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Wallach, Nolan Russell

Author ID: wallach.nolan-r Recent zbMATH articles by "Wallach, Nolan Russell"
Published as: Wallach, Nolan R.; Wallach, Nolan; Wallach, N. R.; Wallach, N.; Wallach, Noland R.; Wallach, Nolan B.; Wallach, Noland
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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 Combinatorial Theory. Series A
4 Journal of Differential Geometry
4 Journal of Functional Analysis
4 Annals of Mathematics. Second Series
3 Communications in Mathematical Physics
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Pacific Journal of Mathematics
3 Representation Theory
2 Acta Mathematica
2 American Journal of Mathematics
2 Canadian Journal of Mathematics
2 Advances in Applied Mathematics
2 International Journal of 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 The Asian Journal of Mathematics
2 Encyclopedia of Mathematics and Its Applications
2 Pure and Applied Mathematics (Academic Press)
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 Reprints from the Bulletin of the American Mathematical Society
1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore
1 Japanese Journal of Mathematics. 3rd Series
1 Anais da Academia Brasileira de Ciências
1 Universitext
1 Dover Books on Mathematics
1 Combinatorial Theory

Publications by Year

Citations contained in zbMATH Open

151 Publications have been cited 4,195 times in 3,242 Documents Cited by Year
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
328
1980
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.
302
2009
Representations and invariants of the classical groups. Zbl 0901.22001
Goodman, Roe; Wallach, Nolan R.
265
1998
Real reductive groups I. Zbl 0666.22002
Wallach, Nolan R.
251
1988
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
211
2000
Harmonic analysis on homogeneous spaces. Zbl 0265.22022
Wallach, Nolan R.
200
1973
Real reductive groups II. Zbl 0785.22001
Wallach, Nolan R.
180
1992
A classification of unitary highest weight modules. Zbl 0535.22012
Enright, Thomas; Howe, Roger; Wallach, Nolan
125
1983
Compact homogeneous Riemannian manifolds with strictly positive curvature. Zbl 0261.53033
Wallach, Nolan R.
116
1972
An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures. Zbl 0362.53033
Aloff, Simon; Wallach, Nolan R.
111
1975
Global entanglement in multiparticle systems. Zbl 1060.81506
Meyer, David A.; Wallach, Nolan R.
91
2002
Homological connectivity of random \(k\)-dimensional complexes. Zbl 1177.55011
Meshulam, R.; Wallach, N.
86
2009
Minimal immersions of spheres into spheres. Zbl 0218.53069
do Carmo, Manfredo Perdigão; Wallach, N. R.
67
1971
Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\). Zbl 0397.22007
DeGeorge, David L.; Wallach, Nolan R.
65
1978
On a classification of gradient shrinking solitons. Zbl 1158.53052
Ni, Lei; Wallach, Nolan
65
2008
Lorentzian symmetric spaces. Zbl 0194.53202
Cahen, Michel; Wallach, N.
61
1970
Composition series and intertwining operators for the spherical principal series. I. Zbl 0349.43010
Johnson, Kenneth D.; Wallach, Nolan R.
61
1977
Global hypoellipticity and Liouville numbers. Zbl 0229.35023
Greenfield, Stephen J.; Wallach, Nolan R.
60
1972
Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. Zbl 0514.22012
Goodman, Roe; Wallach, Nolan R.
51
1984
The analytic continuation of the discrete series. II. Zbl 0419.22018
Wallach, Nolan R.
50
1979
Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005
Wallach, Nolan R.
49
1983
On quaternionic discrete series representations, and their continuations. Zbl 0857.22012
Gross, Benedict H.; Wallach, Nolan R.
46
1996
Projective modules over graded Lie algebras. I. Zbl 0467.17006
Rocha-Caridi, Alvany; Wallach, Nolan R.
46
1982
Projective unitary positive-energy representations of \(\operatorname{Diff}(S^1)\). Zbl 0636.22013
Goodman, Roe; Wallach, Nolan R.
46
1985
The analytic continuation of the discrete series. I. Zbl 0419.22017
Wallach, Nolan R.
45
1979
On the Selberg trace formula in the case of compact quotient. Zbl 0351.22008
Wallach, Nolan R.
41
1976
All maximally entangled four-qubit states. Zbl 1314.81037
Gour, Gilad; Wallach, Nolan R.
