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## Wallach, Nolan Russell

Compute Distance To:
 Author ID: wallach.nolan-r Published as: Wallach, N.; Wallach, N. R.; Wallach, Nolan; Wallach, Nolan R.; Wallach, Noland; Wallach, Noland R. External Links: MGP · Wikidata · GND
 Documents Indexed: 165 Publications since 1968, including 16 Books Biographic References: 1 Publication
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#### Co-Authors

 59 single-authored 11 Garsia, Adriano M. 11 Goodman, Roe W. 8 Enright, Thomas J. 6 Greenfield, Stephen J. 6 Miatello, Roberto Jorge 5 Kostant, Bertram 5 Kraft, Hanspeter 4 do Carmo, Manfredo Perdigão 4 Gour, Gilad 4 Gross, Benedict Hyman 4 Rocha-Caridi, Alvany 3 Wolf, Joseph Albert 3 Xin, Guoce 2 Baur, Karin 2 Borel, Armand 2 DeGeorge, David Lee 2 Evans, Ronald J. 2 Hunziker, Markus 2 Johnson, Kenneth D. 2 Knapp, Anthony William 2 Meyer, David A. 2 Ni, Lei 2 Parthasarathy, Rajagopalan 2 Small, Lance W. 2 Zabrocki, Mike 2 Zhu, Chen-Bo 1 Aloff, Simon 1 Bell, Jason P. 1 Benton, Jessica 1 Bergeron, François 1 Bruggeman, Roelof Wichert 1 Cahen, Michel 1 Cheung, Man-Wai 1 Gomez, Raul 1 Hotta, Ryoshi 1 Howe, Roger Evans 1 Huang, Jing-Song 1 Kraus, Barbara 1 Kuttler, Jochen 1 Lebl, Jiří 1 Lepowsky, James 1 Leven, Emily Sergel 1 Li, Jian-Shu 1 Meshulam, Roy 1 Musiker, Gregg 1 Oshima, Toshio 1 Sally, Paul J. jun. 1 Shakeel, Asif 1 Snow, Rion 1 Stafford, J. Toby 1 Tan, Eng-Chye 1 Tirao, Juan 1 Vogan, David Alexander jun. 1 Warner, Frank W. 1 Willenbring, Jeb F. 1 Xin, Gouce 1 Yacobi, Oded
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#### Serials

 12 Transactions of the American Mathematical Society 7 Bulletin of the American Mathematical Society 5 Proceedings of the American Mathematical Society 4 Journal of Mathematical Physics 4 Inventiones Mathematicae 4 Journal of Differential Geometry 4 Journal of Functional Analysis 4 Annals of Mathematics. Second Series 3 Communications in Mathematical Physics 3 Journal of Combinatorial Theory. Series A 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Pacific Journal of Mathematics 2 Acta Mathematica 2 American Journal of Mathematics 2 Canadian Journal of Mathematics 2 Advances in Applied Mathematics 2 Linear Algebra and its Applications 2 Proceedings of the National Academy of Sciences of the United States of America 2 Mathematical Research Letters 2 Representation Theory 2 The Asian Journal of Mathematics 2 Encyclopedia of Mathematics and Its Applications 2 Pure and Applied Mathematics, Marcel Dekker 1 Discrete Mathematics 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Algebra 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Topology 1 European Journal of Combinatorics 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 Random Structures & Algorithms 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Bulletin de la Société Mathématique de Belgique. Série A 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Séminaire Lotharingien de Combinatoire 1 New Journal of Physics 1 Annals of Mathematics Studies 1 Graduate Texts in Mathematics 1 Mathematical Surveys and Monographs 1 Progress in Mathematics 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 1 Anais da Academia Brasileira de Ciências 1 Universitext 1 Dover Books on Mathematics
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#### Fields

 90 Topological groups, Lie groups (22-XX) 39 Nonassociative rings and algebras (17-XX) 22 Differential geometry (53-XX) 19 Abstract harmonic analysis (43-XX) 17 Group theory and generalizations (20-XX) 15 Number theory (11-XX) 15 Quantum theory (81-XX) 12 Combinatorics (05-XX) 11 Algebraic geometry (14-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Special functions (33-XX) 6 Commutative algebra (13-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Algebraic topology (55-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

139 Publications have been cited 3,349 times in 2,586 Documents Cited by Year
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
1980
Representations and invariants of the classical groups. Zbl 0901.22001
Goodman, Roe; Wallach, Nolan R.
1998
Real reductive groups I. Zbl 0666.22002
Wallach, Nolan R.
1988
Symmetry, representations, and invariants. Based on the book ‘Representations and invariants of the classical groups’ originally published by Cambridge University Press, 1998. Zbl 1173.22001
Goodman, Roe; Wallach, Nolan R.
