Edit Profile (opens in new tab) Joseph, Anthony Compute Distance To: Compute Author ID: joseph.anthony Published as: Joseph, Anthony; Joseph, A. Homepage: http://www.weizmann.ac.il/math/joseph/home External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 138 Publications since 1970, including 2 Books 10 Contributions as Editor Biographic References: 6 Publications Co-Authors: 33 Co-Authors with 47 Joint Publications 648 Co-Co-Authors all top 5 Co-Authors 101 single-authored 8 Letzter, Gail 5 Fauquant-Millet, Florence 5 Kumar, Shrawan 5 Rentschler, Rudolf 5 Vergne, Michèle 4 Kostant, Bertram 4 Lamprou, Polyxeni 3 Melnikov, Anna 3 Mignot, Fulbert 3 Murat, François 3 Prum, Bernard 2 Gabber, Ofer 2 Heckenberger, István 2 Todorić, Dragana 1 Borho, Walter 1 Braverman, Alexander 1 Brodzik, Andrzej K. 1 Connes, Alain 1 Duflo, Michel 1 Enright, Thomas J. 1 Greenstein, Jacob 1 Hinich, Vladimir 1 Penkov, Ivan B. 1 Perets, Gadi Shimon 1 Polo, Patrick 1 Shafrir, Doron 1 Shnider, Steven 1 Small, Lance W. 1 Solomon, Allan I. 1 Stafford, J. Toby 1 Sullivan, Wayne G. 1 Tolimieri, Richard 1 Zelikson, Shmuel all top 5 Serials 27 Journal of Algebra 13 Transformation Groups 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Progress in Mathematics 5 Compositio Mathematica 5 Comptes Rendus de l’Académie des Sciences. Série I 4 American Journal of Mathematics 4 Bulletin des Sciences Mathématiques 4 Algebras and Representation Theory 3 Communications in Mathematical Physics 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Selecta Mathematica. New Series 3 Proceedings of the Cambridge Philosophical Society 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Journal of Mathematical Physics 2 Bulletin de la Société Mathématique de France 2 Journal of the London Mathematical Society. Second Series 2 Transactions of the American Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of the American Mathematical Society 1 Signal Processing 1 Mathematical Research Letters 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Israel Mathematical Conference Proceedings all top 5 Fields 133 Nonassociative rings and algebras (17-XX) 42 Associative rings and algebras (16-XX) 28 Topological groups, Lie groups (22-XX) 7 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 6 Algebraic geometry (14-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Group theory and generalizations (20-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 1,744 times in 912 Documents Cited by ▼ Year ▼ Quantum groups and their primitive ideals. Zbl 0808.17004Joseph, Anthony 224 1995 The minimal orbit in a simple Lie algebra and its associated maximal ideal. Zbl 0346.17008Joseph, A. 79 1976 On the variety of a highest weight module. Zbl 0539.17006Joseph, Anthony 59 1984 A preparation theorem for the prime spectrum of a semisimple Lie algebra. Zbl 0405.17007Joseph, A. 58 1977 Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II. Zbl 0441.17004Joseph, A. 53 1980 Local finiteness of the adjoint action for quantized enveloping algebras. Zbl 0779.17012Joseph, Anthony; Letzter, Gail 45 1992 On the Demazure character formula. Zbl 0589.22014Joseph, A. 43 1985 Kostant’s problem, Goldie rank and the Gelfand-Kirillov conjecture. Zbl 0446.17006Joseph, A. 41 1980 Towards the Kazhdan-Lusztig conjecture. Zbl 0476.17005Gabber, O.; Joseph, A. 