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Wallach, Nolan Russell

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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, 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

Publications by Year

Citations contained in zbMATH Open

139 Publications have been cited 3,416 times in 2,656 Documents Cited by Year
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
301
1980
Representations and invariants of the classical groups. Zbl 0901.22001
Goodman, Roe; Wallach, Nolan R.
236
1998
Real reductive groups I. Zbl 0666.22002
Wallach, Nolan R.
196
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.
195
2009
Harmonic analysis on homogeneous spaces. Zbl 0265.22022
Wallach, Nolan R.
173
1973
Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015
Borel, A.; Wallach, N.
169
2000
Real reductive groups II. Zbl 0785.22001
Wallach, Nolan R.
130
1992
Compact homogeneous Riemannian manifolds with strictly positive curvature. Zbl 0261.53033
Wallach, Nolan R.
108
1972
An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures. Zbl 0362.53033
Aloff, Simon; Wallach, Nolan R.
105
1975
Global entanglement in multiparticle systems. Zbl 1060.81506
Meyer, David A.; Wallach, Nolan R.
68
2002
A classification of unitary highest weight modules. Zbl 0535.22012
Enright, Thomas; Howe, Roger; Wallach, Nolan
66
1983
Minimal immersions of spheres into spheres. Zbl 0218.53069
do Carmo, Manfredo Perdigão; Wallach, N. R.
63
1971
Homological connectivity of random \(k\)-dimensional complexes. Zbl 1177.55011
Meshulam, R.; Wallach, N.
61
2009
Global hypoellipticity and Liouville numbers. Zbl 0229.35023
Greenfield, Stephen J.; Wallach, Nolan R.
54
1972
Composition series and intertwining operators for the spherical principal series. I. Zbl 0349.43010
Johnson, Kenneth D.; Wallach, Nolan R.
52
1977
On a classification of gradient shrinking solitons. Zbl 1158.53052
Ni, Lei; Wallach, Nolan
51
2008
Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\). Zbl 0397.22007
DeGeorge, David L.; Wallach, Nolan R.
49
1978
The analytic continuation of the discrete series. II. Zbl 0419.22018
Wallach, Nolan R.
46
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.
44
1984
Lorentzian symmetric spaces. Zbl 0194.53202
Cahen, Michel; Wallach, N.
44
1970
Projective modules over graded Lie algebras. I. Zbl 0467.17006
Rocha-Caridi, Alvany; Wallach, Nolan R.
42
1982
The analytic continuation of the discrete series. I. Zbl 0419.22017
Wallach, Nolan R.
41
1979
Projective unitary positive-energy representations of \(Diff(S^ 1)\). Zbl 0636.22013
Goodman, Roe; Wallach, Nolan R.
40
1985
On the Selberg trace formula in the case of compact quotient. Zbl 0351.22008
Wallach, Nolan R.
37
1976
On quaternionic discrete series representations, and their continuations. Zbl 0857.22012
Gross, Benedict H.; Wallach, Nolan R.
36
1996
Whittaker vectors and conical vectors. Zbl 0475.22010
Goodman, Roe; Wallach, Nolan R.
35
1980
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
35
2006
Notes on homological algebra and representations of Lie algebras. Zbl 0429.17012
Enright, T. J.; Wallach, N. R.
33
1980
Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005
Wallach, Nolan R.
27
1983
On the unitarizability of derived functor modules. Zbl 0547.22008
Wallach, Nolan R.
25
1984
Minimal immersions of symmetric spaces into spheres. Zbl 0232.53027
Wallach, Nolan R.
25
1972
Szegoe kernels associated with discrete series. Zbl 0332.22015
Knapp, A. W.; Wallach, N. R.
23
1976
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
23
2006
All maximally entangled four-qubit states. Zbl 1314.81037
Gour, Gilad; Wallach, Nolan R.
22
2010
On the constant term of a square integrable automorphic form. Zbl 0554.22004
Wallach, N. R.
22
1984
Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004
Wallach, Nolan R.
22
1993
Highest weight modules over graded Lie algebras: Resolutions, filtrations and character formulas. Zbl 0512.17007
Rocha-Caridi, Alvany; Wallach, Nolan R.
21
1983
A distinguished family of unitary representations for the exceptional groups of real rank \(= 4\). Zbl 0839.22006
Gross, Benedict H.; Wallach, Nolan R.
