Edit Profile (opens in new tab) Wallach, Nolan Russell Compute Distance To: Compute Author ID: wallach.nolan-r Published as: Wallach, Nolan R.; Wallach, Nolan; Wallach, N. R.; Wallach, N.; Wallach, Noland R.; Wallach, Nolan B.; Wallach, Noland External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 165 Publications since 1968, including 13 Books 4 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 57 Co-Authors with 109 Joint Publications 1,238 Co-Co-Authors all top 5 Co-Authors 59 single-authored 12 Goodman, Roe W. 11 Garsia, Adriano M. 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 Ni, Lei 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 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 Mandy 1 Gomez, Raul 1 Hermann, Robert 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 Swanson, Joshua P. 1 Tan, Eng-Chye 1 Tirao, Juan 1 Vogan, David Alexander jun. 1 Warner, Frank W. 1 Willenbring, Jeb F. 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 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 all top 5 Fields 93 Topological groups, Lie groups (22-XX) 40 Nonassociative rings and algebras (17-XX) 23 Differential geometry (53-XX) 19 Abstract harmonic analysis (43-XX) 18 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 General and overarching topics; collections (00-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 3 Associative rings and algebras (16-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-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 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 3,416 times in 2,656 Documents Cited by ▼ Year ▼ Continuous cohomology, discrete subgroups, and representations of reductive groups. Zbl 0443.22010Borel, Armand; Wallach, N. 301 1980 Representations and invariants of the classical groups. Zbl 0901.22001Goodman, Roe; Wallach, Nolan R. 236 1998 Real reductive groups I. Zbl 0666.22002Wallach, 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 1173.22001Goodman, Roe; Wallach, Nolan R. 195 2009 Harmonic analysis on homogeneous spaces. Zbl 0265.22022Wallach, Nolan R. 173 1973 Continuous cohomology, discrete subgroups, and representations of reductive groups. 2nd ed. Zbl 0980.22015Borel, A.; Wallach, N. 169 2000 Real reductive groups II. Zbl 0785.22001Wallach, Nolan R. 130 1992 Compact homogeneous Riemannian manifolds with strictly positive curvature. Zbl 0261.53033Wallach, Nolan R. 108 1972 An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures. Zbl 0362.53033Aloff, Simon; Wallach, Nolan R. 105 1975 Global entanglement in multiparticle systems. Zbl 1060.81506Meyer, David A.; Wallach, Nolan R. 68 2002 A classification of unitary highest weight modules. Zbl 0535.22012Enright, Thomas; Howe, Roger; Wallach, Nolan 66 1983 Minimal immersions of spheres into spheres. Zbl 0218.53069do Carmo, Manfredo Perdigão; Wallach, N. R. 63 1971 Homological connectivity of random \(k\)-dimensional complexes. Zbl 1177.55011Meshulam, R.; Wallach, N. 61 2009 Global hypoellipticity and Liouville numbers. Zbl 0229.35023Greenfield, Stephen J.; Wallach, Nolan R. 54 1972 Composition series and intertwining operators for the spherical principal series. I. Zbl 0349.43010Johnson, Kenneth D.; Wallach, Nolan R. 52 1977 On a classification of gradient shrinking solitons. Zbl 1158.53052Ni, Lei; Wallach, Nolan 51 2008 Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\). Zbl 0397.22007DeGeorge, David L.; Wallach, Nolan R. 49 1978 The analytic continuation of the discrete series. II. Zbl 0419.22018Wallach, Nolan R. 46 1979 Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle. Zbl 0514.22012Goodman, Roe; Wallach, Nolan R. 44 1984 Lorentzian symmetric spaces. Zbl 0194.53202Cahen, Michel; Wallach, N. 44 1970 Projective modules over graded Lie algebras. I. Zbl 0467.17006Rocha-Caridi, Alvany; Wallach, Nolan R. 42 1982 The analytic continuation of the discrete series. I. Zbl 