41 1981 Separation of variables for quantized enveloping algebras. Zbl 0811.17007Joseph, Anthony; Letzter, Gail 41 1994 Minimal realizations and spectrum generating algebras. Zbl 0285.17007Joseph, A. 40 1974 On the associated variety of a primitive ideal. Zbl 0594.17009Joseph, Anthony 39 1985 Gelfand-Kirilllov dimension for the annihilators of simple quotients of Verma modules. Zbl 0401.17007Joseph, A. 39 1978 On semi-invariants and index for biparabolic (seaweed) algebras. I. Zbl 1183.17009Joseph, Anthony 32 2006 Dixmier’s problem for Verma and principal series submodules. Zbl 0421.17005Joseph, A. 31 1979 An additivity principle for Goldie rank. Zbl 0395.17010Joseph, A.; Small, L. W. 30 1978 On the prime and primitive spectra of the algebra of functions on a quantum group. Zbl 0814.17013Joseph, Anthony 27 1994 A generalization of Quillen’s lemma and its application to the Weyl algebras. Zbl 0366.17006Joseph, A. 24 1977 Semicentre of the enveloping algebra of a parabolic subalgebra of a semisimple Lie algebra. (Semi-centre de l’algèbre enveloppante d’une sous-algèbre parabolique d’une algèbre de Lie semi-simple.) Zbl 1158.17002Fauquant-Millet, Florence; Joseph, Anthony 24 2005 On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Zbl 0461.17004Gabber, O.; Joseph, A. 23 1981 On semi-invariants and index for biparabolic (seaweed) algebras. II. Zbl 1184.17008Joseph, Anthony 23 2007 Polynomiality of invariants, unimodularity and adapted pairs. Zbl 1275.17022Joseph, Anthony; Shafrir, Doron 23 2010 An intrinsic analysis of unitarizable highest weight modules. Zbl 0725.17009Enright, Thomas J.; Joseph, Anthony 21 1990 Proof of the Gelfand-Kirillov conjecture for solvable Lie algebras. Zbl 0293.17006Joseph, A. 21 1974 The Enright functor on the Bernstein-Gelfand-Gelfand category O. Zbl 0502.17006Joseph, A. 20 1982 A generalization of the Gelfand-Kirillov conjecture. Zbl 0378.17005Joseph, A. 20 1977 An algebraic slice in the coadjoint space of the Borel and the Coxeter element. Zbl 1251.17007Joseph, Anthony 17 2011 Towards the Jantzen conjecture. Zbl 0424.17004Joseph, A. 17 1980 Goldie rank in the enveloping algebra of a semisimple Lie algebra. III. Zbl 0482.17002Joseph, A. 16 1981 On the annihilators of the simple subquotients of the principal series. Zbl 0386.17004Joseph, A. 16 1977 Modules of \({\mathfrak k}\)-finite vectors over semi-simple Lie algebras. Zbl 0543.17004Joseph, A.; Stafford, J. T. 15 1984 The sum of the false degrees – a mystery in the theory of invariants. (La somme des faux degrés – un mystère en théorie des invariants.) Zbl 1183.17004Fauquant-Millet, Florence; Joseph, Anthony 15 2008 On a Harish-Chandra homomorphism. Zbl 1002.17007Joseph, Anthony 15 1997 Slices for biparabolic coadjoint actions in type A. Zbl 1151.17004Joseph, Anthony 15 2008 Derivations of Lie brackets and canonical quantisation. Zbl 0194.58402Joseph, A. 14 1970 Orbital varieties of the minimal orbit. Zbl 0908.17002Joseph, Anthony 13 1998 A wild automorphism of Usl(2). Zbl 0362.17008Joseph, A. 13 1976 The Weyl algebra-semisimple and nilpotent elements. Zbl 0316.16036Joseph, A. 13 1975 A surjectivity theorem for rigid highest weight modules. Zbl 0657.17004Joseph, Anthony 12 1988 Parabolic actions in type \(A\) and their eigenslices. Zbl 1232.17020Joseph, Anthony 12 2007 On the Brylinski-Kostant