21
1994
Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. Zbl 0592.58028
Goodman, Roe; Wallach, Nolan R.
20
1984
Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum. Zbl 0482.43006
DeGeorge, David L.; Wallach, Nolan R.
19
1979
Globally hypoelliptic vector fields. Zbl 0268.58007
Greenfield, Stephen J.; Wallach, Nolan R.
19
1973
Classical and quantum-mechanical systems of Toda lattice type. I. Zbl 0503.22013
Goodman, Roe; Wallach, Nolan R.
18
1982
Intertwining operators for real reductive groups. Zbl 0729.22021
Vogan, D. A. jun.; Wallach, N. R.
17
1990
Cyclic vectors and irreducibility for principal series representations. Zbl 0227.22016
Wallach, Nolan R.
17
1971
On the Enright-Varadarajan modules: A construction of the discrete series. Zbl 0379.22008
Wallach, Nolan R.
16
1976
Symplectic geometry and Fourier analysis. With an appendix on quantum mechanics by Robert Hermann. Zbl 0379.53010
Wallach, Nolan R.
16
1977
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
Unitary derived functor modules with small spectrum. Zbl 0568.22007
Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A.
14
1985
Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016
Baur, Karin; Wallach, Nolan
14
2005
Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301
do Carmo, Manfredo Perdigão; Wallach, N. R.
14
1970
Remarks on global hypoellipticity. Zbl 0274.35018
Greenfield, Stephen J.; Wallach, Nolan R.
14
1973
Composition series and intertwining operators for the spherical principal series. Zbl 0257.22016
Johnson, Kenneth; Wallach, Nolan R.
14
1972
Finite- and infinite-dimensional representations of linear semisimple groups. Zbl 0279.17001
Lepowsky, James; Wallach, Nolan R.
13
1974
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
Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008
Gross, B.; Wallach, N.
12
2000
Automorphic forms constructed from Whittaker vectors. Zbl 0692.10029
Miatello, R.; Wallach, N. R.
12
1989
The Hilbert series of measures of entanglement for 4 qubits. Zbl 1097.81023
Wallach, Nolan R.
12
2005
Generalized Whittaker vectors for holomorphic and quaternionic representations. Zbl 1031.22006
Wallach, Nolan R.
12
2003
Kuznetsov formulas for real rank one groups. Zbl 0711.11023
Miatello, R.; Wallach, N. R.
11
1990
Automorphism groups of bounded domains in Banach spaces. Zbl 0254.32026
Greenfield, Stephen J.; Wallach, Nolan R.
11
1972
On Harish-Chandra’s generalized C-functions. Zbl 0312.22010
Wallach, Nolan R.
11
1975
On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044
Gross, Benedict H.; Wallach, Nolan R.
11
2011
On four-dimensional gradient shrinking solitons. Zbl 1146.53039
Ni, Lei; Wallach, Nolan
11
2008
The fundamental series of representations of a real semisimple Lie algebra. Zbl 0383.22011
Enright, Thomas J.; Wallach, Nolan R.
10
1978
The restriction of admissible modules to parabolic subalgebras. Zbl 0493.17004
Stafford, J. T.; Wallach, N. R.
10
1982
Induced representations of Lie algebras and a theorem of Borel-Weil. Zbl 0294.17005
Wallach, Nolan R.
10
1969
Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016
Wallach, Nolan R.
10
1988
Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269
Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike
9
2012
On the nullcone of representations of reductive groups. Zbl 1124.20030
Kraft, Hanspeter; Wallach, Nolan R.
9
2006
Induced representations of Lie algebras. II. Zbl 0294.17006
Wallach, Nolan R.
9
1969
The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044
Miatello, R.; Wallach, N. R.
9
1992
An asymptotic formula of Gelfand and Gangolli for the spectrum of \(\Gamma\setminus G\). Zbl 0341.43009
Wallach, Nolan R.
8
1976
On maximal subsystems of root systems. Zbl 0235.17007
Wallach, Nolan R.
8
1968
Correction and addition to Szegö kernels associated with discrete series. Zbl 0452.22016
Knapp, A. W.; Wallach, N. R.
8
1980
On Matsushima’s formula for the Betti numbers of a locally symmetric space. Zbl 0327.53032
Hotta, Ryoshi; Wallach, Nolan R.