37
2010
Whittaker vectors and conical vectors. Zbl 0475.22010
Goodman, Roe; Wallach, Nolan R.
36
1980
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
36
2006
On the constant term of a square integrable automorphic form. Zbl 0554.22004
Wallach, N. R.
34
1984
Notes on homological algebra and representations of Lie algebras. Zbl 0429.17012
Enright, T. J.; Wallach, N. R.
33
1980
Minimal immersions of symmetric spaces into spheres. Zbl 0232.53027
Wallach, Nolan R.
31
1972
On the unitarizability of derived functor modules. Zbl 0547.22008
Wallach, Nolan R.
27
1984
A distinguished family of unitary representations for the exceptional groups of real rank \(= 4\). Zbl 0839.22006
Gross, Benedict H.; Wallach, Nolan R.
27
1994
Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. Zbl 0592.58028
Goodman, Roe; Wallach, Nolan R.
25
1984
Szegoe kernels associated with discrete series. Zbl 0332.22015
Knapp, A. W.; Wallach, N. R.
25
1976
Symplectic geometry and Fourier analysis. With an appendix on quantum mechanics by Robert Hermann. Zbl 0379.53010
Wallach, Nolan R.
25
1977
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
25
2006
Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004
Wallach, Nolan R.
24
1993
Globally hypoelliptic vector fields. Zbl 0268.58007
Greenfield, Stephen J.; Wallach, Nolan R.
22
1973
Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016
Wallach, Nolan R.
22
1988
Highest weight modules over graded Lie algebras: Resolutions, filtrations and character formulas. Zbl 0512.17007
Rocha-Caridi, Alvany; Wallach, Nolan R.
21
1983
Intertwining operators for real reductive groups. Zbl 0729.22021
Vogan, D. A. jun.; Wallach, N. R.
21
1990
Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum. Zbl 0482.43006
DeGeorge, David L.; Wallach, Nolan R.
20
1979
Cyclic vectors and irreducibility for principal series representations. Zbl 0227.22016
Wallach, Nolan R.
19
1971
Classical and quantum-mechanical systems of Toda lattice type. I. Zbl 0503.22013
Goodman, Roe; Wallach, Nolan R.
18
1982
Remarks on global hypoellipticity. Zbl 0274.35018
Greenfield, Stephen J.; Wallach, Nolan R.
17
1973
Composition series and intertwining operators for the spherical principal series. Zbl 0257.22016
Johnson, Kenneth; Wallach, Nolan R.
16
1972
On the Enright-Varadarajan modules: A construction of the discrete series. Zbl 0379.22008
Wallach, Nolan R.
16
1976
Characters of irreducible representations of the Lie algebra of vector fields on the circle. Zbl 0498.17010
Rocha-Caridi, Alvany; Wallach, Nolan R.
16
1983
Generalized Whittaker vectors for holomorphic and quaternionic representations. Zbl 1031.22006
Wallach, Nolan R.
15
2003
Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301
do Carmo, Manfredo Perdigão; Wallach, Nolan R.
15
1970
Unitary derived functor modules with small spectrum. Zbl 0568.22007
Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A.
15
1985
Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016
Baur, Karin; Wallach, Nolan
15
2005
Finite- and infinite-dimensional representations of linear semisimple groups. Zbl 0279.17001
Lepowsky, James; Wallach, Nolan R.
15
1974
Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008
Gross, B.; Wallach, N.
14
2000
On the nullcone of representations of reductive groups. Zbl 1124.20030
Kraft, Hanspeter; Wallach, Nolan R.
13
2006
Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems. Zbl 0616.22010
Goodman, Roe; Wallach, Nolan R.
12
1986
Automorphism groups of bounded domains in Banach spaces. Zbl 0254.32026
Greenfield, Stephen J.; Wallach, Nolan R.
12
1972
The Hilbert series of measures of entanglement for 4 qubits. Zbl 1097.81023
Wallach, Nolan R.
12
2005
Kuznetsov formulas for real rank one groups. Zbl 0711.11023
Miatello, R.; Wallach, N. R.
12
1990
Automorphic forms constructed from Whittaker vectors. Zbl 0692.10029
Miatello, R.; Wallach, N. R.
12
1989
On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044
Gross, Benedict H.; Wallach, Nolan R.