filtration. Zbl 0991.17006Joseph, Anthony; Letzter, Gail; Zelikson, Shmuel 12 2000 A characteristic variety for the primitive spectrum of a semisimple Lie algebra. Zbl 0374.17004Joseph, A. 12 1977 Second commutant theorems in enveloping algebras. Zbl 0378.17006Joseph, A. 12 1977 Enveloping algebras: Problems old and new. Zbl 0847.17007Joseph, Anthony 11 1994 Maximal Poisson commutative subalgebras for truncated parabolic subalgebras of maximal index in \(\mathfrak{sl}_n\). Zbl 1232.17019Joseph, A.; Lamprou, P. 11 2007 Verma module annihilators for quantized enveloping algebras. Zbl 0838.17011Joseph, Anthony; Letzter, Gail 10 1995 Faithfully flat embeddings for minimal primitive quotients of quantized enveloping algebras. Zbl 0853.17011Joseph, Anthony 10 1993 Towards the Jantzen conjecture. III. Zbl 0446.17005Joseph, A. 10 1980 A completion of the quantized enveloping algebra of a Kac-Moody algebra. Zbl 1042.17014Joseph, Anthony 10 1999 On the semi-invariants of a parabolic subalgebra of a quantized enveloping algebra. (Sur les semi-invariants d’une sous-algèbre parabolique d’une algèbre enveloppante quantifiée.) Zbl 1018.17008Fauquant Millet, F.; Joseph, A. 10 2001 Compatible adapted pairs and a common slice theorem for some centralizers. Zbl 1206.17011Joseph, Anthony 10 2008 The minimal realization from deformation theory. Zbl 0908.17006Braverman, Alexander; Joseph, Anthony 9 1998 Annihilators and associated varieties of unitary highest weight modules. Zbl 0752.17007Joseph, Anthony 9 1992 Towards the Jantzen conjecture. II. Zbl 0424.17005Joseph, A. 9 1980 On the characteristic polynomials of orbital varieties. Zbl 0695.17003Joseph, Anthony 9 1989 Commuting polynomials in quantum canonical operators and realizations of Lie algebras. Zbl 0238.17004Joseph, A. 9 1972 Gel’fand-Kirillov dimension for algebras associated with the Weyl algebra. Zbl 0287.16011Joseph, A. 9 1973 A Littelmann path model for crystals of generalized Kac-Moody algebras. Zbl 1194.17006Joseph, Anthony; Lamprou, Polyxeni 9 2009 On a conjecture of Feigin. (Sur une conjecture de Feigin.) Zbl 0847.17011Joseph, Anthony 8 1995 Modules with a Demazure flag. Zbl 1195.17010Joseph, Anthony 8 2006 On the Gel’fand-Kirillov conjecture for induced ideals in the semisimple case. Zbl 0407.17004Joseph, Anthony 8 1979 A sum rule for scale factors in the Goldie rank polynomials. Zbl 0699.17014Joseph, Anthony 8 1988 A decomposition theorem for Demazure crystals. Zbl 1100.17009Joseph, Anthony 8 2003 On the generic ideals of the algebra of functions on a quantum group. (Sur les idéaux génériques de l’algèbre des fonctions sur un groupe quantique.) Zbl 0837.17007Joseph, Anthony 7 1995 On the annihilator of a Verma module. (With ‘A survey of the annihilator theorem’ by M. Gorelik and E. Lanzmann). (Sur l’annulateur d’un module de Verma. (Avec un aperçu sur le théorème d’annulation de M. Gorelik et E. Lanzmann).) Zbl 0917.17003Joseph, Anthony 7 1998 On the mock Peter-Weyl theorem and the Drinfeld double of a double. Zbl 0910.17003Joseph, A. 7 1999 Some ring theoretic techniques and open problems in enveloping algebras. Zbl 0752.17008Joseph, Anthony 7 1992 Sheets and topology of primitive spectra for semisimple Lie algebras. Zbl 1078.17005Borho, Walter; Joseph, Anthony 7 2003 On the cyclicity of vectors associated with Duflo involutions. Zbl 