7
1975
Representations and invariants of the classical groups. Paperback ed. Zbl 0948.22001
Goodman, Roe; Wallach, Nolan R.
7
1999
Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008
Rocha-Caridi, Alvany; Wallach, Nolan R.
7
1984
Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002
Wallach, Nolan R.
7
2006
Extension of locally defined minimal immersions into spheres. Zbl 0193.22001
Wallach, Nolan B.
7
1970
Curvature forms for 2-manifolds. Zbl 0197.47901
Wallach, N. R.; Warner, F. W.
7
1970
Representations of reductive Lie groups. Zbl 0421.22006
Wallach, Nolan R.
6
1979
On some \(q\)-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009
Wallach, N. R.; Willenbring, J.
6
2000
Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009
Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce
6
2009
Dimensions of spaces of generalized spherical functions. Zbl 0856.22012
Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan
6
1996
Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005
Meyer, David A.; Wallach, Noland
5
2002
Properties and examples of FCR-algebras. Zbl 1039.16027
Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R.
5
2001
An unentangled Gleason’s theorem. Zbl 1063.81038
Wallach, Nolan R.
5
2002
Qsym over Sym is free. Zbl 1032.05139
Garsia, A. M.; Wallach, N.
5
2003
Polynomial differential operators associated with Hermitian symmetric spaces. Zbl 1226.22018
Wallach, Nolan R.
5
1992
On the unitarizability of representations with highest weights. Zbl 0311.22008
Wallach, Nolan R.
5
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
5
2017
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
5
2009
Higher-order Sugawara operators for affine Lie algebras. Zbl 0676.17013
Goodman, Roe; Wallach, Nolan R.
4
1989
Polarizations and nullcone of representations of reductive groups. Zbl 1223.20040
Kraft, Hanspeter; Wallach, Nolan R.
4
2010
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
Classes of unitarizable derived functor modules. Zbl 0527.22007
Enright, Thomas J.; Parthasarathy, Rajagopalan; Wallach, Nolan R.; Wolf, Joseph A.
4
1983
Square integrable automorphic forms and cohomology of arithmetic quotients of \(SU(p,q)\). Zbl 0533.10025
Wallach, Nolan R.
4
1984
Transfer of unitary representations between real forms. Zbl 0833.22021
Wallach, Nolan R.
4
1994
Homogeneous positively pinched Riemannian manifolds. Zbl 0197.48003
Wallach, N. R.
4
1970
Pfaffians of Toeplitz payoff matrices. Zbl 1418.15007
Evans, Ron; Wallach, Nolan
1
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.
1
2018
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
5
2017
Geometric invariant theory. Over the real and complex numbers. Zbl 1387.14124
Wallach, Nolan R.
2
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.
3
2015
On the Gelfand-Kirillov dimension of a discrete series representation. Zbl 1341.22005
Wallach, Nolan R.
1
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.
2
2014
On symmetric SL-invariant polynomials in four qubits. Zbl 1314.81036
Gour, Gilad; Wallach, Nolan R.
1
2014
Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269
Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike
9
2012
Bessel models for general admissible induced representations: the compact stabilizer case. Zbl 1239.22002
Gomez, Raul; Wallach, Nolan
3
2012
On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044
Gross, Benedict H.; Wallach, Nolan R.
11
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.
22
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.
195
2009
Homological connectivity of random \(k\)-dimensional complexes. Zbl 1177.55011
Meshulam, R.; Wallach, N.
61
2009
Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009
Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce
6
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
5
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
51
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.
3
2008
\(r\)-Qsym is free over Sym. Zbl 1115.05094
Garsia, A. M.; Wallach, N.
2
2007
Pfaffians and strategies for integer choice games. Zbl 1390.91013
Evans, Ron; Wallach, Nolan
2
2007
Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037
Kostant, Bertram; Wallach, Nolan
35
2006
Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038
Kostant, Bertram; Wallach, Nolan
23
2006
On the nullcone of representations of reductive groups. Zbl 1124.20030
Kraft, Hanspeter; Wallach, Nolan R.
9
2006
Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002
Wallach, Nolan R.
7
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
14
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
3
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
Combinatorial aspects of the Baker-Akhiezer functions for \(S_2\). Zbl 1055.05157
Garsia, A. M.; Wallach, N.
