V. M.; Etingof, P.
2007
Density of eigenvalues of random normal matrices with an arbitrary potential, and of generalized normal matrices. Zbl 1139.15014
Etingof, Pavel; Ma, Xiaoguang
2007
Monodromy of trigonometric KZ equations. Zbl 1161.32005
Etingof, Pavel; Geer, Nathan
2007
On central extensions of preprojective algebras. Zbl 1181.16013
Etingof, Pavel; Latour, Frédéric; Rains, Eric
2007
Instanton counting via affine Lie algebras. II: From Whittaker vectors to the Seiberg-Witten prepotential. Zbl 1177.14036
Braverman, A.; Etingof, P.
2006
Groups and Lie algebras corresponding to the Yang-Baxter equations. Zbl 1169.17004
Bartholdi, Laurent; Enriquez, Benjamin; Etingof, Pavel; Rains, Eric
2006
Quantization, orbifold cohomology, and Cherednik algebras. Zbl 1137.16014
Etingof, Pavel; Oblomkov, Alexei
2006
Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups. Zbl 1171.16007
Etingof, Pavel; Rains, Eric
2006
Liftings of graded quasi-Hopf algebras with radical of prime codimension. Zbl 1091.16022
Etingof, Pavel; Gelaki, Shlomo
2006
Generalized double affine Hecke algebras of higher rank. Zbl 1130.20006
Etingof, Pavel; Gan, Wee Liang; Oblomkov, Alexei
2006
Casimirs of the Goldman Lie algebra of a closed surface. Zbl 1151.17310
Etingof, Pavel
2006
On fusion categories. Zbl 1125.16025
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Viktor
2005
Quantization of classical dynamical $$r$$-matrices with nonabelian base. Zbl 1063.17013
Enriquez, Benjamin; Etingof, Pavel
2005
Continuous Hecke algebras. Zbl 1115.20005
Etingof, Pavel; Gan, Wee Liang; Ginzburg, Victor
2005
Etingof, Pavel; Gelaki, Shlomo
2005
Finite dimensional representations of symplectic reflection algebras associated to wreath products. Zbl 1153.16011
Etingof, Pavel; Montarani, Silvia
2005
Hochschild cohomology of quantized symplectic orbifolds and the Chen-Ruan cohomology. Zbl 1088.53061
Dolgushev, Vasiliy; Etingof, Pavel
2005
On the invertibility of quantization functors. Zbl 1152.17005
Enriquez, Benjamin; Etingof, Pavel
2005
Comparison of Poisson structures and Poisson-Lie dynamical $$r$$-matrices. Zbl 1092.53057
Enriquez, Benjamin; Etingof, Pavel; Marshall, Ian
2005
New deformations of group algebras of Coxeter groups. Zbl 1099.20019
Etingof, Pavel; Rains, Eric
2005
The dynamical Yang-Baxter equation, representation theory, and quantum integrable systems. Zbl 1071.17012
Etingof, Pavel; Latour, Frédéric
2005
Orthogonality and the qKZB-heat equation for traces of $$U_q({\mathfrak g})$$-intertwiners. Zbl 1160.17305
Etingof, P.; Varchenko, A.