0419.22017Wallach, Nolan R. 41 1979 Projective unitary positive-energy representations of \(Diff(S^ 1)\). Zbl 0636.22013Goodman, Roe; Wallach, Nolan R. 40 1985 On the Selberg trace formula in the case of compact quotient. Zbl 0351.22008Wallach, Nolan R. 37 1976 On quaternionic discrete series representations, and their continuations. Zbl 0857.22012Gross, Benedict H.; Wallach, Nolan R. 36 1996 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 35 2006 Notes on homological algebra and representations of Lie algebras. Zbl 0429.17012Enright, T. J.; Wallach, N. R. 33 1980 Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005Wallach, Nolan R. 27 1983 On the unitarizability of derived functor modules. Zbl 0547.22008Wallach, Nolan R. 25 1984 Minimal immersions of symmetric spaces into spheres. Zbl 0232.53027Wallach, Nolan R. 25 1972 Szegoe kernels associated with discrete series. Zbl 0332.22015Knapp, A. W.; Wallach, N. R. 23 1976 Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038Kostant, Bertram; Wallach, Nolan 23 2006 All maximally entangled four-qubit states. Zbl 1314.81037Gour, Gilad; Wallach, Nolan R. 22 2010 On the constant term of a square integrable automorphic form. Zbl 0554.22004Wallach, N. R. 22 1984 Invariant differential operators on a reductive Lie algebra and Weyl group representations. Zbl 0804.22004Wallach, Nolan R. 22 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. 21 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 Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum. Zbl 0482.43006DeGeorge, David L.; Wallach, Nolan R. 19 1979 Globally hypoelliptic vector fields. Zbl 0268.58007Greenfield, Stephen J.; Wallach, Nolan R. 19 1973 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 Cyclic vectors and irreducibility for principal series representations. Zbl 0227.22016Wallach, Nolan R. 17 1971 On the Enright-Varadarajan modules: A construction of the discrete series. Zbl 0379.22008Wallach, Nolan R. 16 1976 Symplectic geometry and Fourier analysis. With an appendix on quantum mechanics by Robert Hermann. Zbl 0379.53010Wallach, Nolan R. 16 1977 Characters of irreducible representations of the Lie algebra of vector fields on the circle. Zbl 0498.17010Rocha-Caridi, Alvany; Wallach, Nolan R. 16 1983 Unitary derived functor modules with small spectrum. Zbl 0568.22007Enright, T. J.; Parthasarathy, R.; Wallach, N. R.; Wolf, J. A. 14 1985 Nice parabolic subalgebras of reductive Lie algebras. Zbl 1128.17016Baur, Karin; Wallach, Nolan 14 2005 Representations of compact groups and minimal immersions into spheres. Zbl 0197.18301do Carmo, Manfredo Perdigão; Wallach, N. R. 14 1970 Remarks on global hypoellipticity. Zbl 0274.35018Greenfield, Stephen J.; Wallach, Nolan R. 14 1973 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 Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems. Zbl 0616.22010Goodman, Roe; Wallach, Nolan R. 12 1986 Restriction of small discrete series representations to symmetric subgroups. Zbl 0960.22008Gross, B.; Wallach, N. 12 2000 Automorphic forms constructed from Whittaker vectors. Zbl 0692.10029Miatello, R.; Wallach, N. R. 12 1989 The Hilbert series of measures of entanglement for 4 qubits. Zbl 1097.81023Wallach, Nolan R. 12 2005 Generalized Whittaker vectors for holomorphic and quaternionic representations. Zbl 1031.22006Wallach, Nolan R. 12 2003 Kuznetsov formulas for real rank one groups. Zbl 0711.11023Miatello, R.; Wallach, N. R. 11 1990 Automorphism groups of bounded domains in Banach spaces. Zbl 0254.32026Greenfield, Stephen J.; Wallach, Nolan R. 11 1972 On Harish-Chandra’s generalized C-functions. Zbl 0312.22010Wallach, Nolan R. 11 1975 On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044Gross, Benedict H.; Wallach, Nolan R. 11 2011 On four-dimensional gradient shrinking solitons. Zbl 1146.53039Ni, Lei; Wallach, Nolan 11 2008 The fundamental series of representations of a real