Edit Profile Wallach, Nolan Russell Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0443.22010Borel, Armand; Wallach, N. 313 1980 Representations and invariants of the classical groups. Zbl 0901.22001Goodman, Roe; Wallach, Nolan R. 239 1998 Real reductive groups I. Zbl 0666.22002Wallach, Nolan R. 195 1988 Symmetry, representations, and invariants. Based on the book ‘Representations and invariants of the classical groups’ originally published by Cambridge University Press, 1998. Zbl 1173.22001Goodman, Roe; Wallach, Nolan R. 174 2009 Harmonic analysis on homogeneous spaces. Zbl 0265.22022Wallach, Nolan R. 168 1973 Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015Borel, A.; Wallach, N. 153 2000 Real reductive groups II. Zbl 0785.22001Wallach, Nolan R. 118 1992 Compact homogeneous Riemannian manifolds with strictly positive curvature. Zbl 0261.53033Wallach, Nolan R. 103 1972 An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures. Zbl 0362.53033Aloff, Simon; Wallach, Nolan R. 101 1975 A classification of unitary highest weight modules. Zbl 0535.22012Enright, Thomas; Howe, Roger; Wallach, Nolan 89 1983 Global entanglement in multiparticle systems. Zbl 1060.81506Meyer, David A.; Wallach, Nolan R. 67 2002 Minimal immersions of spheres into spheres. Zbl 0218.53069do Carmo, Manfredo Perdigão; Wallach, N. R. 62 1971 Homological connectivity of random \(k\)-dimensional complexes. Zbl 1177.55011Meshulam, R.; Wallach, N. 54 2009 Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\). Zbl 0397.22007DeGeorge, David L.; Wallach, Nolan R. 49 1978 Composition series and intertwining operators for the spherical principal series. I. Zbl 0349.43010Johnson, Kenneth D.; Wallach, Nolan R. 48 1977 The analytic continuation of the discrete series. II. Zbl 0419.22018Wallach, Nolan R. 46 1979 Global hypoellipticity and Liouville numbers. Zbl 0229.35023Greenfield, Stephen J.; Wallach, Nolan R. 46 1972 On a classification of gradient shrinking solitons. Zbl 1158.53052Ni, Lei; Wallach, Nolan 44 2008 The analytic continuation of the discrete series. I. Zbl 0419.22017Wallach, Nolan R. 43 1979 Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. Zbl 0514.22012Goodman, Roe; Wallach, Nolan R. 42 1984 Lorentzian symmetric spaces. Zbl 0194.53202Cahen, Michel; Wallach, N. 42 1970 Projective modules over graded Lie algebras. I. Zbl 0467.17006Rocha-Caridi, Alvany; Wallach, Nolan R. 41 1982 Projective unitary positive-energy representations of \(Diff(S^ 1)\). Zbl 0636.22013Goodman, Roe; Wallach, Nolan R. 39 1985 On the Selberg trace formula in the case of compact quotient. Zbl 0351.22008Wallach, Nolan R. 36 1976 Whittaker vectors and conical vectors. Zbl 0475.22010Goodman, Roe; Wallach, Nolan R. 35 1980 Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037Kostant, Bertram; Wallach, Nolan 34 2006 Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005Wallach, Nolan R. 34 1983 On quaternionic discrete series representations, and their continuations. Zbl 0857.22012Gross, Benedict H.; Wallach, Nolan R. 33 1996 Notes on homological algebra and representations of Lie algebras. Zbl 0429.17012Enright, T. J.; Wallach, N. R. 33 1980 Minimal immersions of symmetric spaces into spheres. Zbl 0232.53027Wallach, Nolan R. 27 1972 On the unitarizability of derived functor modules. Zbl 0547.22008Wallach, Nolan R. 25 1984 On the constant term of a square integrable automorphic form. Zbl 0554.22004Wallach, N. R. 23 1984 Szegoe kernels associated with discrete series. Zbl 0332.22015Knapp, A. W.; Wallach, N. R. 23 1976 All maximally entangled four-qubit states. Zbl 1314.81037Gour, Gilad; Wallach, Nolan R. 22 2010 Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038Kostant, Bertram; Wallach, Nolan 22 2006 Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004Wallach, Nolan R. 21 1993 Highest weight modules over graded Lie algebras: Resolutions, filtrations and character formulas. Zbl 0512.17007Rocha-Caridi, Alvany; Wallach, Nolan R. 21 1983 A distinguished family of unitary representations for the exceptional groups of real rank \(= 4\). Zbl 0839.22006Gross, Benedict H.; Wallach, Nolan R. 20 1994 Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. Zbl 0592.58028Goodman, Roe; Wallach, Nolan R. 20 1984 Symplectic geometry and Fourier analysis. With an appendix on quantum mechanics by Robert Hermann. Zbl 0379.53010Wallach, Nolan R. 19 1977 Classical and quantum-mechanical systems of Toda lattice type. I. Zbl 0503.22013Goodman, Roe; Wallach, Nolan R. 18 1982 Intertwining operators for real reductive groups. Zbl 0729.22021Vogan, D. A. jun.; Wallach, N. R. 17 1990 Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum. Zbl 0482.43006DeGeorge, David L.; Wallach, Nolan R. 17 1979 Globally hypoelliptic vector fields. Zbl 0268.58007Greenfield, Stephen J.; Wallach, Nolan R. 17 1973 Cyclic vectors and irreducibility for principal series representations. Zbl 0227.22016Wallach, Nolan R. 17 1971 Characters of irreducible representations of the Lie algebra of vector fields on the circle. Zbl 0498.17010Rocha-Caridi, Alvany; Wallach, Nolan R. 16 1983 On the Enright-Varadarajan modules: A construction of the discrete series. Zbl 0379.22008Wallach, Nolan R. 16 1976 Unitary derived functor modules with small spectrum. Zbl 0568.22007Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A. 15 1985 Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016Baur, Karin; Wallach, Nolan 14 2005 Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008Rocha-Caridi, Alvany; Wallach, Nolan R. 14 1984 Composition series and intertwining operators for the spherical principal series. Zbl 0257.22016Johnson, Kenneth; Wallach, Nolan R. 14 1972 Finite- and infinite-dimensional representations of linear semisimple groups. Zbl 0279.17001Lepowsky, James; Wallach, Nolan R. 13 1974 Remarks on global hypoellipticity. Zbl 0274.35018Greenfield, Stephen J.; Wallach, Nolan R. 13 1973 Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301do Carmo, Manfredo Perdigão; Wallach, N. R. 13 1970 The Hilbert series of measures of entanglement for 4 qubits. Zbl 1097.81023Wallach, Nolan R. 12 2005 Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008Gross, B.; Wallach, N. 12 2000 On four-dimensional gradient shrinking solitons. Zbl 1146.53039Ni, Lei; Wallach, Nolan 11 2008 Kuznetsov formulas for real rank one groups. Zbl 0711.11023Miatello, R.; Wallach, N. R. 11 1990 Automorphic forms constructed from Whittaker vectors. Zbl 0692.10029Miatello, R.; Wallach, N. R. 11 1989 Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016Wallach, Nolan R. 11 1988 Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems. Zbl 0616.22010Goodman, Roe; Wallach, Nolan R. 11 1986 On Harish-Chandra’s generalized C-functions. Zbl 0312.22010Wallach, Nolan R. 11 1975 Automorphism groups of bounded domains in Banach spaces. Zbl 0254.32026Greenfield, Stephen J.; Wallach, Nolan R. 11 1972 The restriction of admissible modules to parabolic subalgebras. Zbl 0493.17004Stafford, J. T.; Wallach, N. R. 10 1982 The fundamental series of representations of a real semisimple Lie algebra. Zbl 0383.22011Enright, Thomas J.; Wallach, Nolan R. 10 1978 Induced representations of Lie algebras and a theorem of Borel-Weil. Zbl 0294.17005Wallach, Nolan R. 10 1969 Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike 9 2012 