2005
...and 98 more Documents
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#### Cited by 2,065 Authors

 85 Etingof, Pavel Il’ich 27 Jespers, Eric 27 Rump, Wolfgang 24 Li, Haisheng 23 Natale, Sonia 23 Rowell, Eric C. 20 Mudrov, Andrey I. 20 Runkel, Ingo 20 Wang, Zhenghan 19 Okniński, Jan 19 Schedler, Travis 18 Galindo Martínez, César Neyit 18 Nikshych, Dmitri 17 Burciu, Sebastian M. 17 Cedó, Ferran 17 Losev, Ivan V. 17 Ng, Siu-Hung 17 Schweigert, Christoph 16 Ginzburg, Victor 16 Varchenko, Alexander Nikolaevich 16 Zhang, Yinhuo 15 Andruskiewitsch, Nicolás 15 Bellamy, Gwyn 15 Dong, Jingcheng 15 Fuchs, Jürgen 15 Gelaki, Shlomo 15 Vendramin, Leandro 14 Fehér, László Gy. 14 Kong, Liang 14 Shimizu, Kenichi 14 Snyder, Noah 14 Walton, Chelsea 13 Ostrik, Victor Valentinovich 13 Stolin, Alexander 13 Witherspoon, Sarah J. 12 Enriquez, Benjamin 11 Catino, Francesco 11 Gateva-Ivanova, Tatiana 11 Morrison, Scott 10 Angiono, Iván Ezequiel 10 Finkelberg, Michael Vladlenovich 10 Gaiffi, Giovanni 10 Huang, Hua-Lin 10 Jordan, David Andrew 10 Kadison, Lars 10 Kožić, Slaven 10 Liu, Gongxiang 10 Oblomkov, Alexei A. 10 Zhang, James J. 9 Bai, Chengming 9 Bichon, Julien 9 Bulacu, Daniel 9 Chalykh, Oleg A. 9 Cherednik, Ivan V. 9 Neshveyev, Sergey V. 9 Plavnik, Julia Yael 9 Przytycki, Józef H. 9 Rains, Eric M. 9 Sun, Jiancai 9 van Oystaeyen, Freddy 8 Bachiller, David 8 Beattie, Margaret 8 Chirvăsitu, Alexandru 8 Cohen, Miriam 8 Cox, Ben Lewis 8 Davydov, Alekseĭ Aleksandrovich 8 De Commer, Kenny 8 Goswami, Debashish 8 Griffeth, Stephen 8 Halbout, Gilles 8 Karolinsky, Eugene 8 Khare, Apoorva 8 Kirillov, Alexander A. jun. 8 Ma, Xiaoguang 8 Mombelli, Martín 8 Schauenburg, Peter 8 Stokman, Jasper V. 8 Tarasov, Vitaly Olegovich 8 Tikaradze, Akaki 8 Vasserot, Eric 8 Veselov, Alexander Petrovich 8 Westreich, Sara 7 Berest, Yuri Yu. 7 Bruillard, Paul 7 Creutzig, Thomas 7 Cuadra, Juan 7 Fehér, László M. 7 Guay, Nicolas 7 Hassan, Mahmood-Ul 7 Kasman, Alex 7 Kirkman, Ellen E. 7 Lebed, Victoria 7 Li, Libin 7 Lu, Jiang-Hua 7 Masuoka, Akira 7 Pusztai, Béla Gábor 7 Schaumann, Gregor 7 Shepler, Anne V. 7 Smoktunowicz, Agata 7 Torrecillas Jover, Blas ...and 1,965 more Authors
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#### Cited in 256 Serials

 309 Journal of Algebra 181 Advances in Mathematics 148 Communications in Mathematical Physics 90 Journal of Pure and Applied Algebra 86 Communications in Algebra 72 Journal of Mathematical Physics 70 Journal of High Energy Physics 62 Selecta Mathematica. New Series 60 Algebras and Representation Theory 58 Letters in Mathematical Physics 52 Transactions of the American Mathematical Society 35 Journal of Geometry and Physics 34 Nuclear Physics. B 34 Proceedings of the American Mathematical Society 33 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 27 Mathematische Zeitschrift 27 Transformation Groups 26 Duke Mathematical Journal 26 Journal of Knot Theory and its Ramifications 24 Theoretical and Mathematical Physics 24 Journal of Algebra and its Applications 22 International Journal of Mathematics 20 Representation Theory 19 Compositio Mathematica 19 Journal of Noncommutative Geometry 16 Applied Categorical Structures 15 Israel Journal of Mathematics 15 Communications in Contemporary Mathematics 14 Journal of Nonlinear Mathematical Physics 13 Journal of the American Mathematical Society 13 Bulletin of the American Mathematical Society. New Series 12 Journal für die Reine und Angewandte Mathematik 12 Journal of Algebraic Combinatorics 11 Inventiones Mathematicae 11 Algebraic & Geometric Topology 10 Glasgow Mathematical Journal 10 Journal of Combinatorial Theory. Series A 10 Mathematische Annalen 10 Algebra Colloquium 10 Annales Henri Poincaré 9 Journal of Mathematical Analysis and Applications 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 9 International Journal of Algebra