0621.17006Joseph, Anthony 6 1987 Kostant’s problem and Goldie rank. Zbl 0468.17004Joseph, A. 6 1981 Orbital varieties, Goldie rank polynomials and unitary highest weight modules. Zbl 0914.17006Joseph, Anthony 6 1997 A slice theorem for truncated parabolics of index one and the Bézout equation. Zbl 1141.17007Joseph, Anthony 6 2007 Adapted pairs in type A and regular nilpotent elements. Zbl 1397.17014Fauquant-Millet, Florence; Joseph, Anthony 5 2016 On the quantum KPRV determinants for semisimple and affine Lie algebras. Zbl 1043.17008Joseph, Anthony; Todorić, Dragana 5 2002 Prime and primitive ideals of the algebra of functions on a quantum group. (Idéaux premiers et primitifs de l’algèbre des fonctions sur un groupe quantique.) Zbl 0784.17021Joseph, Anthony 5 1993 A pentagonal crystal, the golden section, alcove packing and aperiodic tilings. Zbl 1213.52017Joseph, Anthony 5 2009 Sur la classification des idéaux primitifs dans l’algèbre enveloppante d’une algèbre de Lie réductive. Zbl 0362.17007Joseph, Anthony 5 1977 Sur la classification des idéaux primitifs dans l’algèbre enveloppante de \(\text{sl}(n+1,\mathbb C)\). Zbl 0399.17002Joseph, Anthony 5 1978 W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra. Zbl 0422.17004Joseph, A. 5 1979 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. I: Injectivity and multiplicities. Zbl 1014.17010Joseph, Anthony 5 2001 A criterion for an ideal to be induced. Zbl 0632.17004Joseph, Anthony 4 1987 On the classification of primitive ideals in the enveloping algebra of a semisimple Lie algebra. Zbl 0518.17003Joseph, A. 4 1983 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. III: Computation of the KPRV determinants. Zbl 1014.17012Joseph, Anthony; Letzter, Gail; Todoric, Dragana 4 2001 Global and infinitesimal nonlinear chiral transformations. Zbl 0189.55201Joseph, A.; Solomon, A. I. 4 1970 Consequences of the Littelmann path theory for the structure of the Kashiwara \(B(\infty)\) crystal. Zbl 1250.17025Joseph, Anthony 4 2012 Rings which are modules in the Bernstein-Gelfand-Gelfand \(\mathcal O\) category. Zbl 0645.17005Joseph, Anthony 3 1988 Modules for relative Yangians (family algebras) and Kazhdan-Lusztig polynomials. Zbl 1351.17014Joseph, Anthony 3 2014 Evaluation of the quantum affine PRV determinants. Zbl 1019.17003Joseph, Anthony; Letzter, Gail 3 2002 The admissibility of simple bounded modules for an affine Lie algebra. Zbl 0977.17004Joseph, A. 3 2000 On the Beilinson and Bernstein equivalence of categories. (Sur l’équivalence de catégories de Beilinson et Bernstein.) Zbl 0748.14005Joseph, Anthony; Perets, Gadi S.; Polo, Patrick 3 1991 The primitive spectrum of an enveloping algebra. Zbl 0714.17011Joseph, Anthony 3 1989 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. II: Construction of the KPRV determinants. Zbl 1014.17011Joseph, Anthony; Letzter, Gail 3 2001 The enigma of the missing invariants on the nilradical of a Borel. Zbl 1077.17014Joseph, Anthony 3 2004 The hidden semi-invariants generators of an almost-Frobenius biparabolic. Zbl 1365.17004Joseph, Anthony 3 2014 A direct proof of a generalized Harish-Chandra isomorphism. Zbl 1303.17015Joseph, Anthony 3 2012 A new interpretation of the Catalan numbers arising in the theory of crystals. Zbl 1400.05280Joseph, Anthony; Lamprou, Polyxeni 3 2018 Primitive ideals