Edit Profile (opens in new tab) Alekseev, Anton Yur’evich Compute Distance To: Compute Author ID: alekseev.anton-yu Published as: Alekseev, Anton; Alekseev, A.; Alekseev, A. Yu.; Alekseev, Anton Yu.; Alekseev, Anton Y. more...less Further Spellings: Алексеев Антон Юрьевич External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND Documents Indexed: 95 Publications since 1988 4 Contributions as Editor Co-Authors: 71 Co-Authors with 92 Joint Publications 1,390 Co-Co-Authors all top 5 Co-Authors 7 single-authored 20 Meinrenken, Eckhard 11 Schomerus, Volker 7 Shatashvili, Samson L. 6 Faddeev, Lyudvig Dmitrievich 5 Li, Yanpeng 5 Malkin, Anton Z. 5 Naef, Florian 5 Torossian, Charles 5 Woodward, Christopher T. 4 Hoffman, Benjamin 4 Recknagel, Andreas 3 Glushchenkov, D. V. 3 Kawazumi, Nariya 3 Kuno, Yusuke 3 Lane, Jeremy 3 Mnëv, Pavel 3 Podkopaeva, Maria 3 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 3 Ševera, Pavol 2 Berenstein, Arkady 2 Bytsko, Andrei G. 2 Grosse, Harald 2 Kosmann-Schwarzbach, Yvette 2 Lachowska, Anna 2 Szenes, András 1 Aref’eva, Irina Yaroslavna 1 Arzhakova, Elizaveta 1 Barmaz, Yves 1 Bursztyn, Henrique 1 Calaque, Damien 1 Chekeres, Olga 1 Crainic, Marius 1 Davydenkova, I. Yu. 1 Dito, Giuseppe 1 Enriquez, Benjamin 1 Fernandes, Rui Loja 1 Fredenhagen, Stefan 1 Frenkel, Edward V. 1 Fröhlich, Jürg Martin 1 Hietamäki, Antero 1 Huitu, Katri 1 Izyurov, Konstantin 1 Klimčík, Ctirad 1 Lyakhovskaya, A. V. 1 Mironov, Andrei D. 1 Monnier, Samuel 1 Moreau, Anne 1 Morozov, Alexei Yurievich 1 Niemi, Antti J. 1 Petracci, Emanuela 1 Petrov, Fedor Vladimirovich 1 Pflaum, Markus J. 1 Polychronakos, Alexios P. 1 Quella, Thomas 1 Raphael, Elise 1 Rossi, Carlo Antonio 1 Rosso, Marc 1 Sklyanin, Evgeny K. 1 Smedbäck, Mikael 1 Smirnov, Fedor A. 1 Smirnova, Daria 1 Strobl, Thomas 1 Takhtajan, Leon Armenovich 1 Todorov, Ivan T. 1 Tseytlin, Arkady Aleksandrovich 1 Vizman, Cornelia 1 Webster, Ben 1 Willwacher, Thomas Hans 1 Xu, Xiaomeng 1 Yakimov, Milen T. 1 Zhu, Chenchang all top 5 Serials 12 Communications in Mathematical Physics 6 Letters in Mathematical Physics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Mathematics 4 Inventiones Mathematicae 4 Journal of Differential Geometry 4 Journal of High Energy Physics 4 The Journal of Symplectic Geometry 3 Nuclear Physics. B 3 Physics Letters. B 3 Journal of Geometry and Physics 3 Duke Mathematical Journal 2 Reviews in Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Journal of Lie Theory 2 Selecta Mathematica. New Series 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Algebra i Analiz 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Indagationes Mathematicae. New Series 1 Mathematical Research Letters 1 Electronic Communications in Probability 1 Annals of Mathematics. Second Series 1 Oberwolfach Reports 1 Lecture Notes in Physics 1 Progress in Mathematics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Confluentes Mathematici 1 Quantum Topology 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 44 Quantum theory (81-XX) 42 Nonassociative rings and algebras (17-XX) 42 Differential geometry (53-XX) 21 Topological groups, Lie groups (22-XX) 17 Global analysis, analysis on manifolds (58-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Algebraic topology (55-XX) 4 Mechanics of particles and systems (70-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 1,076 times in 688 Documents Cited by ▼ Year ▼ Lie group valued moment maps. Zbl 0948.53045Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard 112 1998 Quasi-Poisson manifolds. Zbl 1006.53072Alekseev, A.; Kosmann-Schwarzbach, Y.; Meinrenken, E. 57 2002 Combinatorial quantization of the