2009
Harmonic analysis on homogeneous spaces. Zbl 0265.22022
Wallach, Nolan R.
1973
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
2000
Real reductive groups II. Zbl 0785.22001
Wallach, Nolan R.
1992
Compact homogeneous Riemannian manifolds with strictly positive curvature. Zbl 0261.53033
Wallach, Nolan R.
1972
An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures. Zbl 0362.53033
Aloff, Simon; Wallach, Nolan R.
1975
A classification of unitary highest weight modules. Zbl 0535.22012
Enright, Thomas; Howe, Roger; Wallach, Nolan
1983
Global entanglement in multiparticle systems. Zbl 1060.81506
Meyer, David A.; Wallach, Nolan R.
2002
Minimal immersions of spheres into spheres. Zbl 0218.53069
do Carmo, Manfredo Perdigão; Wallach, N. R.
1971
Homological connectivity of random $$k$$-dimensional complexes. Zbl 1177.55011
Meshulam, R.; Wallach, N.
2009
Limit formulas for multiplicities in $$L^2(\Gamma\setminus G)$$. Zbl 0397.22007
DeGeorge, David L.; Wallach, Nolan R.
1978
Composition series and intertwining operators for the spherical principal series. I. Zbl 0349.43010
Johnson, Kenneth D.; Wallach, Nolan R.
1977
The analytic continuation of the discrete series. II. Zbl 0419.22018
Wallach, Nolan R.
1979
Global hypoellipticity and Liouville numbers. Zbl 0229.35023
Greenfield, Stephen J.; Wallach, Nolan R.
1972
On a classification of gradient shrinking solitons. Zbl 1158.53052
Ni, Lei; Wallach, Nolan
2008
The analytic continuation of the discrete series. I. Zbl 0419.22017
Wallach, Nolan R.
1979
Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. Zbl 0514.22012
Goodman, Roe; Wallach, Nolan R.
1984
Lorentzian symmetric spaces. Zbl 0194.53202
Cahen, Michel; Wallach, N.
1970
Projective modules over graded Lie algebras. I. Zbl 0467.17006
Rocha-Caridi, Alvany; Wallach, Nolan R.
1982
Projective unitary positive-energy representations of $$Diff(S^ 1)$$. Zbl 0636.22013
Goodman, Roe; Wallach, Nolan R.
1985
On the Selberg trace formula in the case of compact quotient. Zbl 0351.22008
Wallach, Nolan R.
1976
Whittaker vectors and conical vectors. Zbl 0475.22010
Goodman, Roe; Wallach, Nolan R.
1980
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
2006
Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005
Wallach, Nolan R.
1983
On quaternionic discrete series representations, and their continuations. Zbl 0857.22012
Gross, Benedict H.; Wallach, Nolan R.
1996
Notes on homological algebra and representations of Lie algebras. Zbl 0429.17012
Enright, T. J.; Wallach, N. R.
1980
Minimal immersions of symmetric spaces into spheres. Zbl 0232.53027
Wallach, Nolan R.
1972
On the unitarizability of derived functor modules. Zbl 0547.22008
Wallach, Nolan R.
1984
On the constant term of a square integrable automorphic form. Zbl 0554.22004
Wallach, N. R.
1984
Szegoe kernels associated with discrete series. Zbl 0332.22015
Knapp, A. W.; Wallach, N. R.
1976
All maximally entangled four-qubit states. Zbl 1314.81037
Gour, Gilad; Wallach, Nolan R.
2010
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
2006
Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004
Wallach, Nolan R.
1993
Highest weight modules over graded Lie algebras: Resolutions, filtrations and character formulas. Zbl 0512.17007
Rocha-Caridi, Alvany; Wallach, Nolan R.
1983
A distinguished family of unitary representations for the exceptional groups of real rank $$= 4$$. Zbl 0839.22006
Gross, Benedict H.; Wallach, Nolan R.
1994
Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. Zbl 0592.58028
Goodman, Roe; Wallach, Nolan R.
1984
Symplectic geometry and Fourier analysis. With an appendix on quantum mechanics by Robert Hermann. Zbl 0379.53010
Wallach, Nolan R.
1977
Classical and quantum-mechanical systems of Toda lattice type. I. Zbl 0503.22013
Goodman, Roe; Wallach, Nolan R.
1982
Intertwining operators for real reductive groups. Zbl 0729.22021
Vogan, D. A. jun.; Wallach, N. R.
1990
Limit formulas for multiplicities in $$L^ 2(\Gamma-G)$$. II: The tempered spectrum. Zbl 0482.43006
DeGeorge, David L.; Wallach, Nolan R.