in enveloping algebras. Zbl 0574.17007Joseph, A. 2 1984 On the left and right Brylinski-Kostant filtrations. Zbl 1209.17011Heckenberger, Istvan; Joseph, Anthony 2 2009 Rosso’s form and quantized Kac-Moody algebras. Zbl 0858.17011Joseph, Anthony; Letzter, Gail 2 1996 Coxeter structure and finite group action. Zbl 0891.17007Joseph, Anthony 2 1995 A new interpretation of the Catalan numbers arising in the theory of crystals. Zbl 1400.05280Joseph, Anthony; Lamprou, Polyxeni 3 2018 Dual Kashiwara functions for the \(B(\infty)\) crystal. Zbl 1459.17041Joseph, Anthony 2 2018 Convexity properties of the canonical \(S\)-graphs. Zbl 1393.05254Joseph, Anthony 1 2018 A preparation theorem for the Kashiwara \(B(\infty)\) crystal. Zbl 1418.17035Joseph, Anthony 2 2017 Adapted pairs in type A and regular nilpotent elements. Zbl 1397.17014Fauquant-Millet, Florence; Joseph, Anthony 5 2016 A substitution theorem for the Borcherds-Weyl semigroup. (Théorème de substitution pour le semi-groupe de Borcherds-Weyl.) Zbl 1405.17031Joseph, Anthony; Lamprou, Polyxeni 1 2016 The integrality of an adapted pair. Zbl 1344.17008Joseph, Anthony 1 2015 Modules for relative Yangians (family algebras) and Kazhdan-Lusztig polynomials. Zbl 1351.17014Joseph, Anthony 3 2014 The hidden semi-invariants generators of an almost-Frobenius biparabolic. Zbl 1365.17004Joseph, Anthony 3 2014 Some remarks on Weierstrass sections, adapted pairs and polynomiality. Zbl 1329.17024Joseph, Anthony 2 2013 Consequences of the Littelmann path theory for the structure of the Kashiwara \(B(\infty)\) crystal. Zbl 1250.17025Joseph, Anthony 4 2012 A direct proof of a generalized Harish-Chandra isomorphism. Zbl 1303.17015Joseph, Anthony 3 2012 Analogue Zhelobenko invariants, Bernstein-Gelfand-Gelfand operators and the Kostant Clifford algebra conjecture. Zbl 1342.17009Joseph, Anthony 2 2012 Zhelobenko invariants, Bernstein-Gelfand-Gelfand operators and the analogue Kostant Clifford algebra conjecture. Zbl 1342.17008Joseph, Anthony 1 2012 An algebraic slice in the coadjoint space of the Borel and the Coxeter element. Zbl 1251.17007Joseph, Anthony 17 2011 Slices for biparabolics of index 1. Zbl 1325.17004Joseph, Anthony; Fauquant-Millet, Florence 1 2011 Polynomiality of invariants, unimodularity and adapted pairs. Zbl 1275.17022Joseph, Anthony; Shafrir, Doron 23 2010 A Littelmann path model for crystals of generalized Kac-Moody algebras. Zbl 1194.17006Joseph, Anthony; Lamprou, Polyxeni 9 2009 A pentagonal crystal, the golden section, alcove packing and aperiodic tilings. Zbl 1213.52017Joseph, Anthony 5 2009 On the left and right Brylinski-Kostant filtrations. Zbl 1209.17011Heckenberger, Istvan; Joseph, Anthony 2 2009 The sum of the false degrees – a mystery in the theory of invariants. (La somme des faux degrés – un mystère en théorie des invariants.) Zbl 1183.17004Fauquant-Millet, Florence; Joseph, Anthony 15 2008 Slices for biparabolic coadjoint actions in type A. Zbl 1151.17004Joseph, Anthony 15 2008 Compatible adapted pairs and a common slice theorem for some centralizers. Zbl 1206.17011Joseph, Anthony 10 2008 On semi-invariants and index for biparabolic (seaweed) algebras. II. Zbl 1184.17008Joseph, Anthony 23 2007 Parabolic actions in type \(A\) and their eigenslices. Zbl 1232.17020Joseph, Anthony 12 2007 Maximal Poisson commutative subalgebras