semisimple Lie algebra. Zbl 0383.22011Enright, Thomas J.; Wallach, Nolan R. 10 1978 The restriction of admissible modules to parabolic subalgebras. Zbl 0493.17004Stafford, J. T.; Wallach, N. R. 10 1982 Induced representations of Lie algebras and a theorem of Borel-Weil. Zbl 0294.17005Wallach, Nolan R. 10 1969 Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016Wallach, Nolan R. 10 1988 Kronecker coefficients via symmetric functions and constant term identities. Zbl 1242.05269Garsia, Adriano; Wallach, Nolan; Xin, Guoce; Zabrocki, Mike 9 2012 On the nullcone of representations of reductive groups. Zbl 1124.20030Kraft, Hanspeter; Wallach, Nolan R. 9 2006 Induced representations of Lie algebras. II. Zbl 0294.17006Wallach, Nolan R. 9 1969 The resolvent of the Laplacian on locally symmetric spaces. Zbl 0766.53044Miatello, R.; Wallach, N. R. 9 1992 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 Correction and addition to Szegö kernels associated with discrete series. Zbl 0452.22016Knapp, A. W.; Wallach, N. R. 8 1980 On Matsushima’s formula for the Betti numbers of a locally symmetric space. Zbl 0327.53032Hotta, Ryoshi; Wallach, Nolan R. 7 1975 Representations and invariants of the classical groups. Paperback ed. Zbl 0948.22001Goodman, Roe; Wallach, Nolan R. 7 1999 Characters of irreducible representations of the Virasoro algebra. Zbl 0503.17008Rocha-Caridi, Alvany; Wallach, Nolan R. 7 1984 Holomorphic continuation of generalized Jacquet integrals for degenerate principal series. Zbl 1135.22002Wallach, Nolan R. 7 2006 Extension of locally defined minimal immersions into spheres. Zbl 0193.22001Wallach, Nolan B. 7 1970 Curvature forms for 2-manifolds. Zbl 0197.47901Wallach, N. R.; Warner, F. W. 7 1970 Representations of reductive Lie groups. Zbl 0421.22006Wallach, Nolan R. 6 1979 On some \(q\)-analogs of a theorem of Kostant-Rallis. Zbl 0951.22009Wallach, N. R.; Willenbring, J. 6 2000 Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009Garsia, Adriano; Musiker, Gregg; Wallach, Nolan; Xin, Guoce 6 2009 Dimensions of spaces of generalized spherical functions. Zbl 0856.22012Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan 6 1996 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 An unentangled Gleason’s theorem. Zbl 1063.81038Wallach, Nolan R. 5 2002 Qsym over Sym is free. Zbl 1032.05139Garsia, A. M.; Wallach, N. 5 2003 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 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 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 5 2009 Higher-order Sugawara operators for affine Lie algebras. Zbl 0676.17013Goodman, Roe; Wallach, Nolan R. 4 1989 Polarizations and nullcone of representations of reductive groups. Zbl 1223.20040Kraft, Hanspeter; Wallach, Nolan R. 4 2010 Resolvent and lattice points on symmetric spaces of strictly negative curvature. Zbl 0972.11094Bruggeman, R. W.; Miatello, R. J.; Wallach, N. R. 4 1999 Hereditary properties of direct summands of algebras. Zbl 0952.16005Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R. 4 1999 Classes of unitarizable derived functor modules. Zbl 0527.22007Enright, 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 0533.10025Wallach, Nolan R. 4 1984 Transfer of unitary representations between real forms. Zbl 0833.22021Wallach, Nolan R. 4 1994 Homogeneous positively pinched Riemannian manifolds. Zbl 0197.48003Wallach, N. R. 4 1970 Pfaffians of Toeplitz payoff matrices. Zbl 1418.15007Evans, 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 1406.22001Wallach, Nolan R. 1 2018 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. 2 2017 Ricci flow and curvature on the variety of flags on the two dimensional projective space over the complexes, quaternions and octonions. Zbl 1307.53052Cheung, Man-Wai; Wallach, Nolan R. 3 2015 On the Gelfand-Kirillov dimension of a discrete series representation. Zbl 1341.22005Wallach, Nolan R. 1 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 3 2012 On the Hilbert polynomials and Hilbert series of homogeneous projective varieties. Zbl 1310.14044Gross, Benedict H.; Wallach, Nolan R. 11 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 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. 