12
2011
On Harish-Chandra’s generalized C-functions. Zbl 0312.22010
Wallach, Nolan R.
11
1975
The fundamental series of representations of a real semisimple Lie algebra. Zbl 0383.22011
Enright, Thomas J.; Wallach, Nolan R.
11
1978
On four-dimensional gradient shrinking solitons. Zbl 1146.53039
Ni, Lei; Wallach, Nolan
11
2008
The restriction of admissible modules to parabolic subalgebras. Zbl 0493.17004
Stafford, J. T.; Wallach, N. R.
11
1982
The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044
Miatello, R.; Wallach, N. R.
10
1992
On maximal subsystems of root systems. Zbl 0235.17007
Wallach, Nolan R.
10
1968
Induced representations of Lie algebras and a theorem of Borel-Weil. Zbl 0294.17005
Wallach, Nolan R.
10
1969
Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269
Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike
10
2012
Geometric invariant theory. Over the real and complex numbers. Zbl 1387.14124
Wallach, Nolan R.
10
2017
Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008
Rocha-Caridi, Alvany; Wallach, Nolan R.
9
1984
Representations of reductive Lie groups. Zbl 0421.22006
Wallach, Nolan R.
9
1979
Induced representations of Lie algebras. II. Zbl 0294.17006
Wallach, Nolan R.
9
1969
Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002
Wallach, Nolan R.
9
2006
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
9
2009
An unentangled Gleason’s theorem. Zbl 1063.81038
Wallach, Nolan R.
8
2002
Extension of locally defined minimal immersions into spheres. Zbl 0193.22001
Wallach, Nolan B.
8
1970
On some \(q\)-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009
Wallach, N. R.; Willenbring, J.
8
2000
Correction and addition to Szegö kernels associated with discrete series. Zbl 0452.22016
Knapp, A. W.; Wallach, N. R.
8
1980
An asymptotic formula of Gelfand and Gangolli for the spectrum of \(\Gamma\setminus G\). Zbl 0341.43009
Wallach, Nolan R.
8
1976
Polynomial differential operators associated with Hermitian symmetric spaces. Zbl 1226.22018
Wallach, Nolan R.
8
1992
Harmonic differential forms for pseudo-reflection groups. I: Semi-invariants. Zbl 1511.20143
Swanson, Joshua P.; Wallach, Nolan R.
8
2021
Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005
Meyer, David A.; Wallach, Noland
7
2002
Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009
Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce
7
2009
Curvature forms for 2-manifolds. Zbl 0197.47901
Wallach, N. R.; Warner, F. W.
7
1970
Representations and invariants of the classical groups. Paperback ed. Zbl 0948.22001
Goodman, Roe; Wallach, Nolan R.
7
1999
On Matsushima’s formula for the Betti numbers of a locally symmetric space. Zbl 0327.53032
Hotta, Ryoshi; Wallach, Nolan R.
7
1975
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
6
2017
Dimensions of spaces of generalized spherical functions. Zbl 0856.22012
Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan
6
1996
Quantum computing and entanglement for mathematicians. Zbl 1139.81332
Wallach, Nolan R.
6
2008
Qsym over Sym is free. Zbl 1032.05139
Garsia, A. M.; Wallach, N.
6
2003
Higher-order Sugawara operators for affine Lie algebras. Zbl 0676.17013
Goodman, Roe; Wallach, Nolan R.
6
1989
Properties and examples of FCR-algebras. Zbl 1039.16027
Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R.
5
2001
Square integrable automorphic forms and cohomology of arithmetic quotients of \(SU(p,q)\). Zbl 0533.10025
Wallach, Nolan R.
5
1984
Transfer of unitary representations between real forms. Zbl 0833.22021
Wallach, Nolan R.
5
1994
Embeddings of unitary highest weight representations and generalized Dirac operators. Zbl 0882.22014
Enright, Thomas J.; Wallach, Nolan R.
5
1997
On the unitarizability of representations with highest weights. Zbl 0311.22008
Wallach, Nolan R.
5
1975
Bessel models for general admissible induced representations: the compact stabilizer case. Zbl 1239.22002
Gomez, Raul; Wallach, Nolan
5
2012
The dependence on parameters of the inverse functor to the \(K\)-finite functor. Zbl 1518.22027
Wallach, Nolan R.