for truncated parabolic subalgebras of maximal index in \(\mathfrak{sl}_n\). Zbl 1232.17019Joseph, A.; Lamprou, P. 11 2007 A slice theorem for truncated parabolics of index one and the Bézout equation. Zbl 1141.17007Joseph, Anthony 6 2007 On semi-invariants and index for biparabolic (seaweed) algebras. I. Zbl 1183.17009Joseph, Anthony 32 2006 Modules with a Demazure flag. Zbl 1195.17010Joseph, Anthony 8 2006 Results and problems in enveloping algebras arising from quantum groups. Zbl 1117.17003Joseph, Anthony 1 2006 Semicentre of the enveloping algebra of a parabolic subalgebra of a semisimple Lie algebra. (Semi-centre de l’algèbre enveloppante d’une sous-algèbre parabolique d’une algèbre de Lie semi-simple.) Zbl 1158.17002Fauquant-Millet, Florence; Joseph, Anthony 24 2005 Orbital variety closures and the convolution product in Borel-Moore homology. Zbl 1147.17304Hinich, Vladimir; Joseph, Anthony 1 2005 The enigma of the missing invariants on the nilradical of a Borel. Zbl 1077.17014Joseph, Anthony 3 2004 A decomposition theorem for Demazure crystals. Zbl 1100.17009Joseph, Anthony 8 2003 Sheets and topology of primitive spectra for semisimple Lie algebras. Zbl 1078.17005Borho, Walter; Joseph, Anthony 7 2003 On the graded injectivity of the Conze embedding. Zbl 1023.17004Joseph, Anthony 2 2003 Quantization of hypersurface orbital varieties in \({\mathfrak{sl}}_n\). Zbl 1082.17007Joseph, Anthony; Melnikov, Anna 2 2003 On the quantum KPRV determinants for semisimple and affine Lie algebras. Zbl 1043.17008Joseph, Anthony; Todorić, Dragana 5 2002 Evaluation of the quantum affine PRV determinants. Zbl 1019.17003Joseph, Anthony; Letzter, Gail 3 2002 On the semi-invariants of a parabolic subalgebra of a quantized enveloping algebra. (Sur les semi-invariants d’une sous-algèbre parabolique d’une algèbre enveloppante quantifiée.) Zbl 1018.17008Fauquant Millet, F.; Joseph, A. 10 2001 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. I: Injectivity and multiplicities. Zbl 1014.17010Joseph, Anthony 5 2001 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. III: Computation of the KPRV determinants. Zbl 1014.17012Joseph, Anthony; Letzter, Gail; Todoric, Dragana 4 2001 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. II: Construction of the KPRV determinants. Zbl 1014.17011Joseph, Anthony; Letzter, Gail 3 2001 Under-sampled Weyl-Heisenberg expansions via orthogonal projections in Zak space. Zbl 0985.94011Joseph, Anthony; Brodzik, A. K.; Tolimieri, R. 1 2001 On an affine quantum KPRV determinant at \(q=1\). Zbl 1055.17005Joseph, Anthony 1 2001 A Chevalley-Kostant presentation of basic modules for \(\widetilde {{\mathfrak {sl}}(2)}\) and the associated affine KPRV determinants at \(q=1\). Zbl 0970.17006Greenstein, Jacob; Joseph, Anthony 1 2001 On the Brylinski-Kostant filtration. Zbl 0991.17006Joseph, Anthony; Letzter, Gail; Zelikson, Shmuel 12 2000 The admissibility of simple bounded modules for an affine Lie algebra. Zbl 0977.17004Joseph, A. 3 2000 A completion of the quantized enveloping algebra of a Kac-Moody algebra. Zbl 1042.17014Joseph, Anthony 10 1999 On the mock Peter-Weyl theorem and the Drinfeld double of a double. Zbl 0910.17003Joseph, A. 7 1999 Orbital varieties of the minimal orbit. Zbl 0908.17002Joseph, Anthony 13 1998 The minimal realization from deformation theory. Zbl 