On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044Gross, Benedict H.; Wallach, Nolan R. 9 2011 On the nullcone of representations of reductive groups. Zbl 1124.20030Kraft, Hanspeter; Wallach, Nolan R. 9 2006 Generalized Whittaker vectors for holomorphic and quaternionic representations. Zbl 1031.22006Wallach, Nolan R. 9 2003 The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044Miatello, R.; Wallach, N. R. 9 1992 Induced representations of Lie algebras. II. Zbl 0294.17006Wallach, Nolan R. 9 1969 Correction and addition to Szegö kernels associated with discrete series. Zbl 0452.22016Knapp, A. W.; Wallach, N. R. 8 1980 An asymptotic formula of Gelfand and Gangolli for the spectrum of \(\Gamma\setminus G\). Zbl 0341.43009Wallach, Nolan R. 8 1976 On maximal subsystems of root systems. Zbl 0235.17007Wallach, Nolan R. 8 1968 Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002Wallach, Nolan R. 7 2006 On Matsushima’s formula for the Betti numbers of a locally symmetric space. Zbl 0327.53032Hotta, Ryoshi; Wallach, Nolan R. 7 1975 Curvature forms for 2-manifolds. Zbl 0197.47901Wallach, N. R.; Warner, F. W. 7 1970 Extension of locally defined minimal immersions into spheres. Zbl 0193.22001Wallach, Nolan R. 7 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 1256.22007Wallach, Nolan; Yacobi, Oded 6 2009 Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce 6 2009 On some \(q\)-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009Wallach, N. R.; Willenbring, J. 6 2000 Representations of reductive Lie groups. Zbl 0421.22006Wallach, Nolan R. 6 1979 A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\). Zbl 1355.05254Garsia, Adriano; Sergel Leven, Emily; Wallach, Nolan; Xin, Guoce 5 2017 An unentangled Gleason’s theorem. Zbl 1063.81038Wallach, Nolan R. 5 2002 Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005Meyer, David A.; Wallach, Noland 5 2002 Properties and examples of FCR-algebras. Zbl 1039.16027Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R. 5 2001 Representations and invariants of the classical groups. Paperback ed. Zbl 0948.22001Goodman, Roe; Wallach, Nolan R. 5 1999 Dimensions of spaces of generalized spherical functions. Zbl 0856.22012Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan 5 1996 Polynomial differential operators associated with Hermitian symmetric spaces. Zbl 1226.22018Wallach, Nolan R. 5 1992 On the unitarizability of representations with highest weights. Zbl 0311.22008Wallach, Nolan R. 5 1975 Polarizations and nullcone of representations of reductive groups. Zbl 1223.20040Kraft, Hanspeter; Wallach, Nolan R. 4 2010 A combinatorial problem associated with nonograms. Zbl 1076.05015Benton, Jessica; Snow, Rion; Wallach, Nolan 4 2006 Hereditary properties of direct summands of algebras. Zbl 0952.16005Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R. 4 1999 Resolvent and lattice points on symmetric spaces of strictly negative curvature. Zbl 0972.11094Bruggeman, R. W.; Miatello, R. J.; Wallach, N. R. 4 1999 Embeddings of unitary highest weight representations and generalized Dirac operators. Zbl 0882.22014Enright, Thomas J.; Wallach, Nolan R. 4 1997 Transfer of unitary representations between real forms. Zbl 0833.22021Wallach, Nolan R. 4 1994 Higher-order Sugawara operators for affine Lie algebras. Zbl 0676.17013Goodman, Roe; Wallach, Nolan R. 4 1989 Square integrable automorphic forms and cohomology of arithmetic quotients of \(SU(p,q)\). Zbl 0533.10025Wallach, Nolan R. 4 1984 Classes of unitarizable derived functor modules. Zbl 0527.22007Enright, Thomas J.; Parthasarathy, Rajagopalan; Wallach, Nolan R.; Wolf, Joseph A. 4 1983 A new plethystic symmetric function