Hamiltonian Chern-Simons theory. I. Zbl 0842.58037Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker 54 1995 Symplectic structures associated to Lie-Poisson groups. Zbl 0797.58020Alekseev, A. Yu.; Malkin, A. Z. 47 1994 Quantization of symplectic orbits of compact Lie groups by means of the functional integral. Zbl 0698.58025Alekseev, A.; Faddeev, L.; Shatashvili, S. 47 1988 Brane dynamics in background fluxes and non-commutative geometry. Zbl 0992.81061Alekseev, Anton Yu.; Recknagel, Andreas; Schomerus, Volker 47 2000 The non-commutative Weil algebra. Zbl 0945.57017Alekseev, A.; Meinrenken, E. 41 2000 Symplectic structure of the moduli space of flat connection on a Riemann surface. Zbl 0829.53028Alekseev, A. Yu.; Malkin, A. Z. 40 1995 Combinatorial quantization of the Hamiltonian Chern-Simons theory. II. Zbl 0842.58038Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker 39 1996 The Kashiwara-Vergne conjecture and Drinfeld’s associators. Zbl 1243.22009Alekseev, Anton; Torossian, Charles 34 2012 From geometric quantization to conformal field theory. Zbl 0703.22014Alekseev, A.; Shatashvili, S. 32 1990 \((T^*G)_ t\): a toy model for conformal field theory. Zbl 0767.17024Alekseev, A. Yu.; Faddeev, L. D. 31 1991 Hidden quantum groups inside Kac-Moody algebras. Zbl 0765.17010Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A. 29 1992 Invariant *-products on coadjoint orbits and the Shapovalov pairing. Zbl 1162.53327Alekseev, Anton; Lachowska, A. 24 2005 Representation theory of Chern-Simons observables. Zbl 0869.58005Alekseev, Anton Yu.; Schomerus, Volker 24 1996 Manin pairs and moment maps. Zbl 1046.53055Alekseev, Anton; Kosmann-Schwarzbach, Yvette 21 2000 Lie theory and the Chern-Weil homomorphism. Zbl 1105.17015Alekseev, Anton; Meinrenken, Eckhard 20 2005 Non-commutative world-volume geometries: branes on SU(2) and fuzzy spheres. Zbl 0957.81084Alekseev, Anton Yu.; Recknagel, Andreas; Schomerus, Volker 19 1999 On Poisson actions of compact Lie groups on symplectic manifolds. Zbl 0912.53018Alekseev, A. Yu. 18 1997 The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem. Zbl 1422.57053Alekseev, Anton; Kawazumi, Nariya; Kuno, Yusuke; Naef, Florian 17 2018 Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations. Zbl 1238.17008Alekseev, A.; Enriquez, B.; Torossian, C. 16 2010 Quantum Poisson-Lie \(T\)-duality and WZNW model. Zbl 1003.81511Alekseev, A. Yu.; Klimčík, C.; Tseytlin, A. A. 16 1996 Pure spinors on Lie groups. Zbl 1251.53052Alekseev, A.; Bursztyn, H.; Meinrenken, E. 16 2009 Ginzburg-Weinstein via Gelfand-Zeitlin. Zbl 1119.53053Alekseev, A.; Meinrenken, E. 13 2007 On the Kashiwara-Vergne conjecture. Zbl 1096.22007Alekseev, A.; Meinrenken, E. 13 2006 Quantum groups and WZNW models. Zbl 0748.17009Alekseev, A.; Shatashvili, S. 13 1990 Kontsevich deformation quantization and flat connections. Zbl 1204.17015Alekseev, Anton; Torossian, Charles 12 2010 The Verlinde formulas as fixed point formulas. Zbl 1033.53074Alekseev, A.; Meinrenken, E.; Woodward, C. 12 2001 Linearization of Poisson actions and singular values of matrix products. Zbl 1012.53064Alekseev, Anton; Meinrenken, Eckhard; Woodward, Chris 11 2001 Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces. Zbl 1008.53065Alekseev, A.; Meinrenken, E.; Woodward, C. 11 2002 Linearization of Poisson Lie group structures. Zbl 1357.53096Alekseev, Anton; Meinrenken, Eckhard 9 2016 One-dimensional Chern-Simons theory. Zbl 1235.81112Alekseev, Anton; Mnëv, Pavel 8 2011 Quantization of Wilson loops in Wess-Zumino-Witten models. Zbl 1326.81172Alekseev, Anton; Monnier, Samuel 7 2007 Equivariant cohomology and the Maurer-Cartan equation. Zbl 1085.57022Alekseev, A.; Meinrenken, E. 