195 2009 Homological connectivity of random \(k\)-dimensional complexes. Zbl 1177.55011Meshulam, R.; Wallach, N. 61 2009 Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. Zbl 1203.05009Garsia, 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 1256.22007Wallach, Nolan; Yacobi, Oded 5 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 51 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 2 2007 Gelfand-Zeitlin theory from the perspective of classical mechanics. I. Zbl 1099.14037Kostant, Bertram; Wallach, Nolan 35 2006 Gelfand-Zeitlin theory from the perspective of classical mechanics. II. Zbl 1099.14038Kostant, Bertram; Wallach, Nolan 23 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 Representations of \(SL_2\) and the distribution of points in \(\mathbb{P}^n\). Zbl 1129.13004Kuttler, J.; Wallach, N. 2 2004 A Pieri rule for Hermitian symmetric pairs. I. Zbl 1066.22013Enright, Thomas J.; Hunziker, Markus; Wallach, Nolan R. 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. 12 2003 Qsym over Sym is free. Zbl 1032.05139Garsia, A. M.; Wallach, N. 5 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. 68 2002 Invariants for multiple qubits: The case of 3 qubits. Zbl 1001.81005Meyer, David A.; Wallach, Noland 5 2002 An unentangled Gleason’s theorem. Zbl 1063.81038Wallach, Nolan R. 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. 169 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. 7 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 Hereditary properties of direct summands of algebras. Zbl 0952.16005Kraft, Hanspeter; Small, Lance W.; Wallach, Nolan R. 4 1999 Representations and invariants of the classical groups. Zbl 0901.22001Goodman, Roe; Wallach, Nolan R. 236 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. 36 1996 Dimensions of spaces of generalized spherical functions. Zbl 0856.22012Huang, Jing-Song; Oshima, Toshio; Wallach, Nolan 6 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. 21 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. 22 1993 Real reductive groups II. Zbl 0785.22001Wallach, Nolan R. 130 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. 12 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. 196 1988 Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals. Zbl 0714.17016Wallach, Nolan R. 10 1988 On the irreducibility and inequivalence of unitary representations of gauge groups. Zbl 0632.22014Wallach, Nolan R. 3 1987 A class of non-standard modules for affine Lie algebras. Zbl 0637.17011Wallach, Nolan R. 3 1987 Classical and quantum mechanical systems of Toda-lattice type. III: Joint eigenfunctions of the quantized systems. Zbl 0616.22010Goodman, Roe; Wallach, Nolan R. 12 1986 Projective unitary positive-energy representations of \(Diff(S^ 1)\). Zbl 0636.22013Goodman, Roe; Wallach, Nolan R. 40 1985 Unitary derived functor modules with small spectrum. Zbl 0568.22007Enright, 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 0514.22012Goodman, Roe; Wallach, Nolan R. 44 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. 22 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. 7 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 66 1983 Asymptotic expansions of generalized matrix entries of representations of real reductive groups. Zbl 0553.22005Wallach, Nolan R. 27 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. 42 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. 301 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. 41 1979 ...and 39 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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