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.
12
2003
Qsym over Sym is free. Zbl 1032.05139
Garsia, A. M.; Wallach, N.
5
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.
68
2002
Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005
Meyer, David A.; Wallach, Noland
5
2002
An unentangled Gleason’s theorem. Zbl 1063.81038
Wallach, Nolan R.
5
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.
169
2000
Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008
Gross, B.; Wallach, N.
12
2000
On some \(q\)-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009
Wallach, N. R.; Willenbring, J.
6
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
Representations and invariants of the classical groups. Zbl 0901.22001
Goodman, Roe; Wallach, Nolan R.
236
1998
Embeddings of unitary highest weight representations and generalized Dirac operators. Zbl 0882.22014
Enright, Thomas J.; Wallach, Nolan R.
4
1997
On quaternionic discrete series representations, and their continuations. Zbl 0857.22012
Gross, Benedict H.; Wallach, Nolan R.
36
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.
21
1994
Transfer of unitary representations between real forms. Zbl 0833.22021
Wallach, Nolan R.
4
1994
Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004
Wallach, Nolan R.
22
1993
Real reductive groups II. Zbl 0785.22001
Wallach, Nolan R.
130
1992
The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044
Miatello, R.; Wallach, N. R.
9
1992
Polynomial differential operators associated with Hermitian symmetric spaces. Zbl 1226.22018
Wallach, Nolan R.
5
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.
17
1990
Kuznetsov formulas for real rank one groups. Zbl 0711.11023
Miatello, R.; Wallach, N. R.
11
1990
The powers of the resolvent on a locally symmetric space. Zbl 0760.22021
Wallach, Nolan R.
3
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.
4
1989
Real reductive groups I. Zbl 0666.22002
Wallach, Nolan R.
196
1988
Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016
Wallach, Nolan R.
10
1988
On the irreducibility and inequivalence of unitary representations of gauge groups. Zbl 0632.22014
Wallach, Nolan R.
3
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 \(Diff(S^ 1)\). Zbl 0636.22013
Goodman, Roe; Wallach, Nolan R.
40
1985
Unitary derived functor modules with small spectrum. Zbl 0568.22007
Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A.
14
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.
44
1984
On the unitarizability of derived functor modules. Zbl 0547.22008
Wallach, Nolan R.
25
1984
On the constant term of a square integrable automorphic form. Zbl 0554.22004
Wallach, N. R.
22
1984
Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. Zbl 0592.58028
Goodman, Roe; Wallach, Nolan R.
20
1984
Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008
Rocha-Caridi, Alvany; Wallach, Nolan R.
7
1984
Square integrable automorphic forms and cohomology of arithmetic quotients of \(SU(p,q)\). Zbl 0533.10025
Wallach, Nolan R.
4
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
66
1983
Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005
Wallach, Nolan R.
27
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.
2
1983
Projective modules over graded Lie algebras. I. Zbl 0467.17006
Rocha-Caridi, Alvany; Wallach, Nolan R.
42
1982
Classical and quantum-mechanical systems of Toda lattice type. I. Zbl 0503.22013
Goodman, Roe; Wallach, Nolan R.
18
1982
The restriction of admissible modules to parabolic subalgebras. Zbl 0493.17004
Stafford, J. T.; Wallach, N. R.
10
1982
The restriction of Whittaker modules to certain parabolic subalgebras. Zbl 0457.22009
Wallach, Nolan R.
2
1981
Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010
Borel, Armand; Wallach, N.
301
1980
Whittaker vectors and conical vectors. Zbl 0475.22010
Goodman, Roe; Wallach, Nolan R.
35
1980
Notes on homological algebra and representations of Lie algebras. Zbl 0429.17012
Enright, T. J.; Wallach, N. R.
33
1980
Correction and addition to Szegö kernels associated with discrete series. Zbl 0452.22016
Knapp, A. W.; Wallach, N. R.
8
1980
The analytic continuation of the discrete series. II. Zbl 0419.22018
Wallach, Nolan R.
46
1979
The analytic continuation of the discrete series. I. Zbl 0419.22017
Wallach, Nolan R.