7 2005 Hidden quantum groups inside Kac-Moody algebras. Zbl 0798.17008Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A. 7 1992 Poisson geometry and the Kashiwara-Vergne conjecture. Zbl 1057.17004Alekseev, Anton; Meinrenken, Eckhard 7 2002 Noncommutative gauge theory of twisted D-branes. Zbl 0999.81083Alekseev, Anton Yu.; Fredenhagen, Stefan; Quella, Thomas; Schomerus, Volker 7 2002 Clifford algebras and the classical dynamical Yang-Baxter equation. Zbl 1139.17308Alekseev, A.; Meinrenken, E. 7 2003 Dirac structures and Dixmier-Douady bundles. Zbl 1244.46038Alekseev, A.; Meinrenken, E. 6 2012 Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra. (Problèmes de Kashiwara-Vergne en genre supérieur et la bigèbre de Lie de Goldman-Turaev.) Zbl 1420.57052Alekseev, Anton; Kawazumi, Nariya; Kuno, Yusuke; Naef, Florian 6 2017 Group-valued equivariant localization. Zbl 0959.58031Alekseev, A.; Meinrenken, E.; Woodward, C. 6 2000 On area and entropy of a black hole. Zbl 1058.83515Alekseev, A.; Polychronakos, A. P.; Smedbäck, M. 6 2003 Chern-Simons theory with Wilson lines and boundary in the BV-BFV formalism. Zbl 1267.58016Alekseev, Anton; Barmaz, Yves; Mnev, Pavel 6 2013 Integrability in the Hamiltonian Chern-Simons theory. Zbl 0819.58011Alekseev, A. Yu. 5 1994 Coadjoint orbits, cocycles and gravitational Wess-Zumino. Zbl 1397.81108Alekseev, Anton; Shatashvili, Samson L. 5 2018 Quadratic brackets from symplectic forms. Zbl 0990.81530Alekseev, Anton Yu.; Todorov, Ivan T. 5 1994 Representation theory of lattice current algebras. Zbl 0892.17019Alekseev, Anton Y.; Faddeev, Ludwig D.; Fröhlich, Jürg; Schomerus, Volker 5 1998 The Atiyah algebroid of the path fibration over a Lie group. Zbl 1181.22019Alekseev, Anton; Meinrenken, Eckhard 4 2009 Chern-Simons, Wess-Zumino and other cocycles from Kashiwara-Vergne and associators. Zbl 1390.17011Alekseev, Anton; Naef, Florian; Xu, Xiaomeng; Zhu, Chenchang 4 2018 On SLE martingales in boundary WZW models. Zbl 1238.60088Alekseev, Anton; Bytsko, Andrei; Izyurov, Konstantin 4 2011 The \(U(n)\) Gelfand-Zeitlin system as a tropical limit of Ginzburg-Weinstein diffeomorphisms. Zbl 1407.53092Alekseev, A.; Lane, J.; Li, Y. 4 2018 The Horn problem and planar networks. Zbl 1369.05207Alekseev, Anton; Podkopaeva, Masha; Szenes, Andras 4 2017 B-independence of RR charges. Zbl 0994.81090Alekseev, A.; Mironov, A.; Morozov, A. 4 2002 Low order terms of the Campbell-Hausdorff series and the Kashiwara-Vergne conjecture. Zbl 1111.22017Alekseev, A.; Petracci, E. 4 2006 The hyperbolic moduli space of flat connections and the isomorphism of symplectic multiplicity spaces. Zbl 0978.53132Alekseev, Anton Yu.; Malkin, Anton Z. 4 1998 On triviality of the Kashiwara-Vergne problem for quadratic Lie algebras. Zbl 1228.17015Alekseev, Anton; Torossian, Charles 4 2009 Scientific heritage of L. D. Faddeev. Survey of papers. Zbl 1396.81008Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L. 3 2017 Wilson surface observables from equivariant cohomology. Zbl 1388.81266Alekseev, Anton; Chekeres, Olga; Mnev, Pavel 3 2015 Concentration of symplectic volumes on Poisson homogeneous spaces. Zbl 07285786Alekseev, Anton; Hoffman, Benjamin; Lane, Jeremy; Li, Yanpeng 3 2020 Regular representation of the quantum group \(sl_ q(2)\) (\(q\) is a root of unity). Zbl 0839.22025Alekseev, A. Yu.; Glushchenkov, D. V.; Lyakhovskaya, A. V. 3 1994 A symplectic proof of the Horn inequalities. Zbl 1372.15011Alekseev, Anton; Podkopaeva, Masha; Szenes, Andras 3 2017 Goldman-Turaev formality implies Kashiwara-Vergne. Zbl 1479.57036Alekseev, Anton; Kawazumi, Nariya; Kuno, Yusuke; Naef, Florian 3 2020 Equivariant cohomology and