1979
Globally hypoelliptic vector fields. Zbl 0268.58007
Greenfield, Stephen J.; Wallach, Nolan R.
1973
Cyclic vectors and irreducibility for principal series representations. Zbl 0227.22016
Wallach, Nolan R.
1971
Characters of irreducible representations of the Lie algebra of vector fields on the circle. Zbl 0498.17010
Rocha-Caridi, Alvany; Wallach, Nolan R.
1983
On the Enright-Varadarajan modules: A construction of the discrete series. Zbl 0379.22008
Wallach, Nolan R.
1976
Unitary derived functor modules with small spectrum. Zbl 0568.22007
Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A.
1985
Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016
Baur, Karin; Wallach, Nolan
2005
Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008
Rocha-Caridi, Alvany; Wallach, Nolan R.
1984
Composition series and intertwining operators for the spherical principal series. Zbl 0257.22016
Johnson, Kenneth; Wallach, Nolan R.
1972
Finite- and infinite-dimensional representations of linear semisimple groups. Zbl 0279.17001
Lepowsky, James; Wallach, Nolan R.
1974
Remarks on global hypoellipticity. Zbl 0274.35018
Greenfield, Stephen J.; Wallach, Nolan R.
1973
Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301
do Carmo, Manfredo Perdigão; Wallach, N. R.
1970
The Hilbert series of measures of entanglement for 4 qubits. Zbl 1097.81023
Wallach, Nolan R.
2005
Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008
Gross, B.; Wallach, N.
2000
On four-dimensional gradient shrinking solitons. Zbl 1146.53039
Ni, Lei; Wallach, Nolan
2008
Kuznetsov formulas for real rank one groups. Zbl 0711.11023
Miatello, R.; Wallach, N. R.
1990
Automorphic forms constructed from Whittaker vectors. Zbl 0692.10029
Miatello, R.; Wallach, N. R.
1989
Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016
Wallach, Nolan R.
1988
Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems. Zbl 0616.22010
Goodman, Roe; Wallach, Nolan R.
1986
On Harish-Chandra’s generalized C-functions. Zbl 0312.22010
Wallach, Nolan R.
1975
Automorphism groups of bounded domains in Banach spaces. Zbl 0254.32026
Greenfield, Stephen J.; Wallach, Nolan R.
1972
The restriction of admissible modules to parabolic subalgebras. Zbl 0493.17004
Stafford, J. T.; Wallach, N. R.
1982
The fundamental series of representations of a real semisimple Lie algebra. Zbl 0383.22011
Enright, Thomas J.; Wallach, Nolan R.
1978
Induced representations of Lie algebras and a theorem of Borel-Weil. Zbl 0294.17005
Wallach, Nolan R.
1969
Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269
Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike
2012
On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044
Gross, Benedict H.; Wallach, Nolan R.
2011
On the nullcone of representations of reductive groups. Zbl 1124.20030
Kraft, Hanspeter; Wallach, Nolan R.
2006
Generalized Whittaker vectors for holomorphic and quaternionic representations. Zbl 1031.22006
Wallach, Nolan R.
2003
The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044
Miatello, R.; Wallach, N. R.
1992
Induced representations of Lie algebras. II. Zbl 0294.17006
Wallach, Nolan R.
1969
Correction and addition to Szegö kernels associated with discrete series. Zbl 0452.22016
Knapp, A. W.; Wallach, N. R.
1980
An asymptotic formula of Gelfand and Gangolli for the spectrum of $$\Gamma\setminus G$$. Zbl 0341.43009
Wallach, Nolan R.
1976
On maximal subsystems of root systems. Zbl 0235.17007
Wallach, Nolan R.
1968
Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002
Wallach, Nolan R.
2006
On Matsushima’s formula for the Betti numbers of a locally symmetric space. Zbl 0327.53032
Hotta, Ryoshi; Wallach, Nolan R.
1975
Curvature forms for 2-manifolds. Zbl 0197.47901
Wallach, N. R.; Warner, F. W.
1970
Extension of locally defined minimal immersions into spheres. Zbl 0193.22001
Wallach, Nolan R.
1970
A multiplicity formula for tensor products of $$\mathrm{SL}_2$$ modules and an explicit $$\mathrm{Sp}_{2n}$$ to $$\mathrm{Sp}_{2n-2}\times\mathrm{Sp}_2$$ branching formula. Zbl 1256.22007
Wallach, Nolan; Yacobi, Oded
2009
Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009
Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce
2009
On some $$q$$-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009
Wallach, N. R.; Willenbring, J.
2000
Representations of reductive Lie groups. Zbl 0421.22006
Wallach, Nolan R.