1
2022
Harmonic differential forms for pseudo-reflection groups. I: Semi-invariants. Zbl 1511.20143
Swanson, Joshua P.; Wallach, Nolan R.
8
2021
Pfaffians of Toeplitz payoff matrices. Zbl 1418.15007
Evans, Ron; Wallach, Nolan
2
2019
Harmonic analysis on homogeneous spaces. 2nd edition, revised and updated republication of the 1973 original published by Marcel Dekker. Zbl 1406.22001
Wallach, Nolan R.
4
2018
Geometric invariant theory. Over the real and complex numbers. Zbl 1387.14124
Wallach, Nolan R.
10
2017
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
6
2017
Almost all multipartite qubit quantum states have trivial stabilizer. Zbl 1372.81020
Gour, Gilad; Kraus, Barbara; Wallach, Nolan R.
1
2017
An analogue of the Kostant-Rallis multiplicity theorem for \(\theta\)-group harmonics. Zbl 1412.22030
Wallach, Nolan R.
1
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.
4
2015
On the Gelfand-Kirillov dimension of a discrete series representation. Zbl 1341.22005
Wallach, Nolan R.
1
2015
On symmetric SL-invariant polynomials in four qubits. Zbl 1314.81036
Gour, Gilad; Wallach, Nolan R.
4
2014
Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation. Zbl 1327.78003
Kostant, Bertram; Wallach, Nolan R.
2
2014
Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269
Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike
10
2012
Bessel models for general admissible induced representations: the compact stabilizer case. Zbl 1239.22002
Gomez, Raul; Wallach, Nolan
5
2012
On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044
Gross, Benedict H.; Wallach, Nolan R.
12
2011
Necessary and sufficient conditions for local manipulation of multipartite pure quantum states. Zbl 1448.81192
Gour, Gilad; Wallach, Nolan R.
3
2011
On the algebraic set of singular elements in a complex simple Lie algebra. Zbl 1235.22009
Kostant, Bertram; Wallach, Nolan
1
2011
All maximally entangled four-qubit states. Zbl 1314.81037
Gour, Gilad; Wallach, Nolan R.
37
2010
Polarizations and nullcone of representations of reductive groups. Zbl 1223.20040
Kraft, Hanspeter; Wallach, Nolan R.
4
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.
302
2009
Homological connectivity of random \(k\)-dimensional complexes. Zbl 1177.55011
Meshulam, R.; Wallach, N.
86
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
9
2009
Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009
Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce
7
2009
Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials. Zbl 1228.05289
Garsia, A.; Wallach, N.; Xin, G.; Zabrocki, M.
3
2009
On a theorem of Ranee Brylinski. Zbl 1267.17006
Kostant, Bertram; Wallach, Nolan
1
2009
On a classification of gradient shrinking solitons. Zbl 1158.53052
Ni, Lei; Wallach, Nolan
65
2008
On four-dimensional gradient shrinking solitons. Zbl 1146.53039
Ni, Lei; Wallach, Nolan
11
2008
Quantum computing and entanglement for mathematicians. Zbl 1139.81332
Wallach, Nolan R.
6
2008
Pfaffians and strategies for integer choice games. Zbl 1390.91013
Evans, Ron; Wallach, Nolan
3
2007
\(r\)-Qsym is free over Sym. Zbl 1115.05094
Garsia, A. M.; Wallach, N.
2
2007
A class of gradings of simple Lie algebras. Zbl 1232.17017
Baur, Karin; Wallach, Nolan
1
2007
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
36
2006
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
25
2006
On the nullcone of representations of reductive groups. Zbl 1124.20030
Kraft, Hanspeter; Wallach, Nolan R.
13
2006
Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002
Wallach, Nolan R.
9
2006
A combinatorial problem associated with nonograms. Zbl 1076.05015
Benton, Jessica; Snow, Rion; Wallach, Nolan
4
2006
The non-degeneracy of the bilinear form of \(m\)-quasi-invariants. Zbl 1171.20313
Garsia, A. M.; Wallach, N.
3
2006
Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016
Baur, Karin; Wallach, Nolan
15
2005
The Hilbert series of measures of entanglement for 4 qubits. Zbl 1097.81023
Wallach, Nolan R.