current algebras. Zbl 1272.57025Alekseev, Anton; Ševera, Pavol 2 2012 Inequalities from Poisson brackets. Zbl 1301.53087Alekseev, A.; Davydenkova, I. 2 2014 The Chern-Simons theory and quantized moduli spaces of flat connections. Zbl 0876.57023Alekseev, Anton Yu.; Schomerus, Volker 2 1996 Characters, coadjoint orbits and Duistermaat-Heckman integrals. Zbl 1487.22014Alekseev, Anton; Shatashvili, Samson L. 2 2021 An involution and dynamics for the \(q\)-deformed quantum top. Zbl 0835.17008Alekseev, A. Yu.; Faddeev, L. D. 2 1992 Integrability in the Hamiltonian Chern-Simons theory. Zbl 0824.58026Alekseev, A. Yu. 2 1994 Coadjoint orbits, cocycles and gravitational Wess-Zumino. Zbl 1393.81028Alekseev, Anton; Shatashvili, Samson L. 2 2018 Poisson structures and potentials. Zbl 1459.22003Alekseev, Anton; Berenstein, Arkady; Hoffman, Benjamin; Li, Yanpeng 2 2018 Notes on equivariant localization. Zbl 0974.81053Alekseev, Anton 2 1999 Closed constraint algebras and path integrals for loop group actions. Zbl 1014.81046Alekseev, Anton; Schomerus, Volker; Strobl, Thomas 2 2001 Goldman-Turaev formality from the Knizhnik-Zamolodchikov connection. (Connexion de Knizhnik-Zamolodchikov et formalité pour la bigèbre de Lie de Goldman-Turaev.) Zbl 1425.17029Alekseev, Anton; Naef, Florian 1 2017 Divergence and \(q\)-divergence in depth 2. Zbl 1346.17005Alekseev, Anton; Lachowska, Anna; Raphael, Elise 1 2015 Logarithms and deformation quantization. Zbl 1357.53103Alekseev, Anton; Rossi, Carlo A.; Torossian, Charles; Willwacher, Thomas 1 2016 Generalization of the Knizhnik-Zamolodchikov equations. Zbl 0893.17021Alekseev, Anton Yu.; Recknagel, Andreas; Schomerus, Volker 1 1997 On the Kostant conjecture for Clifford algebras. Zbl 1264.17006Alekseev, Anton; Moreau, Anne 1 2012 Wilson lines on noncommutative tori. Zbl 0990.81133Alekseev, Anton Yu.; Bytsko, Andrei G. 1 2000 Langlands duality and Poisson-Lie duality via cluster theory and tropicalization. Zbl 1484.22007Alekseev, Anton; Berenstein, Arkady; Hoffman, Benjamin; Li, Yanpeng 1 2021 Characters, coadjoint orbits and Duistermaat-Heckman integrals. Zbl 1487.22014Alekseev, Anton; Shatashvili, Samson L. 2 2021 Langlands duality and Poisson-Lie duality via cluster theory and tropicalization. Zbl 1484.22007Alekseev, Anton; Berenstein, Arkady; Hoffman, Benjamin; Li, Yanpeng 1 2021 Concentration of symplectic volumes on Poisson homogeneous spaces. Zbl 07285786Alekseev, Anton; Hoffman, Benjamin; Lane, Jeremy; Li, Yanpeng 3 2020 Goldman-Turaev formality implies Kashiwara-Vergne. Zbl 1479.57036Alekseev, Anton; Kawazumi, Nariya; Kuno, Yusuke; Naef, Florian 3 2020 The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem. Zbl 1422.57053Alekseev, Anton; Kawazumi, Nariya; Kuno, Yusuke; Naef, Florian 17 2018 Coadjoint orbits, cocycles and gravitational Wess-Zumino. Zbl 1397.81108Alekseev, Anton; Shatashvili, Samson L. 5 2018 Chern-Simons, Wess-Zumino and other cocycles from Kashiwara-Vergne and associators. Zbl 1390.17011Alekseev, Anton; Naef, Florian; Xu, Xiaomeng; Zhu, Chenchang 4 2018 The \(U(n)\) Gelfand-Zeitlin system as a tropical limit of Ginzburg-Weinstein diffeomorphisms. Zbl 1407.53092Alekseev, A.; Lane, J.; Li, Y. 4 2018 Coadjoint orbits, cocycles and gravitational Wess-Zumino. Zbl 1393.81028Alekseev, Anton; Shatashvili, Samson L. 2 2018 Poisson structures and potentials. Zbl 1459.22003Alekseev, Anton; Berenstein, Arkady; Hoffman, Benjamin; Li, Yanpeng 2 2018 Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra. (Problèmes de Kashiwara-Vergne en genre supérieur et la bigèbre de Lie de Goldman-Turaev.) Zbl 1420.57052Alekseev, Anton; Kawazumi, Nariya; Kuno, Yusuke; Naef, Florian 6 2017 The