41
1979
...and 39 more Documents
all top 5

Cited by 2,482 Authors

50 Wallach, Nolan Russell
21 Futorny, Vyacheslav M.
21 Ólafsson, Gestur
21 Sun, Binyong
19 Kobayashi, Toshiyuki
16 Ørsted, Bent
15 Howe, Roger Evans
15 Schlichtkrull, Henrik
14 Clozel, Laurent
14 Delorme, Patrick
14 Krötz, Bernhard J.
14 Neeb, Karl-Hermann
14 Schwermer, Joachim
13 Kim, Sangjib
13 Speh, Birgit
12 Knapp, Anthony William
12 Lee, Soo Teck
12 Sahi, Siddhartha
12 Zhang, Genkai
12 Ziller, Wolfgang
11 Deitmar, Anton
11 Farber, Michael S.
11 Harris, Michael Howard
11 Huang, Jing-Song
11 Willenbring, Jeb F.
11 Zhang, Ruibin
10 Kahle, Matthew
10 Kazhdan, David A.
10 Kirilov, Alexandre
10 Miatello, Roberto Jorge
10 Petronilho, Gerson
10 Przebinda, Tomasz
10 Ramirez, Luis Enrique
10 Wolf, Joseph Albert
10 Zhu, Chen-Bo
9 Baldoni-Silva, Maria Welleda
9 Dooley, Anthony Haynes
9 Gourevitch, Dmitry
9 Li, Jian-Shu
9 Millson, John J.
9 Nikonorov, Yurii Gennadyevich
9 Oda, Takayuki
9 Sarnak, Peter Clive
9 Savin, Gordan
9 Stroppel, Catharina H.
9 Tsuzuki, Masao
9 Vargas, Jorge Antonio
9 Williams, Floyd L.
9 Xu, Ming
8 Barbasch, Dan M.
8 Bergamasco, Adalberto Panobianco
8 Collingwood, David H.
8 Costa, Armindo
8 Deng, Shaoqiang
8 Feĭgin, Boris L’vovich
8 Grove, Karsten
8 Jantzen, Chris
8 Lapid, Erez Moshe
8 Lauret, Emilio A.
8 Loke, Hung Yean
8 Lubotzky, Alexander
8 Matumoto, Hisayosi
8 Muić, Goran
8 Rodionov, Evgeniĭ Dmitrievich
8 Sayag, Eitan
8 Tadić, Marko
8 Toth, Gabor
8 Xu, Xiaowei
7 Aizenbud, Avraham
7 Alesker, Semyon
7 Arakawa, Tomoyuki
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 Gross, Benedict Hyman
7 Harris, Pamela E.
7 He, Hongyu
7 Himonas, A. Alexandrou
7 Jakobsen, Hans Plesner
7 Kostant, Bertram
7 Mazorchuk, Volodymyr
7 Nakano, Daniel K.
7 Narita, Hiro-aki
7 Ruzhansky, Michael V.
7 Schmid, Wilfried
7 Schrijver, Alexander
7 Sergeev, Armen Glebovich
7 Van den Ban, Erik Peter
7 Vogan, David Alexander jun.
7 Zierau, Roger
6 Bergeron, Nicolas
6 Boe, Brian Douglas
6 Cahen, Benjamin
6 Cahen, Michel
6 Catino, Giovanni
6 Ciubotaru, Dan
...and 2,382 more Authors
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Cited in 299 Serials

160 Journal of Functional Analysis
111 Journal of Algebra
109 Transactions of the American Mathematical Society
98 Advances in Mathematics
96 Duke Mathematical Journal
91 Inventiones Mathematicae
78 Communications in Mathematical Physics
72 Mathematische Zeitschrift
61 Mathematische Annalen
58 Proceedings of the American Mathematical Society
53 Compositio Mathematica
52 Journal of Mathematical Physics
52 Representation Theory
40 Journal of Geometry and Physics
37 Israel Journal of Mathematics
32 Differential Geometry and its Applications
31 Annals of Global Analysis and Geometry
30 The Journal of Geometric Analysis
29 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
29 Manuscripta Mathematica
29 Transformation Groups
28 Annales de l’Institut Fourier
27 Proceedings of the Japan Academy. Series A
24 Quantum Information Processing
23 Journal of the American Mathematical Society
22 Geometriae Dedicata
22 Journal für die Reine und Angewandte Mathematik
20 Communications in Algebra
20 Journal of Number Theory
20 Journal of Pure and Applied Algebra
20 Comptes Rendus. Mathématique. Académie des Sciences, Paris
19 Bulletin of the American Mathematical Society. New Series
18 Letters in Mathematical Physics
18 Linear Algebra and its Applications
17 Selecta Mathematica. New Series
16 Acta Mathematica
16 Tohoku Mathematical Journal. Second Series
16 Algebras and Representation Theory
15 International Journal of Theoretical Physics
15 Journal of Mathematical Analysis and Applications
15 International Journal of Mathematics
15 Geometric and Functional Analysis. GAFA
15 Journal of High Energy Physics
15 Journal of the Institute of Mathematics of Jussieu
14 Journal d’Analyse Mathématique