12
2005
Transfer of unitary representations. Zbl 1071.22016
Wallach, Nolan R.; Zhu, Chen-Bo
4
2004
Combinatorial aspects of the Baker-Akhiezer functions for \(S_2\). Zbl 1055.05157
Garsia, A. M.; Wallach, N.
2
2004
Representations of \(SL_2\) and the distribution of points in \(\mathbb{P}^n\). Zbl 1129.13004
Kuttler, J.; Wallach, N.
2
2004
A Pieri rule for Hermitian symmetric pairs. I. Zbl 1066.22013
Enright, Thomas J.; Hunziker, Markus; Wallach, Nolan R.
2
2004
A Pieri rule for Hermitian symmetric pairs. II. Zbl 1066.22014
Enright, Thomas J.; Wallach, Nolan R.
1
2004
Generalized Whittaker vectors for holomorphic and quaternionic representations. Zbl 1031.22006
Wallach, Nolan R.
15
2003
Qsym over Sym is free. Zbl 1032.05139
Garsia, A. M.; Wallach, N.
6
2003
Some new applications of orbit harmonics. Zbl 1091.13005
Garsia, A. M.; Wallach, N. R.
2
2003
Global entanglement in multiparticle systems. Zbl 1060.81506
Meyer, David A.; Wallach, Nolan R.
91
2002
An unentangled Gleason’s theorem. Zbl 1063.81038
Wallach, Nolan R.
8
2002
Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005
Meyer, David A.; Wallach, Noland
7
2002
On the separation property of orbits in representation spaces. Zbl 1055.20038
Kraft, Hanspeter; Wallach, Nolan R.
1
2002
Properties and examples of FCR-algebras. Zbl 1039.16027
Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R.
5
2001
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
211
2000
Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008
Gross, B.; Wallach, N.
14
2000
On some \(q\)-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009
Wallach, N. R.; Willenbring, J.
8
2000
Representations and invariants of the classical groups. Paperback ed. Zbl 0948.22001
Goodman, Roe; Wallach, Nolan R.
7
1999
Resolvent and lattice points on symmetric spaces of strictly negative curvature. Zbl 0972.11094
Bruggeman, R. W.; Miatello, R. J.; Wallach, N. R.
4
1999
Hereditary properties of direct summands of algebras. Zbl 0952.16005
Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R.
4
1999
A variety of solutions to the Yang-Baxter equation. Zbl 0916.57007
Wallach, Nolan R.
1
1999
Representations and invariants of the classical groups. Zbl 0901.22001
Goodman, Roe; Wallach, Nolan R.
265
1998
Embeddings of unitary highest weight representations and generalized Dirac operators. Zbl 0882.22014
Enright, Thomas J.; Wallach, Nolan R.
5
1997
On quaternionic discrete series representations, and their continuations. Zbl 0857.22012
Gross, Benedict H.; Wallach, Nolan R.
46
1996
Dimensions of spaces of generalized spherical functions. Zbl 0856.22012
Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan
6
1996
On a theorem of Milnor and Thom. Zbl 0876.14037
Wallach, Nolan R.
2
1996
On the Harish-Chandra homomorphism of invariant differential operators on a reductive Lie algebra. Zbl 0836.22013
Wallach, N. R.; Hunziker, M.
1
1995
A distinguished family of unitary representations for the exceptional groups of real rank \(= 4\). Zbl 0839.22006
Gross, Benedict H.; Wallach, Nolan R.
27
1994
Transfer of unitary representations between real forms. Zbl 0833.22021
Wallach, Nolan R.
5
1994
\(C^ \infty\) vectors. Zbl 0856.22010
Wallach, N. R.
2
1994
Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004
Wallach, Nolan R.
24
1993
Real reductive groups II. Zbl 0785.22001
Wallach, Nolan R.
180
1992
The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044
Miatello, R.; Wallach, N. R.
10
1992
Polynomial differential operators associated with Hermitian symmetric spaces. Zbl 1226.22018
Wallach, Nolan R.
8
1992
On the distribution of eigenvalues of the Laplacian of a locally symmetric space. Zbl 0727.58049
Wallach, Nolan R.
1
1991
Intertwining operators for real reductive groups. Zbl 0729.22021
Vogan, D. A. jun.; Wallach, N. R.
21
1990
Kuznetsov formulas for real rank one groups. Zbl 0711.11023
Miatello, R.; Wallach, N. R.