Horn problem and planar networks. Zbl 1369.05207Alekseev, Anton; Podkopaeva, Masha; Szenes, Andras 4 2017 Scientific heritage of L. D. Faddeev. Survey of papers. Zbl 1396.81008Takhtajan, Leon A.; Alekseev, Anton Yu.; Aref’eva, Irina Ya.; Semenov-Tian-Shansky, Michael A.; Sklyanin, Evgeny K.; Smirnov, Fedor A.; Shatashvili, Samson L. 3 2017 A symplectic proof of the Horn inequalities. Zbl 1372.15011Alekseev, Anton; Podkopaeva, Masha; Szenes, Andras 3 2017 Goldman-Turaev formality from the Knizhnik-Zamolodchikov connection. (Connexion de Knizhnik-Zamolodchikov et formalité pour la bigèbre de Lie de Goldman-Turaev.) Zbl 1425.17029Alekseev, Anton; Naef, Florian 1 2017 Linearization of Poisson Lie group structures. Zbl 1357.53096Alekseev, Anton; Meinrenken, Eckhard 9 2016 Logarithms and deformation quantization. Zbl 1357.53103Alekseev, Anton; Rossi, Carlo A.; Torossian, Charles; Willwacher, Thomas 1 2016 Wilson surface observables from equivariant cohomology. Zbl 1388.81266Alekseev, Anton; Chekeres, Olga; Mnev, Pavel 3 2015 Divergence and \(q\)-divergence in depth 2. Zbl 1346.17005Alekseev, Anton; Lachowska, Anna; Raphael, Elise 1 2015 Inequalities from Poisson brackets. Zbl 1301.53087Alekseev, A.; Davydenkova, I. 2 2014 Chern-Simons theory with Wilson lines and boundary in the BV-BFV formalism. Zbl 1267.58016Alekseev, Anton; Barmaz, Yves; Mnev, Pavel 6 2013 The Kashiwara-Vergne conjecture and Drinfeld’s associators. Zbl 1243.22009Alekseev, Anton; Torossian, Charles 34 2012 Dirac structures and Dixmier-Douady bundles. Zbl 1244.46038Alekseev, A.; Meinrenken, E. 6 2012 Equivariant cohomology and current algebras. Zbl 1272.57025Alekseev, Anton; Ševera, Pavol 2 2012 On the Kostant conjecture for Clifford algebras. Zbl 1264.17006Alekseev, Anton; Moreau, Anne 1 2012 One-dimensional Chern-Simons theory. Zbl 1235.81112Alekseev, Anton; Mnëv, Pavel 8 2011 On SLE martingales in boundary WZW models. Zbl 1238.60088Alekseev, Anton; Bytsko, Andrei; Izyurov, Konstantin 4 2011 Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations. Zbl 1238.17008Alekseev, A.; Enriquez, B.; Torossian, C. 16 2010 Kontsevich deformation quantization and flat connections. Zbl 1204.17015Alekseev, Anton; Torossian, Charles 12 2010 Pure spinors on Lie groups. Zbl 1251.53052Alekseev, A.; Bursztyn, H.; Meinrenken, E. 16 2009 The Atiyah algebroid of the path fibration over a Lie group. Zbl 1181.22019Alekseev, Anton; Meinrenken, Eckhard 4 2009 On triviality of the Kashiwara-Vergne problem for quadratic Lie algebras. Zbl 1228.17015Alekseev, Anton; Torossian, Charles 4 2009 Ginzburg-Weinstein via Gelfand-Zeitlin. Zbl 1119.53053Alekseev, A.; Meinrenken, E. 13 2007 Quantization of Wilson loops in Wess-Zumino-Witten models. Zbl 1326.81172Alekseev, Anton; Monnier, Samuel 7 2007 On the Kashiwara-Vergne conjecture. Zbl 1096.22007Alekseev, A.; Meinrenken, E. 13 2006 Low order terms of the Campbell-Hausdorff series and the Kashiwara-Vergne conjecture. Zbl 1111.22017Alekseev, A.; Petracci, E. 4 2006 Invariant *-products on coadjoint orbits and the Shapovalov pairing. Zbl 1162.53327Alekseev, Anton; Lachowska, A. 24 2005 Lie theory and the Chern-Weil homomorphism. Zbl 1105.17015Alekseev, Anton; Meinrenken, Eckhard 20 2005 Equivariant cohomology and the Maurer-Cartan equation. Zbl 1085.57022Alekseev, A.; Meinrenken, E. 7 2005 Clifford algebras and the classical dynamical Yang-Baxter equation. Zbl 1139.17308Alekseev, A.; Meinrenken, E. 7 2003 On area and entropy of a black hole. Zbl 1058.83515Alekseev, A.; Polychronakos, A. P.; Smedbäck, M. 6 2003 Quasi-Poisson manifolds. Zbl 1006.53072Alekseev, A.; Kosmann-Schwarzbach, Y.; Meinrenken, E. 57 2002 Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces. Zbl 1008.53065Alekseev, A.; Meinrenken, E.; Woodward, C. 11 2002 Poisson geometry and the Kashiwara-Vergne conjecture. Zbl 1057.17004Alekseev, Anton; Meinrenken, Eckhard 7 2002 Noncommutative gauge theory of twisted D-branes. Zbl 0999.81083Alekseev, Anton Yu.; Fredenhagen, Stefan; Quella, Thomas; Schomerus, Volker 7 2002 B-independence of RR charges. Zbl 0994.81090Alekseev, A.; Mironov, A.; Morozov, A. 4 2002 The Verlinde formulas as fixed point formulas. Zbl 1033.53074Alekseev, A.; Meinrenken, E.; Woodward, C. 12 2001 Linearization of Poisson actions and singular values of matrix products. Zbl 1012.53064Alekseev, Anton; Meinrenken, Eckhard; Woodward, Chris 11 2001 Closed constraint algebras and path integrals for loop group actions. Zbl 1014.81046Alekseev, Anton; Schomerus, Volker; Strobl, Thomas 2 2001 Brane dynamics in background fluxes and non-commutative geometry. Zbl 0992.81061Alekseev, Anton Yu.; Recknagel, Andreas; Schomerus, Volker 47 2000 The non-commutative Weil algebra. Zbl 0945.57017Alekseev, A.; Meinrenken, E. 41 2000 Manin pairs and moment maps. Zbl 1046.53055Alekseev, Anton; Kosmann-Schwarzbach, Yvette 21 2000 Group-valued equivariant localization. Zbl 0959.58031Alekseev, A.; Meinrenken, E.; Woodward, C. 6 2000 Wilson lines on noncommutative tori. Zbl 0990.81133Alekseev, Anton Yu.; Bytsko, Andrei G. 1 2000 Non-commutative world-volume geometries: branes on SU(2) and fuzzy spheres. Zbl 0957.81084Alekseev, Anton Yu.; Recknagel, Andreas; Schomerus, Volker 19 1999 Notes on equivariant localization. Zbl 0974.81053Alekseev, Anton 2 1999 Lie group valued moment maps. Zbl 0948.53045Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard 112 1998 Representation theory of lattice current algebras. Zbl 0892.17019Alekseev, Anton Y.; Faddeev, Ludwig D.; Fröhlich, Jürg; Schomerus, Volker 5 1998 The hyperbolic moduli space of flat connections and the isomorphism of symplectic multiplicity spaces. Zbl 0978.53132Alekseev, Anton Yu.; Malkin, Anton Z. 4 1998 On Poisson actions of compact Lie groups on symplectic manifolds. Zbl 0912.53018Alekseev, A. Yu. 18 1997 Generalization of the Knizhnik-Zamolodchikov equations. Zbl 0893.17021Alekseev, Anton Yu.; Recknagel, Andreas; Schomerus, Volker 1 1997 Combinatorial quantization of the Hamiltonian Chern-Simons theory. II. Zbl 0842.58038Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker 39 1996 Representation theory of Chern-Simons observables. Zbl 0869.58005Alekseev, Anton Yu.; Schomerus, Volker 24 1996 Quantum Poisson-Lie \(T\)-duality and WZNW model. Zbl 1003.81511Alekseev, A. Yu.; Klimčík, C.; Tseytlin, A. A. 16 1996 The Chern-Simons theory and quantized moduli spaces of flat connections. Zbl 0876.57023Alekseev, Anton Yu.; Schomerus, Volker 2 1996 Combinatorial quantization of the Hamiltonian Chern-Simons theory. I. Zbl 0842.58037Alekseev, Anton Yu.; Grosse, Harald; Schomerus, Volker 54 1995 Symplectic structure of the moduli space of flat connection on a Riemann surface. Zbl 0829.53028Alekseev, A. Yu.; Malkin, A. Z. 40 1995 Symplectic structures associated to Lie-Poisson groups. Zbl 0797.58020Alekseev, A. Yu.; Malkin, A. Z. 47 1994 Integrability in the Hamiltonian Chern-Simons theory. Zbl 0819.58011Alekseev, A. Yu. 5 1994 Quadratic brackets from symplectic forms. Zbl 0990.81530Alekseev, Anton Yu.; Todorov, Ivan T. 5 1994 Regular representation of the quantum group \(sl_ q(2)\) (\(q\) is a root of unity). Zbl 0839.22025Alekseev, A. Yu.; Glushchenkov, D. V.; Lyakhovskaya, A. V. 3 1994 Integrability in the Hamiltonian Chern-Simons theory. Zbl 0824.58026Alekseev, A. Yu. 2 1994 Hidden quantum groups inside Kac-Moody algebras. Zbl 