14 Annali di Matematica Pura ed Applicata. Serie Quarta
14 Functional Analysis and its Applications
14 Publications of the Research Institute for Mathematical Sciences, Kyoto University
14 Discrete & Computational Geometry
14 Annals of Mathematics. Second Series
13 Nuclear Physics. B
13 Journal of Combinatorial Theory. Series A
13 Journal of Lie Theory
13 Bulletin of the American Mathematical Society
12 Bulletin de la Société Mathématique de France
12 Kodai Mathematical Journal
12 Journal of Algebraic Combinatorics
11 Siberian Mathematical Journal
10 Archiv der Mathematik
10 International Journal of Quantum Information
9 Linear and Multilinear Algebra
9 Publications Mathématiques
9 Journal of Differential Equations
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 Forum Mathematicum
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Journal of Mathematical Sciences (New York)
8 The Journal of Fourier Analysis and Applications
8 Geometry & Topology
8 Journal of the European Mathematical Society (JEMS)
7 Reviews in Mathematical Physics
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Indagationes Mathematicae. New Series
7 Advances in Applied Clifford Algebras
7 Acta Mathematica Sinica. English Series
7 Communications in Contemporary Mathematics
6 Journal of the Mathematical Society of Japan
6 Nagoya Mathematical Journal
6 Calculus of Variations and Partial Differential Equations
6 New Journal of Physics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Journal of Topology and Analysis
6 Japanese Journal of Mathematics. 3rd Series
6 Physical Review A, Third Series
6 Forum of Mathematics, Sigma
5 Theoretical and Mathematical Physics
5 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
5 Michigan Mathematical Journal
5 Rendiconti del Seminario Matematico della Università di Padova
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
...and 199 more Serials
all top 5

Cited in 57 Fields

1,015 Topological groups, Lie groups (22-XX)
524 Differential geometry (53-XX)
453 Number theory (11-XX)
444 Nonassociative rings and algebras (17-XX)
296 Quantum theory (81-XX)
290 Group theory and generalizations (20-XX)
233 Global analysis, analysis on manifolds (58-XX)
226 Algebraic geometry (14-XX)
216 Abstract harmonic analysis (43-XX)
198 Combinatorics (05-XX)
133 Manifolds and cell complexes (57-XX)
127 Partial differential equations (35-XX)
113 Several complex variables and analytic spaces (32-XX)
90 Associative rings and algebras (16-XX)
87 Functional analysis (46-XX)
82 Dynamical systems and ergodic theory (37-XX)
72 Linear and multilinear algebra; matrix theory (15-XX)
67 Special functions (33-XX)
63 Algebraic topology (55-XX)
59 Probability theory and stochastic processes (60-XX)
50 Commutative algebra (13-XX)
42 Statistical mechanics, structure of matter (82-XX)
41 Operator theory (47-XX)
40 Relativity and gravitational theory (83-XX)
26 Computer science (68-XX)
25 Category theory; homological algebra (18-XX)
25 Convex and discrete geometry (52-XX)
24 Functions of a complex variable (30-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
18 Mechanics of particles and systems (70-XX)
15 Geometry (51-XX)
15 Information and communication theory, circuits (94-XX)
12 Ordinary differential equations (34-XX)
11 \(K\)-theory (19-XX)
10 Integral transforms, operational calculus (44-XX)
9 Statistics (62-XX)
7 Numerical analysis (65-XX)
6 Measure and integration (28-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Potential theory (31-XX)
5 General topology (54-XX)
5 Operations research, mathematical programming (90-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)
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 General algebraic systems (08-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)

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