1979
A new plethystic symmetric function operator and the rational compositional shuffle conjecture at $$t=1/q$$. Zbl 1355.05254
Garsia, Adriano; Sergel Leven, Emily; Wallach, Nolan; Xin, Guoce
2017
An unentangled Gleason’s theorem. Zbl 1063.81038
Wallach, Nolan R.
2002
Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005
Meyer, David A.; Wallach, Noland
2002
Properties and examples of FCR-algebras. Zbl 1039.16027
Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R.
2001
Representations and invariants of the classical groups. Paperback ed. Zbl 0948.22001
Goodman, Roe; Wallach, Nolan R.
1999
Dimensions of spaces of generalized spherical functions. Zbl 0856.22012
Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan
1996
Polynomial differential operators associated with Hermitian symmetric spaces. Zbl 1226.22018
Wallach, Nolan R.
1992
On the unitarizability of representations with highest weights. Zbl 0311.22008
Wallach, Nolan R.
1975
Polarizations and nullcone of representations of reductive groups. Zbl 1223.20040
Kraft, Hanspeter; Wallach, Nolan R.
2010
A combinatorial problem associated with nonograms. Zbl 1076.05015
Benton, Jessica; Snow, Rion; Wallach, Nolan
2006
Hereditary properties of direct summands of algebras. Zbl 0952.16005
Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R.
1999
Resolvent and lattice points on symmetric spaces of strictly negative curvature. Zbl 0972.11094
Bruggeman, R. W.; Miatello, R. J.; Wallach, N. R.
1999
Embeddings of unitary highest weight representations and generalized Dirac operators. Zbl 0882.22014
Enright, Thomas J.; Wallach, Nolan R.
1997
Transfer of unitary representations between real forms. Zbl 0833.22021
Wallach, Nolan R.
1994
Higher-order Sugawara operators for affine Lie algebras. Zbl 0676.17013
Goodman, Roe; Wallach, Nolan R.
1989
Square integrable automorphic forms and cohomology of arithmetic quotients of $$SU(p,q)$$. Zbl 0533.10025
Wallach, Nolan R.
1984
Classes of unitarizable derived functor modules. Zbl 0527.22007
Enright, Thomas J.; Parthasarathy, Rajagopalan; Wallach, Nolan R.; Wolf, Joseph A.
1983
A new plethystic symmetric function operator and the rational compositional shuffle conjecture at $$t=1/q$$. Zbl 1355.05254
Garsia, Adriano; Sergel Leven, Emily; Wallach, Nolan; Xin, Guoce
2017
Geometric invariant theory. Over the real and complex numbers. Zbl 1387.14124
Wallach, Nolan R.
2017
Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and octonions. Zbl 1307.53052
Cheung, Man-Wai; Wallach, Nolan R.
2015
Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation. Zbl 1327.78003
Kostant, Bertram; Wallach, Nolan R.
2014
On symmetric SL-invariant polynomials in four qubits. Zbl 1314.81036
Gour, Gilad; Wallach, Nolan R.
2014
Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269
Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike
2012
Bessel models for general admissible induced representations: the compact stabilizer case. Zbl 1239.22002
Gomez, Raul; Wallach, Nolan
2012
On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044
Gross, Benedict H.; Wallach, Nolan R.
2011
On the algebraic set of singular elements in a complex simple Lie algebra. Zbl 1235.22009
Kostant, Bertram; Wallach, Nolan
2011
All maximally entangled four-qubit states. Zbl 1314.81037
Gour, Gilad; Wallach, Nolan R.
2010
Polarizations and nullcone of representations of reductive groups. Zbl 1223.20040
Kraft, Hanspeter; Wallach, Nolan R.
2010
Harmonics for deformed Steenrod operators (extended abstract). Zbl 1373.05202
Bergeron, François; Garsia, Adriano; Wallach, Nolan
2010
Symmetry, representations, and invariants. Based on the book ‘Representations and invariants of the classical groups’ originally published by Cambridge University Press, 1998. Zbl 1173.22001
Goodman, Roe; Wallach, Nolan R.
2009
Homological connectivity of random $$k$$-dimensional complexes. Zbl 1177.55011
Meshulam, R.; Wallach, N.
2009
A multiplicity formula for tensor products of $$\mathrm{SL}_2$$ modules and an explicit $$\mathrm{Sp}_{2n}$$ to $$\mathrm{Sp}_{2n-2}\times\mathrm{Sp}_2$$ branching formula. Zbl 1256.22007
Wallach, Nolan; Yacobi, Oded
2009
Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009
Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce
2009
Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials. Zbl 1228.05289
Garsia, A.; Wallach, N.; Xin, G.; Zabrocki, M.