0765.17010Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A. 29 1992 Hidden quantum groups inside Kac-Moody algebras. Zbl 0798.17008Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A. 7 1992 An involution and dynamics for the \(q\)-deformed quantum top. Zbl 0835.17008Alekseev, A. Yu.; Faddeev, L. D. 2 1992 \((T^*G)_ t\): a toy model for conformal field theory. Zbl 0767.17024Alekseev, A. Yu.; Faddeev, L. D. 31 1991 From geometric quantization to conformal field theory. Zbl 0703.22014Alekseev, A.; Shatashvili, S. 32 1990 Quantum groups and WZNW models. Zbl 0748.17009Alekseev, A.; Shatashvili, S. 13 1990 Quantization of symplectic orbits of compact Lie groups by means of the functional integral. Zbl 0698.58025Alekseev, A.; Faddeev, L.; Shatashvili, S. 47 1988 all cited Publications top 5 cited Publications all top 5 Cited by 760 Authors 43 Alekseev, Anton Yur’evich 13 Klimčík, Ctirad 12 Mudrov, Andrey I. 11 Fehér, László Gy. 11 Meinrenken, Eckhard 11 Meusburger, Catherine 10 Mnëv, Pavel 8 Grosse, Harald 8 Schomerus, Volker 8 Ševera, Pavol 7 Cattaneo, Alberto Sergio 7 Fairon, Maxime 7 Majid, Shahn 7 Naef, Florian 7 Schroers, Bernd J. 7 Torossian, Charles 6 Boalch, Philip P. 6 Kuno, Yusuke 6 Mertens, Thomas G. 6 Ortega, Juan-Pablo 6 Reshetikhin, Nikolai Yu. 6 Safronov, Pavel 6 Shatashvili, Samson L. 6 Willwacher, Thomas Hans 6 Xu, Xiaomeng 5 Dolgushev, Vasily A. 5 Gawȩdzki, Krzysztof 5 Jeffrey, Lisa Claire 5 Jordan, David Andrew 5 Loizides, Yiannis 5 Rezaei-Aghdam, Adel 5 Steinacker, Harold 5 Turiaci, Gustavo J. 5 Yur’ev, Denis Valer’evich 4 Bar-Natan, Dror 4 Eghbali, Ali 4 Enriquez, Benjamin 4 Faddeev, Lyudvig Dmitrievich 4 Fuchs, Jürgen 4 Furusho, Hidekazu 4 Hadjiivanov, Ludmil K. 4 Kawazumi, Nariya 4 Korotkin, Dmitrii A. 4 Koshida, Shinji 4 Krepski, Derek 4 Kupriyanov, Vladislav G. 4 Le, Thang Tu Quoc 4 Madore, John 4 Osei, Prince K. 4 Pandžić, Pavle 4 Ratiu, Tudor Stefan 4 Recknagel, Andreas 4 Rossi, Carlo Antonio 4 Schweigert, Christoph 4 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 4 Sjamaar, Reyer 4 Szabo, Richard J. 4 Szenes, András 4 Teleman, Constantin 4 Todorov, Ivan T. 4 Turaev, Vladimir Georgievich 4 Woodward, Christopher T. 3 Bertola, Marco 3 Biswas, Indranil 3 Blommaert, Andreas 3 Brochier, Adrien 3 Calaque, Damien 3 Dancso, Zsuzsanna 3 Donin, Joseph 3 Erdmenger, Johanna 3 Fok, Chi-Kwong 3 Furlan, Paolo 3 Gerasimov, Anton A. 3 Görbe, Tamás F. 3 Hain, Richard M. 3 Isaev, Alekseĭ Petrovich 3 Jurčo, Branislav 3 Kapranov, Mikhail M. 3 Landweber, Gregory D. 3 Lane, Jeremy 3 Lechtenfeld, Olaf 3 Li, Yanpeng 3 Livine, Etera R. 3 Lukierski, Jerzy 3 Miranda, Eva 3 Naculich, Stephen G. 3 Nguyen Tien Zung 3 Noui, Karim 3 Pelayo, Alvaro 3 Podkopaeva, Maria 3 Popov, Alexander D. 3 Roche, Philippe 3 Rogers, Christopher Lee 3 Schmitt, Philipp 3 Schnitzer, Howard J. 3 Sheng, Yunhe 3 Starodubtsev, Artem N. 3 Strobl, Thomas 3 Suszek, Rafał R. 3 Verlinde, Herman L. ...and 660 more Authors all top 5 Cited in 112 Serials 72 Journal of High Energy Physics 64 Communications in Mathematical Physics 61 Nuclear Physics. B 51 Journal of Geometry and Physics 45 Journal of Mathematical Physics 31 Letters in Mathematical Physics 31 Advances in Mathematics 13 International Journal of Modern Physics A 12 Reviews in Mathematical Physics 12 Duke Mathematical Journal 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Theoretical and Mathematical Physics 9 Classical and Quantum Gravity 9 Transactions of the American Mathematical Society 9 Indagationes Mathematicae. New Series 8 Physics Letters. B 8 Annales de l’Institut Fourier 8 Journal of Algebra 8 Journal of Mathematical Sciences (New York) 8 Selecta Mathematica. New Series 