operator and the rational compositional shuffle conjecture at \(t=1/q\). Zbl 1355.05254Garsia, Adriano; Sergel Leven, Emily; Wallach, Nolan; Xin, Guoce 5 2017 Geometric invariant theory. Over the real and complex numbers. Zbl 1387.14124Wallach, 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 1307.53052Cheung, Man-Wai; Wallach, Nolan R. 2 2015 Action of the conformal group on steady state solutions to Maxwell’s equations and background radiation. Zbl 1327.78003Kostant, Bertram; Wallach, Nolan R. 2 2014 On symmetric SL-invariant polynomials in four qubits. Zbl 1314.81036Gour, Gilad; Wallach, Nolan R. 1 2014 Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike 9 2012 Bessel models for general admissible induced representations: the compact stabilizer case. Zbl 1239.22002Gomez, Raul; Wallach, Nolan 2 2012 On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044Gross, Benedict H.; Wallach, Nolan R. 9 2011 On the algebraic set of singular elements in a complex simple Lie algebra. Zbl 1235.22009Kostant, Bertram; Wallach, Nolan 1 2011 All maximally entangled four-qubit states. Zbl 1314.81037Gour, Gilad; Wallach, Nolan R. 22 2010 Polarizations and nullcone of representations of reductive groups. Zbl 1223.20040Kraft, Hanspeter; Wallach, Nolan R. 4 2010 Harmonics for deformed Steenrod operators (extended abstract). Zbl 1373.05202Bergeron, François; Garsia, Adriano; Wallach, Nolan 1 2010 Symmetry, representations, and invariants. Based on the book ‘Representations and invariants of the classical groups’ originally published by Cambridge University Press, 1998. Zbl 1173.22001Goodman, Roe; Wallach, Nolan R. 174 2009 Homological connectivity of random \(k\)-dimensional complexes. Zbl 1177.55011Meshulam, R.; Wallach, N. 54 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 1256.22007Wallach, Nolan; Yacobi, Oded 6 2009 Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce 6 2009 Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials. Zbl 1228.05289Garsia, A.; Wallach, N.; Xin, G.; Zabrocki, M. 3 2009 On a theorem of Ranee Brylinski. Zbl 1267.17006Kostant, Bertram; Wallach, Nolan 1 2009 On a classification of gradient shrinking solitons. Zbl 1158.53052Ni, Lei; Wallach, Nolan 44 2008 On four-dimensional gradient shrinking solitons. Zbl 1146.53039Ni, Lei; Wallach, Nolan 11 2008 Quantum computing and entanglement for mathematicians. Zbl 1139.81332Wallach, Nolan R. 3 2008 \(r\)-Qsym is free over Sym. Zbl 1115.05094Garsia, A. M.; Wallach, N. 2 2007 Pfaffians and strategies for integer choice games. Zbl 1390.91013Evans, Ron; Wallach, Nolan 1 2007 Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037Kostant, Bertram; Wallach, Nolan 34 2006 Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038Kostant, Bertram; Wallach, Nolan 22 2006 On the nullcone of representations of reductive groups. Zbl 1124.20030Kraft, Hanspeter; Wallach, Nolan R. 9 2006 Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002Wallach, Nolan R. 7 2006 A combinatorial problem associated with nonograms. Zbl 1076.05015Benton, Jessica; Snow, Rion; Wallach, Nolan 4 2006 The non-degeneracy of the bilinear form of \(m\)-quasi-invariants. Zbl 1171.20313Garsia, A. M.; Wallach, N. 3 2006 Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016Baur, Karin; Wallach, Nolan 14 2005 The Hilbert series of measures of entanglement for 4 qubits. Zbl 1097.81023Wallach, Nolan R. 12 2005 Transfer of unitary representations. Zbl 1071.22016Wallach, Nolan R.; Zhu, Chen-Bo 3 2004 A Pieri rule for Hermitian symmetric pairs. I. Zbl 1066.22013Enright, Thomas J.; Hunziker, Markus; Wallach, Nolan R. 2 2004 Representations of \(SL_2\) and the distribution of points