2009
On a theorem of Ranee Brylinski. Zbl 1267.17006
Kostant, Bertram; Wallach, Nolan
2009
On a classification of gradient shrinking solitons. Zbl 1158.53052
Ni, Lei; Wallach, Nolan
2008
On four-dimensional gradient shrinking solitons. Zbl 1146.53039
Ni, Lei; Wallach, Nolan
2008
Quantum computing and entanglement for mathematicians. Zbl 1139.81332
Wallach, Nolan R.
2008
$$r$$-Qsym is free over Sym. Zbl 1115.05094
Garsia, A. M.; Wallach, N.
2007
Pfaffians and strategies for integer choice games. Zbl 1390.91013
Evans, Ron; Wallach, Nolan
2007
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
2006
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
2006
On the nullcone of representations of reductive groups. Zbl 1124.20030
Kraft, Hanspeter; Wallach, Nolan R.
2006
Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002
Wallach, Nolan R.
2006
A combinatorial problem associated with nonograms. Zbl 1076.05015
Benton, Jessica; Snow, Rion; Wallach, Nolan
2006
The non-degeneracy of the bilinear form of $$m$$-quasi-invariants. Zbl 1171.20313
Garsia, A. M.; Wallach, N.
2006
Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016
Baur, Karin; Wallach, Nolan
2005
The Hilbert series of measures of entanglement for 4 qubits. Zbl 1097.81023
Wallach, Nolan R.
2005
Transfer of unitary representations. Zbl 1071.22016
Wallach, Nolan R.; Zhu, Chen-Bo
2004
A Pieri rule for Hermitian symmetric pairs. I. Zbl 1066.22013
Enright, Thomas J.; Hunziker, Markus; Wallach, Nolan R.
2004
Representations of $$SL_2$$ and the distribution of points in $$\mathbb{P}^n$$. Zbl 1129.13004
Kuttler, J.; Wallach, N.
2004
Combinatorial aspects of the Baker-Akhiezer functions for $$S_2$$. Zbl 1055.05157
Garsia, A. M.; Wallach, N.
2004
A Pieri rule for Hermitian symmetric pairs. II. Zbl 1066.22014
Enright, Thomas J.; Wallach, Nolan R.
2004
Generalized Whittaker vectors for holomorphic and quaternionic representations. Zbl 1031.22006
Wallach, Nolan R.
2003
Qsym over Sym is free. Zbl 1032.05139
Garsia, A. M.; Wallach, N.
2003
Some new applications of orbit harmonics. Zbl 1091.13005
Garsia, A. M.; Wallach, N. R.
2003
Global entanglement in multiparticle systems. Zbl 1060.81506
Meyer, David A.; Wallach, Nolan R.
2002
An unentangled Gleason’s theorem. Zbl 1063.81038
Wallach, Nolan R.
2002
Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005
Meyer, David A.; Wallach, Noland
2002
On the separation property of orbits in representation spaces. Zbl 1055.20038
Kraft, Hanspeter; Wallach, Nolan R.
2002
Properties and examples of FCR-algebras. Zbl 1039.16027
Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R.
2001
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
2000
Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008
Gross, B.; Wallach, N.
2000
On some $$q$$-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009
Wallach, N. R.; Willenbring, J.
2000
Representations and invariants of the classical groups. Paperback ed. Zbl 0948.22001
Goodman, Roe; Wallach, Nolan R.
1999
Hereditary properties of direct summands of algebras. Zbl 0952.16005
Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R.
1999
Resolvent and lattice points on symmetric spaces of strictly negative curvature. Zbl 0972.11094
Bruggeman, R. W.; Miatello, R. J.; Wallach, N. R.
1999
Representations and invariants of the classical groups. Zbl 0901.22001
Goodman, Roe; Wallach, Nolan R.
1998
Embeddings of unitary highest weight representations and generalized Dirac operators. Zbl 0882.22014
Enright, Thomas J.; Wallach, Nolan R.
1997
On quaternionic discrete series representations, and their continuations. Zbl 0857.22012
Gross, Benedict H.; Wallach, Nolan R.
1996
Dimensions of spaces of generalized spherical functions. Zbl 0856.22012
Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan
1996
On a theorem of Milnor and Thom. Zbl 0876.14037
Wallach, Nolan R.
1996
On the Harish-Chandra homomorphism of invariant differential operators on a reductive Lie algebra. Zbl 0836.22013
Wallach, N. R.; Hunziker, M.
1995
A distinguished family of unitary representations for the exceptional groups of real rank $$= 4$$. Zbl 0839.22006
Gross, Benedict H.; Wallach, Nolan R.
1994
Transfer of unitary representations between real forms. Zbl 0833.22021
Wallach, Nolan R.
1994
Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004
Wallach, Nolan R.
1993
Real reductive groups II. Zbl 0785.22001
Wallach, Nolan R.