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Transformation Groups 6 Inventiones Mathematicae 6 Annals of Mathematics. Second Series 6 Annales Henri Poincaré 6 Journal of Noncommutative Geometry 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Annalen 4 Journal of Functional Analysis 4 Pacific Journal of Mathematics 4 Differential Geometry and its Applications 4 Representation Theory 4 Living Reviews in Relativity 4 Algebraic & Geometric Topology 4 Journal of Physics A: Mathematical and Theoretical 3 Modern Physics Letters A 3 Communications in Algebra 3 General Relativity and Gravitation 3 Journal of Pure and Applied Algebra 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Journal of the American Mathematical Society 3 Journal of Lie Theory 3 Geometry & Topology 3 Journal of the European Mathematical Society (JEMS) 2 Israel Journal of Mathematics 2 Physics Reports 2 Reports on Mathematical Physics 2 Russian Mathematical Surveys 2 Fortschritte der Physik 2 Acta Mathematica Vietnamica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Annals of Global Analysis and Geometry 2 Linear Algebra and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 St. Petersburg Mathematical Journal 2 Theory and Applications of Categories 2 Algebras and Representation Theory 2 International Journal of Geometric Methods in Modern Physics 2 Japanese Journal of Mathematics. 3rd Series 2 Journal of Geometric Mechanics 2 Quantum Topology 2 EMS Surveys in Mathematical Sciences 2 Research in the Mathematical Sciences 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical Physics 1 Reviews of Modern Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Journal of Number Theory 1 Osaka Journal of Mathematics 1 Topology and its Applications 1 Physica D 1 Forum Mathematicum 1 International Journal of Mathematics 1 Expositiones Mathematicae 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Applied Categorical Structures 1 Kyushu Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Electronic Communications in Probability 1 Documenta Mathematica 1 Chaos 1 New Journal of Physics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Physical Review Letters 1 Journal of Nonlinear Mathematical Physics 1 Journal of the Australian Mathematical Society 1 Physical Review D. Series III 1 African Diaspora Journal of Mathematics 1 Oberwolfach Reports 1 The European Physical Journal C. Particles and Fields 1 Proceedings of the Steklov Institute of Mathematics ...and 12 more Serials all top 5 Cited in 42 Fields 351 Quantum theory (81-XX) 255 Differential geometry (53-XX) 225 Nonassociative rings and algebras (17-XX) 104 Global analysis, analysis on manifolds (58-XX) 104 Relativity and gravitational theory (83-XX) 82 Topological groups, Lie groups (22-XX) 80 Associative rings and algebras (16-XX) 67 Algebraic geometry (14-XX) 64 Manifolds and cell complexes (57-XX) 58 Dynamical systems and ergodic theory (37-XX) 45 Mechanics of particles and systems (70-XX) 32 Category theory; homological algebra (18-XX) 27 Group theory and generalizations (20-XX) 21 Algebraic topology (55-XX) 20 Functional analysis (46-XX) 14 Number theory (11-XX) 14 \(K\)-theory (19-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Partial differential equations (35-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Ordinary differential equations (34-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Combinatorics (05-XX) 6 Probability theory and stochastic processes (60-XX) 5 Abstract harmonic analysis (43-XX) 4 Commutative algebra (13-XX) 3 History and biography (01-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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