12
1990
The powers of the resolvent on a locally symmetric space. Zbl 0760.22021
Wallach, Nolan R.
4
1990
Limit multiplicities in \(L^ 2(\Gamma{} \setminus G)\). Zbl 0749.22006
Wallach, Nolan R.
1
1990
Automorphic forms constructed from Whittaker vectors. Zbl 0692.10029
Miatello, R.; Wallach, N. R.
12
1989
Higher-order Sugawara operators for affine Lie algebras. Zbl 0676.17013
Goodman, Roe; Wallach, Nolan R.
6
1989
Real reductive groups I. Zbl 0666.22002
Wallach, Nolan R.
251
1988
Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016
Wallach, Nolan R.
22
1988
On the irreducibility and inequivalence of unitary representations of gauge groups. Zbl 0632.22014
Wallach, Nolan R.
4
1987
A class of non-standard modules for affine Lie algebras. Zbl 0637.17011
Wallach, Nolan R.
3
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.
12
1986
Projective unitary positive-energy representations of \(\operatorname{Diff}(S^1)\). Zbl 0636.22013
Goodman, Roe; Wallach, Nolan R.
46
1985
Unitary derived functor modules with small spectrum. Zbl 0568.22007
Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A.
15
1985
Classical invariant theory and the Virasoro algebra. Zbl 0557.17006
Wallach, Nolan R.
1
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.
51
1984
On the constant term of a square integrable automorphic form. Zbl 0554.22004
Wallach, N. R.
34
1984
On the unitarizability of derived functor modules. Zbl 0547.22008
Wallach, Nolan R.
27
1984
Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. Zbl 0592.58028
Goodman, Roe; Wallach, Nolan R.
25
1984
Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008
Rocha-Caridi, Alvany; Wallach, Nolan R.
9
1984
Square integrable automorphic forms and cohomology of arithmetic quotients of \(SU(p,q)\). Zbl 0533.10025
Wallach, Nolan R.
5
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.
3
1984
A classification of unitary highest weight modules. Zbl 0535.22012
Enright, Thomas; Howe, Roger; Wallach, Nolan
125
1983
Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005
Wallach, Nolan R.
49
1983
Highest weight modules over graded Lie algebras: Resolutions, filtrations and character formulas. Zbl 0512.17007
Rocha-Caridi, Alvany; Wallach, Nolan R.
21
1983
Characters of irreducible representations of the Lie algebra of vector fields on the circle. Zbl 0498.17010
Rocha-Caridi, Alvany; Wallach, Nolan R.
16
1983
Classes of unitarizable derived functor modules. Zbl 0527.22007
Enright, Thomas J.; Parthasarathy, Rajagopalan; Wallach, Nolan R.; Wolf, Joseph A.
4
1983
Completeness of Poincaré series for automorphic forms associated to the integrable discrete series. Zbl 0566.22014
Wallach, Nolan R.; Wolf, Joseph A.
4
1983
...and 51 more Documents
all top 5

Cited by 3,080 Authors