1992
The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044
Miatello, R.; Wallach, N. R.
1992
Polynomial differential operators associated with Hermitian symmetric spaces. Zbl 1226.22018
Wallach, Nolan R.
1992
On the distribution of eigenvalues of the Laplacian of a locally symmetric space. Zbl 0727.58049
Wallach, Nolan R.
1991
Intertwining operators for real reductive groups. Zbl 0729.22021
Vogan, D. A. jun.; Wallach, N. R.
1990
Kuznetsov formulas for real rank one groups. Zbl 0711.11023
Miatello, R.; Wallach, N. R.
1990
The powers of the resolvent on a locally symmetric space. Zbl 0760.22021
Wallach, Nolan R.
1990
Automorphic forms constructed from Whittaker vectors. Zbl 0692.10029
Miatello, R.; Wallach, N. R.
1989
Higher-order Sugawara operators for affine Lie algebras. Zbl 0676.17013
Goodman, Roe; Wallach, Nolan R.
1989
Real reductive groups I. Zbl 0666.22002
Wallach, Nolan R.
1988
Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016
Wallach, Nolan R.
1988
A class of non-standard modules for affine Lie algebras. Zbl 0637.17011
Wallach, Nolan R.
1987
On the irreducibility and inequivalence of unitary representations of gauge groups. Zbl 0632.22014
Wallach, Nolan R.
1987
Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems. Zbl 0616.22010
Goodman, Roe; Wallach, Nolan R.
1986
Projective unitary positive-energy representations of $$Diff(S^ 1)$$. Zbl 0636.22013
Goodman, Roe; Wallach, Nolan R.
1985
Unitary derived functor modules with small spectrum. Zbl 0568.22007
Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A.
1985
Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. Zbl 0514.22012
Goodman, Roe; Wallach, Nolan R.
1984
On the unitarizability of derived functor modules. Zbl 0547.22008
Wallach, Nolan R.
1984
On the constant term of a square integrable automorphic form. Zbl 0554.22004
Wallach, N. R.
1984
Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. Zbl 0592.58028
Goodman, Roe; Wallach, Nolan R.
1984
Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008
Rocha-Caridi, Alvany; Wallach, Nolan R.
1984
Square integrable automorphic forms and cohomology of arithmetic quotients of $$SU(p,q)$$. Zbl 0533.10025
Wallach, Nolan R.
1984
Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. Zbl 0537.22015
Goodman, Roe; Wallach, Nolan R.
1984
A classification of unitary highest weight modules. Zbl 0535.22012
Enright, Thomas; Howe, Roger; Wallach, Nolan
1983
Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005
Wallach, Nolan R.
1983
Highest weight modules over graded Lie algebras: Resolutions, filtrations and character formulas. Zbl 0512.17007
Rocha-Caridi, Alvany; Wallach, Nolan R.
1983
Characters of irreducible representations of the Lie algebra of vector fields on the circle. Zbl 0498.17010
Rocha-Caridi, Alvany; Wallach, Nolan R.
1983
Classes of unitarizable derived functor modules. Zbl 0527.22007
Enright, Thomas J.; Parthasarathy, Rajagopalan; Wallach, Nolan R.; Wolf, Joseph A.
1983
Completeness of Poincaré series for automorphic forms associated to the integrable discrete series. Zbl 0566.22014
Wallach, Nolan R.; Wolf, Joseph A.
1983
Projective modules over graded Lie algebras. I. Zbl 0467.17006
Rocha-Caridi, Alvany; Wallach, Nolan R.
1982
Classical and quantum-mechanical systems of Toda lattice type. I. Zbl 0503.22013
Goodman, Roe; Wallach, Nolan R.
1982
The restriction of admissible modules to parabolic subalgebras. Zbl 0493.17004
Stafford, J. T.; Wallach, N. R.
1982
The restriction of Whittaker modules to certain parabolic subalgebras. Zbl 0457.22009
Wallach, Nolan R.
1981
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
1980
Whittaker vectors and conical vectors. Zbl 0475.22010
Goodman, Roe; Wallach, Nolan R.
1980
Notes on homological algebra and representations of Lie algebras. Zbl 0429.17012
Enright, T. J.; Wallach, N. R.
1980
Correction and addition to Szegö kernels associated with discrete series. Zbl 0452.22016
Knapp, A. W.; Wallach, N. R.
1980
The analytic continuation of the discrete series. II. Zbl 0419.22018
Wallach, Nolan R.
1979
The analytic continuation of the discrete series. I. Zbl 0419.22017
Wallach, Nolan R.
1979
Limit formulas for multiplicities in $$L^ 2(\Gamma-G)$$. II: The tempered spectrum. Zbl 0482.43006
DeGeorge, David L.; Wallach, Nolan R.