in \(\mathbb{P}^n\). Zbl 1129.13004Kuttler, J.; Wallach, N. 2 2004 Combinatorial aspects of the Baker-Akhiezer functions for \(S_2\). Zbl 1055.05157Garsia, A. M.; Wallach, N. 2 2004 A Pieri rule for Hermitian symmetric pairs. II. Zbl 1066.22014Enright, Thomas J.; Wallach, Nolan R. 1 2004 Generalized Whittaker vectors for holomorphic and quaternionic representations. Zbl 1031.22006Wallach, Nolan R. 9 2003 Qsym over Sym is free. Zbl 1032.05139Garsia, A. M.; Wallach, N. 3 2003 Some new applications of orbit harmonics. Zbl 1091.13005Garsia, A. M.; Wallach, N. R. 2 2003 Global entanglement in multiparticle systems. Zbl 1060.81506Meyer, David A.; Wallach, Nolan R. 67 2002 An unentangled Gleason’s theorem. Zbl 1063.81038Wallach, Nolan R. 5 2002 Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005Meyer, David A.; Wallach, Noland 5 2002 On the separation property of orbits in representation spaces. Zbl 1055.20038Kraft, Hanspeter; Wallach, Nolan R. 1 2002 Properties and examples of FCR-algebras. Zbl 1039.16027Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R. 5 2001 Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015Borel, A.; Wallach, N. 153 2000 Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008Gross, B.; Wallach, N. 12 2000 On some \(q\)-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009Wallach, N. R.; Willenbring, J. 6 2000 Representations and invariants of the classical groups. Paperback ed. Zbl 0948.22001Goodman, Roe; Wallach, Nolan R. 5 1999 Hereditary properties of direct summands of algebras. Zbl 0952.16005Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R. 4 1999 Resolvent and lattice points on symmetric spaces of strictly negative curvature. Zbl 0972.11094Bruggeman, R. W.; Miatello, R. J.; Wallach, N. R. 4 1999 Representations and invariants of the classical groups. Zbl 0901.22001Goodman, Roe; Wallach, Nolan R. 239 1998 Embeddings of unitary highest weight representations and generalized Dirac operators. Zbl 0882.22014Enright, Thomas J.; Wallach, Nolan R. 4 1997 On quaternionic discrete series representations, and their continuations. Zbl 0857.22012Gross, Benedict H.; Wallach, Nolan R. 33 1996 Dimensions of spaces of generalized spherical functions. Zbl 0856.22012Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan 5 1996 On a theorem of Milnor and Thom. Zbl 0876.14037Wallach, Nolan R. 2 1996 On the Harish-Chandra homomorphism of invariant differential operators on a reductive Lie algebra. Zbl 0836.22013Wallach, N. R.; Hunziker, M. 1 1995 A distinguished family of unitary representations for the exceptional groups of real rank \(= 4\). Zbl 0839.22006Gross, Benedict H.; Wallach, Nolan R. 20 1994 Transfer of unitary representations between real forms. Zbl 0833.22021Wallach, Nolan R. 4 1994 Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004Wallach, Nolan R. 21 1993 Real reductive groups II. Zbl 0785.22001Wallach, Nolan R. 118 1992 The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044Miatello, R.; Wallach, N. R. 9 1992 Polynomial differential operators associated with Hermitian symmetric spaces. Zbl 1226.22018Wallach, Nolan R. 5 1992 On the distribution of eigenvalues of the Laplacian of a locally symmetric space. Zbl 0727.58049Wallach, Nolan R. 1 1991 Intertwining operators for real reductive groups. Zbl 0729.22021Vogan, D. A. jun.; Wallach, N. R. 17 1990 Kuznetsov formulas for real rank one groups. Zbl 0711.11023Miatello, R.; Wallach, N. R. 11 1990 The powers of the resolvent on a locally symmetric space. Zbl 0760.22021Wallach, Nolan R. 3 1990 Automorphic forms constructed from Whittaker vectors. Zbl 0692.10029Miatello, R.; Wallach, N. R. 11 1989 Higher-order