55 Wallach, Nolan Russell
27 Kobayashi, Toshiyuki
26 Sun, Binyong
25 Ólafsson, Gestur
22 Futorny, Vyacheslav M.
19 Ørsted, Bent
16 Howe, Roger Evans
16 Neeb, Karl-Hermann
16 Zhang, Genkai
15 Clozel, Laurent
15 Krötz, Bernhard J.
15 Schlichtkrull, Henrik
15 Schwermer, Joachim
14 Delorme, Patrick
14 Kim, Sangjib
14 Sahi, Siddhartha
14 Speh, Birgit
14 Zhu, Chen-Bo
13 Farber, Michael S.
13 Huang, Jing-Song
13 Lee, Soo Teck
13 Willenbring, Jeb F.
12 Deitmar, Anton
12 Frahm, Jan
12 Harris, Michael Howard
12 Knapp, Anthony William
12 Lauret, Emilio A.
12 Przebinda, Tomasz
12 Ziller, Wolfgang
11 Barbasch, Dan M.
11 Dong, Chao-Ping
11 Gourevitch, Dmitry
11 Kazhdan, David
11 Li, Jian-Shu
11 Miatello, Roberto Jorge
11 Petronilho, Gerson
11 Rodionov, Evgeniĭ Dmitrievich
11 Savin, Gordan
11 Wolf, Joseph Albert
11 Zhang, Ruibin
10 Alesker, Semyon
10 Harris, Pamela E.
10 Kahle, Matthew
10 Kirilov, Alexandre
10 Oda, Takayuki
10 Pandžić, Pavle
10 Ramirez, Luis Enrique
10 Ruzhansky, Michael V.
10 Stroppel, Catharina H.
10 Toth, Gabor
10 Vargas, Jorge Antonio
10 Xu, Ming
9 Baldoni-Silva, Maria Welleda
9 Cahen, Benjamin
9 Collingwood, David H.
9 Dooley, Anthony Haynes
9 Feĭgin, Boris L’vovich
9 Jantzen, Chris
9 Lubotzky, Alexander
9 Millson, John J.
9 Nikonorov, Yurii Gennadyevich
9 Sarnak, Peter Clive
9 Schmid, Wilfried
9 Tadić, Marko
9 Tsuzuki, Masao
9 Williams, Floyd L.
9 Xu, Xiaowei
8 Aizenbud, Avraham
8 Bergamasco, Adalberto Panobianco
8 Carpi, Sebastiano
8 Ciubotaru, Dan
8 Costa, Armindo
8 Cowling, Michael G.
8 de Ávila Silva, Fernando
8 Deng, Shaoqiang
8 Dobrev, Vladimir K.
8 Grove, Karsten
8 Ishii, Taku
8 Jakobsen, Hans Plesner
8 Joseph, Anthony
8 Lapid, Erez Moshe
8 Loke, Hung Yean
8 Matumoto, Hisayosi
8 Mazorchuk, Volodymyr
8 Muić, Goran
8 Quiroga-Barranco, Raul
8 Sayag, Eitan
8 Sergeev, Armen Glebovich
8 Vogan, David Alexander jun.
8 Zierau, Roger
7 Arakawa, Tomoyuki
7 Bekka, Mohammed el Bachir
7 Bergeron, Nicolas
7 Calegari, Frank
7 DeVito, Jason
7 Draisma, Jan
7 Eelbode, David
7 Enright, Thomas J.
7 Goodman, Roe W.
7 Grobner, Harald
...and 2,980 more Authors
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Cited in 346 Serials

178 Journal of Functional Analysis
134 Journal of Algebra
119 Advances in Mathematics
111 Transactions of the American Mathematical Society
101 Duke Mathematical Journal
96 Inventiones Mathematicae
86 Communications in Mathematical Physics
83 Mathematische Zeitschrift
67 Mathematische Annalen
61 Proceedings of the American Mathematical Society
58 Journal of Mathematical Physics
57 Representation Theory
56 Compositio Mathematica
48 Journal of Geometry and Physics
41 Israel Journal of Mathematics
40 Transformation Groups
37 The Journal of Geometric Analysis
36 Annals of Global Analysis and Geometry
35 Manuscripta Mathematica
35 Differential Geometry and its Applications
35 Quantum Information Processing
32 Journal of Lie Theory
31 Journal of Number Theory
30 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
29 Annales de l’Institut Fourier
28 Proceedings of the Japan Academy. Series A
26 Journal für die Reine und Angewandte Mathematik
25 Journal of Pure and Applied Algebra
24 Communications in Algebra
24 Journal of the American Mathematical Society
22 Geometriae Dedicata
22 Journal of High Energy Physics
21 Letters in Mathematical Physics
21 Linear Algebra and its Applications
21 Comptes Rendus. Mathématique. Académie des Sciences, Paris
20 Selecta Mathematica. New Series
19 Bulletin of the American Mathematical Society. New Series
19 Algebras and Representation Theory
18 Journal of Mathematical Analysis and Applications
18 Annali di Matematica Pura ed Applicata. Serie Quarta
18 International Journal of Mathematics
18 Journal of the Institute of Mathematics of Jussieu
18 Journal of Physics A: Mathematical and Theoretical
17 International Journal of Theoretical Physics
16 Journal d’Analyse Mathématique
16 Nuclear Physics. B
16 Acta Mathematica
16 Bulletin de la Société Mathématique de France
16 Tôhoku Mathematical Journal. Second Series
16 Geometric and Functional Analysis. GAFA
16 Journal of Algebraic Combinatorics
15 Journal of Combinatorial Theory. Series A