1979
Representations of reductive Lie groups. Zbl 0421.22006
Wallach, Nolan R.
1979
...and 39 more Documents
all top 5

#### Cited by 2,478 Authors

 49 Wallach, Nolan Russell 22 Sun, Binyong 21 Ólafsson, Gestur 20 Futorny, Vyacheslav M. 18 Kobayashi, Toshiyuki 17 Ørsted, Bent 15 Howe, Roger Evans 14 Clozel, Laurent 14 Krötz, Bernhard J. 14 Neeb, Karl-Hermann 14 Schlichtkrull, Henrik 13 Delorme, Patrick 13 Kim, Sangjib 13 Schwermer, Joachim 13 Speh, Birgit 13 Zhu, Chen-Bo 12 Knapp, Anthony William 12 Sahi, Siddhartha 12 Ziller, Wolfgang 11 Deitmar, Anton 11 Harris, Michael Howard 11 Huang, Jing-Song 11 Lee, Soo Teck 11 Li, Jian-Shu 11 Zhang, Genkai 10 Kazhdan, David A. 10 Oda, Takayuki 10 Petronilho, Gerson 10 Przebinda, Tomasz 10 Stroppel, Catharina H. 10 Willenbring, Jeb F. 10 Wolf, Joseph Albert 10 Zhang, Ruibin 9 Alesker, Semyon 9 Baldoni-Silva, Maria Welleda 9 Dooley, Anthony Haynes 9 Farber, Michael S. 9 Kahle, Matthew 9 Miatello, Roberto Jorge 9 Millson, John J. 9 Nikonorov, Yurii Gennadyevich 9 Ramirez, Luis Enrique 9 Sarnak, Peter Clive 9 Savin, Gordan 9 Toth, Gabor 9 Vargas, Jorge Antonio 9 Williams, Floyd L. 8 Barbasch, Dan M. 8 Bergamasco, Adalberto Panobianco 8 Collingwood, David H. 8 Costa, Armindo 8 Deng, Shaoqiang 8 Feĭgin, Boris L’vovich 8 Gourevitch, Dmitry 8 Grove, Karsten 8 Jantzen, Chris 8 Joseph, Anthony 8 Kirilov, Alexandre 8 Loke, Hung Yean 8 Lubotzky, Alexander 8 Matumoto, Hisayosi 8 Muić, Goran 8 Rodionov, Evgeniĭ Dmitrievich 8 Schmid, Wilfried 8 Tadić, Marko 8 Vogan, David Alexander jun. 8 Xu, Ming 8 Xu, Xiaowei 7 Bekka, Mohammed el Bachir 7 Carpi, Sebastiano 7 Cowling, Michael G. 7 Dobrev, Vladimir K. 7 Draisma, Jan 7 Enright, Thomas J. 7 Goodman, Roe W. 7 Günaydin, Murat 7 Himonas, A. Alexandrou 7 Ishii, Taku 7 Jakobsen, Hans Plesner 7 Kostant, Bertram 7 Lapid, Erez Moshe 7 Mazorchuk, Volodymyr 7 Narita, Hiro-aki 7 Schrijver, Alexander 7 Sergeev, Armen Glebovich 7 Tan, Eng-Chye 7 Tsuzuki, Masao 7 Van den Ban, Erik Peter 7 Zierau, Roger 6 Adams, Jeffrey David 6 Aizenbud, Avraham 6 Arakawa, Tomoyuki 6 Bergeron, Nicolas 6 Cahen, Michel 6 Catino, Giovanni 6 Davidson, Mark Gregory 6 Đoković, Dragomir Ž. 6 Domokos, Mátyás 6 Escher, Christine M. 6 Grobner, Harald ...and 2,378 more Authors
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#### Cited in 286 Serials

 164 Journal of Functional Analysis 114 Journal of Algebra 109 Transactions of the American Mathematical Society 102 Advances in Mathematics 95 Duke Mathematical Journal 89 Inventiones Mathematicae 74 Communications in Mathematical Physics 68 Mathematische Zeitschrift 60 Mathematische Annalen 57 Proceedings of the American Mathematical Society 53 Journal of Mathematical Physics 53 Compositio Mathematica 48 Representation Theory 47 Journal of Geometry and Physics 35 Israel Journal of Mathematics 34 Differential Geometry and its Applications 29 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 29 Manuscripta Mathematica 28 Annals of Global Analysis and Geometry 28 Transformation Groups 27 Annales de l’Institut Fourier 27 Proceedings of the Japan Academy. Series A 26 The Journal of Geometric Analysis 24 Quantum Information Processing 23 Journal of Pure and Applied Algebra 22 Journal of Number Theory 21 Journal of the American Mathematical Society 20 Communications in Algebra 20 Geometriae Dedicata 20 Comptes Rendus. Mathématique. Académie des Sciences, Paris 19 Nuclear Physics. B 19 Linear Algebra and its Applications 19 Bulletin of the American Mathematical Society. New Series 19 Journal of High Energy Physics 18 Journal of Mathematical Analysis and Applications 18 Letters in Mathematical Physics 17 Journal für die Reine und Angewandte Mathematik 17 Selecta Mathematica. New Series 16 Acta Mathematica 16 Tohoku Mathematical Journal. Second Series 15 International Journal of Theoretical Physics 15 Algebras and Representation Theory 14 Functional Analysis and its Applications 14 International Journal of Mathematics 14 Geometric and Functional Analysis. GAFA 13 Journal d’Analyse Mathématique 13 Journal of Combinatorial Theory. Series A 