Sugawara operators for affine Lie algebras. Zbl 0676.17013Goodman, Roe; Wallach, Nolan R. 4 1989 Real reductive groups I. Zbl 0666.22002Wallach, Nolan R. 195 1988 Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016Wallach, Nolan R. 11 1988 A class of non-standard modules for affine Lie algebras. Zbl 0637.17011Wallach, Nolan R. 2 1987 On the irreducibility and inequivalence of unitary representations of gauge groups. Zbl 0632.22014Wallach, Nolan R. 2 1987 Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems. Zbl 0616.22010Goodman, Roe; Wallach, Nolan R. 11 1986 Projective unitary positive-energy representations of \(Diff(S^ 1)\). Zbl 0636.22013Goodman, Roe; Wallach, Nolan R. 39 1985 Unitary derived functor modules with small spectrum. Zbl 0568.22007Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A. 15 1985 Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. Zbl 0514.22012Goodman, Roe; Wallach, Nolan R. 42 1984 On the unitarizability of derived functor modules. Zbl 0547.22008Wallach, Nolan R. 25 1984 On the constant term of a square integrable automorphic form. Zbl 0554.22004Wallach, N. R. 23 1984 Classical and quantum mechanical systems of Toda-lattice type. II: Solutions of the classical flows. Zbl 0592.58028Goodman, Roe; Wallach, Nolan R. 20 1984 Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008Rocha-Caridi, Alvany; Wallach, Nolan R. 14 1984 Square integrable automorphic forms and cohomology of arithmetic quotients of \(SU(p,q)\). Zbl 0533.10025Wallach, Nolan R. 4 1984 Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. Zbl 0537.22015Goodman, Roe; Wallach, Nolan R. 3 1984 A classification of unitary highest weight modules. Zbl 0535.22012Enright, Thomas; Howe, Roger; Wallach, Nolan 89 1983 Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005Wallach, Nolan R. 34 1983 Highest weight modules over graded Lie algebras: Resolutions, filtrations and character formulas. Zbl 0512.17007Rocha-Caridi, Alvany; Wallach, Nolan R. 21 1983 Characters of irreducible representations of the Lie algebra of vector fields on the circle. Zbl 0498.17010Rocha-Caridi, Alvany; Wallach, Nolan R. 16 1983 Classes of unitarizable derived functor modules. Zbl 0527.22007Enright, 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 0566.22014Wallach, Nolan R.; Wolf, Joseph A. 2 1983 Projective modules over graded Lie algebras. I. Zbl 0467.17006Rocha-Caridi, Alvany; Wallach, Nolan R. 41 1982 Classical and quantum-mechanical systems of Toda lattice type. I. Zbl 0503.22013Goodman, Roe; Wallach, Nolan R. 18 1982 The restriction of admissible modules to parabolic subalgebras. Zbl 0493.17004Stafford, J. T.; Wallach, N. R. 10 1982 The restriction of Whittaker modules to certain parabolic subalgebras. Zbl 0457.22009Wallach, Nolan R. 2 1981 Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010Borel, Armand; Wallach, N. 313 1980 Whittaker vectors and conical vectors. Zbl 0475.22010Goodman, Roe; Wallach, Nolan R. 35 1980 Notes on homological algebra and representations of Lie algebras. Zbl 0429.17012Enright, T. J.; Wallach, N. R. 33 1980 Correction and addition to Szegö kernels associated with discrete series. Zbl 0452.22016Knapp, A. W.; Wallach, N. R. 8 1980 The analytic continuation of the discrete series. II. Zbl 0419.22018Wallach, Nolan R. 46 1979 The analytic continuation of the discrete series. I. Zbl 0419.22017Wallach, Nolan R. 43 1979 Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum. Zbl 0482.43006DeGeorge, David L.; Wallach, Nolan R. 17 1979 Representations of reductive Lie groups. Zbl 0421.22006Wallach, Nolan R. 6 1979 ...and 39 more Documents all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.