and Computation 9 Frontiers of Mathematics in China 8 Annales de l’Institut Fourier 8 Journal of Functional Analysis 8 Topology and its Applications 8 Quantum Topology 7 Monatshefte für Mathematik 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Advances in Applied Mathematics 7 Physica D 7 Forum Mathematicum 7 European Journal of Applied Mathematics 7 Theory and Applications of Categories 6 Reviews in Mathematical Physics 6 Computational Methods and Function Theory 5 Physics Letters. A 5 Bulletin of the London Mathematical Society 5 Manuscripta Mathematica 5 Journal of Mathematical Sciences (New York) 5 Geometry & Topology 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Central European Journal of Mathematics 5 Journal of Physics A: Mathematical and Theoretical 5 Algebra & Number Theory 5 Japanese Journal of Mathematics. 3rd Series 5 Arnold Mathematical Journal 4 International Journal of Modern Physics A 4 Journal of Statistical Physics 4 Acta Mathematica 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Archiv der Mathematik 4 Pacific Journal of Mathematics 4 European Journal of Combinatorics 4 Acta Applicandae Mathematicae 4 Linear Algebra and its Applications 4 Indagationes Mathematicae. New Series 4 Experimental Mathematics 4 Annales Mathématiques Blaise Pascal 4 Documenta Mathematica 4 Séminaire Lotharingien de Combinatoire 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 4 Journal of the Institute of Mathematics of Jussieu 4 São Paulo Journal of Mathematical Sciences 4 Science China. Mathematics 4 Analysis and Mathematical Physics 3 Modern Physics Letters A 3 Russian Mathematical Surveys 3 Mathematics of Computation 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Applied Mathematics and Computation 3 Publications Mathématiques 3 Journal of Differential Equations 3 Journal of the Mathematical Society of Japan 3 Memoirs of the American Mathematical Society 3 Osaka Journal of Mathematics 3 Proceedings of the London Mathematical Society. Third Series ...and 156 more Serials
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#### Cited in 56 Fields

 944 Associative rings and algebras (16-XX) 722 Nonassociative rings and algebras (17-XX) 536 Quantum theory (81-XX) 458 Group theory and generalizations (20-XX) 435 Category theory; homological algebra (18-XX) 270 Algebraic geometry (14-XX) 177 Differential geometry (53-XX) 152 Manifolds and cell complexes (57-XX) 140 Dynamical systems and ergodic theory (37-XX) 126 Combinatorics (05-XX) 110 Functional analysis (46-XX) 94 Special functions (33-XX) 89 Partial differential equations (35-XX) 77 Global analysis, analysis on manifolds (58-XX) 73 Topological groups, Lie groups (22-XX) 66 Commutative algebra (13-XX) 51 Statistical mechanics, structure of matter (82-XX) 48 Algebraic topology (55-XX) 47 Several complex variables and analytic spaces (32-XX) 45 Number theory (11-XX) 43 $$K$$-theory (19-XX) 42 Fluid mechanics (76-XX) 37 Relativity and gravitational theory (83-XX) 33 Functions of a complex variable (30-XX) 30 Difference and functional equations (39-XX) 29 Mechanics of particles and systems (70-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 23 Ordinary differential equations (34-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 19 Potential theory (31-XX) 17 Field theory and polynomials (12-XX) 16 General algebraic systems (08-XX) 15 Operator theory (47-XX) 12 Convex and discrete geometry (52-XX) 11 Probability theory and stochastic processes (60-XX) 10 Computer science (68-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Abstract harmonic analysis (43-XX) 9 Geometry (51-XX) 7 Mathematical logic and foundations (03-XX) 6 Numerical analysis (65-XX) 5 Approximations and expansions (41-XX) 4 Real functions (26-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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