15 Publications of the Research Institute for Mathematical Sciences, Kyoto University
15 Discrete & Computational Geometry
15 Annals of Mathematics. Second Series
15 International Journal of Quantum Information
14 Functional Analysis and its Applications
14 Acta Mathematica Sinica. English Series
13 Memoirs of the American Mathematical Society
13 Bulletin of the American Mathematical Society
12 Kodai Mathematical Journal
12 Forum Mathematicum
11 Archiv der Mathematik
11 Pacific Journal of Mathematics
11 Siberian Mathematical Journal
11 Indagationes Mathematicae. New Series
11 Science China. Mathematics
11 Forum of Mathematics, Sigma
10 Linear and Multilinear Algebra
10 Reports on Mathematical Physics
10 Publications Mathématiques
10 Monatshefte für Mathematik
10 Random Structures & Algorithms
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Calculus of Variations and Partial Differential Equations
10 The Journal of Fourier Analysis and Applications
10 Journal of the European Mathematical Society (JEMS)
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Classical and Quantum Gravity
9 Discrete Mathematics
9 Physics Letters. A
9 Journal of Differential Equations
9 Journal of Soviet Mathematics
9 Journal of Mathematical Sciences (New York)
9 Advances in Applied Clifford Algebras
9 Geometry & Topology
9 Communications in Contemporary Mathematics
8 Annals of Physics
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Bulletin des Sciences Mathématiques
8 Research in Number Theory
7 Reviews in Mathematical Physics
7 Journal of the Mathematical Society of Japan
7 Mathematische Nachrichten
7 The Electronic Journal of Combinatorics
7 New Journal of Physics
7 Algebra & Number Theory
7 Journal of Topology and Analysis
7 Japanese Journal of Mathematics. 3rd Series
7 Kyoto Journal of Mathematics
...and 246 more Serials
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Cited in 58 Fields

1,208 Topological groups, Lie groups (22-XX)
615 Differential geometry (53-XX)
573 Number theory (11-XX)
542 Nonassociative rings and algebras (17-XX)
396 Quantum theory (81-XX)
359 Group theory and generalizations (20-XX)
274 Algebraic geometry (14-XX)
273 Global analysis, analysis on manifolds (58-XX)
261 Combinatorics (05-XX)
258 Abstract harmonic analysis (43-XX)
154 Manifolds and cell complexes (57-XX)
153 Partial differential equations (35-XX)
134 Several complex variables and analytic spaces (32-XX)
108 Functional analysis (46-XX)
106 Associative rings and algebras (16-XX)
101 Linear and multilinear algebra; matrix theory (15-XX)
97 Dynamical systems and ergodic theory (37-XX)
84 Algebraic topology (55-XX)
81 Probability theory and stochastic processes (60-XX)
75 Special functions (33-XX)
62 Commutative algebra (13-XX)
58 Relativity and gravitational theory (83-XX)
54 Operator theory (47-XX)
51 Statistical mechanics, structure of matter (82-XX)
39 Computer science (68-XX)
33 Convex and discrete geometry (52-XX)
32 Category theory; homological algebra (18-XX)
32 Functions of a complex variable (30-XX)
27 Harmonic analysis on Euclidean spaces (42-XX)
22 Information and communication theory, circuits (94-XX)
21 Mechanics of particles and systems (70-XX)
20 Statistics (62-XX)
18 Geometry (51-XX)
17 Integral transforms, operational calculus (44-XX)
14 Ordinary differential equations (34-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 \(K\)-theory (19-XX)
9 Numerical analysis (65-XX)
9 Operations research, mathematical programming (90-XX)
8 Measure and integration (28-XX)
8 Potential theory (31-XX)
6 Real functions (26-XX)
6 General topology (54-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Field theory and polynomials (12-XX)
5 Difference and functional equations (39-XX)
5 Fluid mechanics (76-XX)
5 Biology and other natural sciences (92-XX)
5 Systems theory; control (93-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Optics, electromagnetic theory (78-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematical logic and foundations (03-XX)
2 Integral equations (45-XX)
2 Mechanics of deformable solids (74-XX)
1 General algebraic systems (08-XX)
1 Approximations and expansions (41-XX)

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