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 Discrete & Computational Geometry 13 Journal of Algebraic Combinatorics 13 Annals of Mathematics. Second Series 13 Bulletin of the American Mathematical Society 12 Bulletin de la Société Mathématique de France 12 Journal of the Institute of Mathematics of Jussieu 11 Kodai Mathematical Journal 11 Siberian Mathematical Journal 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 International Journal of Quantum Information 9 Linear and Multilinear Algebra 9 Archiv der Mathematik 9 Journal of Soviet Mathematics 9 Memoirs of the American Mathematical Society 9 Monatshefte für Mathematik 9 Journal of Physics A: Mathematical and Theoretical 9 Science China. Mathematics 8 Discrete Mathematics 8 Publications Mathématiques 8 Journal of Differential Equations 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Indagationes Mathematicae. New Series 8 Journal of Mathematical Sciences (New York) 8 Geometry & Topology 8 Journal of the European Mathematical Society (JEMS) 7 Reviews in Mathematical Physics 7 Forum Mathematicum 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 The Journal of Fourier Analysis and Applications 7 Acta Mathematica Sinica. English Series 6 Journal of the Mathematical Society of Japan 6 Calculus of Variations and Partial Differential Equations 6 Journal of Lie Theory 6 New Journal of Physics 6 Communications in Contemporary Mathematics 6 Japanese Journal of Mathematics. 3rd Series 6 Physical Review A, Third Series 5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 5 Michigan Mathematical Journal 5 Nagoya Mathematical Journal 5 Rendiconti del Seminario Matematico della Università di Padova 5 European Journal of Combinatorics 5 Advances in Applied Mathematics 5 Chinese Annals of Mathematics. Series B 5 Acta Applicandae Mathematicae 5 Random Structures & Algorithms 5 Mémoires de la Société Mathématique de France. Nouvelle Série 5 Experimental Mathematics 5 Advances in Applied Clifford Algebras 5 Bulletin des Sciences Mathématiques 5 Central European Journal of Mathematics 5 International Journal of Geometric Methods in Modern Physics ...and 186 more Serials
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#### Cited in 56 Fields

 989 Topological groups, Lie groups (22-XX) 506 Differential geometry (53-XX) 441 Nonassociative rings and algebras (17-XX) 430 Number theory (11-XX) 302 Quantum theory (81-XX) 275 Group theory and generalizations (20-XX) 223 Global analysis, analysis on manifolds (58-XX) 214 Abstract harmonic analysis (43-XX) 210 Algebraic geometry (14-XX) 180 Combinatorics (05-XX) 128 Manifolds and cell complexes (57-XX) 114 Partial differential equations (35-XX) 110 Several complex variables and analytic spaces (32-XX) 87 Functional analysis (46-XX) 83 Associative rings and algebras (16-XX) 80 Dynamical systems and ergodic theory (37-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 65 Special functions (33-XX) 61 Algebraic topology (55-XX) 55 Probability theory and stochastic processes (60-XX) 50 Commutative algebra (13-XX) 42 Statistical mechanics, structure of matter (82-XX) 40 Relativity and gravitational theory (83-XX) 39 Operator theory (47-XX) 25 Functions of a complex variable (30-XX) 25 Convex and discrete geometry (52-XX) 25 Computer science (68-XX) 24 Category theory; homological algebra (18-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Mechanics of particles and systems (70-XX) 17 Information and communication theory, circuits (94-XX) 13 Geometry (51-XX) 11 $$K$$-theory (19-XX) 11 Ordinary differential equations (34-XX) 11 Integral transforms, operational calculus (44-XX) 7 Measure and integration (28-XX) 7 Potential theory (31-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Statistics (62-XX) 7 Numerical analysis (65-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 General topology (54-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Real functions (26-XX) 4 Difference and functional equations (39-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX)

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