0908.17006Braverman, Alexander; Joseph, Anthony 9 1998 On the annihilator of a Verma module. (With ‘A survey of the annihilator theorem’ by M. Gorelik and E. Lanzmann). (Sur l’annulateur d’un module de Verma. (Avec un aperçu sur le théorème d’annulation de M. Gorelik et E. Lanzmann).) Zbl 0917.17003Joseph, Anthony 7 1998 On a Harish-Chandra homomorphism. Zbl 1002.17007Joseph, Anthony 15 1997 Orbital varieties, Goldie rank polynomials and unitary highest weight modules. Zbl 0914.17006Joseph, Anthony 6 1997 Rosso’s form and quantized Kac-Moody algebras. Zbl 0858.17011Joseph, Anthony; Letzter, Gail 2 1996 Some remarks on the \(R\)-matrix. Zbl 0856.17012Joseph, Anthony 1 1996 Quantum groups and their primitive ideals. Zbl 0808.17004Joseph, Anthony 224 1995 Verma module annihilators for quantized enveloping algebras. Zbl 0838.17011Joseph, Anthony; Letzter, Gail 10 1995 On a conjecture of Feigin. (Sur une conjecture de Feigin.) Zbl 0847.17011Joseph, Anthony 8 1995 On the generic ideals of the algebra of functions on a quantum group. (Sur les idéaux génériques de l’algèbre des fonctions sur un groupe quantique.) Zbl 0837.17007Joseph, Anthony 7 1995 Coxeter structure and finite group action. Zbl 0891.17007Joseph, Anthony 2 1995 Separation of variables for quantized enveloping algebras. Zbl 0811.17007Joseph, Anthony; Letzter, Gail 41 1994 On the prime and primitive spectra of the algebra of functions on a quantum group. Zbl 0814.17013Joseph, Anthony 27 1994 Enveloping algebras: Problems old and new. Zbl 0847.17007Joseph, Anthony 11 1994 Faithfully flat embeddings for minimal primitive quotients of quantized enveloping algebras. Zbl 0853.17011Joseph, Anthony 10 1993 Prime and primitive ideals of the algebra of functions on a quantum group. (Idéaux premiers et primitifs de l’algèbre des fonctions sur un groupe quantique.) Zbl 0784.17021Joseph, Anthony 5 1993 Local finiteness of the adjoint action for quantized enveloping algebras. Zbl 0779.17012Joseph, Anthony; Letzter, Gail 45 1992 Annihilators and associated varieties of unitary highest weight modules. Zbl 0752.17007Joseph, Anthony 9 1992 Some ring theoretic techniques and open problems in enveloping algebras. Zbl 0752.17008Joseph, Anthony 7 1992 On the Beilinson and Bernstein equivalence of categories. (Sur l’équivalence de catégories de Beilinson et Bernstein.) Zbl 0748.14005Joseph, Anthony; Perets, Gadi S.; Polo, Patrick 3 1991 An intrinsic analysis of unitarizable highest weight modules. Zbl 0725.17009Enright, Thomas J.; Joseph, Anthony 21 1990 The surjectivity theorem, characteristic polynomials and induced ideals. Zbl 0738.17006Joseph, Anthony 1 1990 Characters for unipotent representations. Zbl 0695.22006Joseph, Anthony 1 1990 On the characteristic polynomials of orbital varieties. Zbl 0695.17003Joseph, Anthony 9 1989 The primitive spectrum of an enveloping algebra. Zbl 0714.17011Joseph, Anthony 3 1989 Multiplicity of the adjoint representation in simple quotients of the enveloping algebra of a simple Lie algebra. Zbl 0676.17009Joseph, Anthony 1 1989 Multiplicity of the adjoint representation in simple quotients of the enveloping algebra of a simple Lie algebra. Zbl 0696.17007Joseph, Anthony 1 1989 A surjectivity theorem for rigid highest weight modules. Zbl 0657.17004Joseph, Anthony 12 1988 A sum rule for scale factors in the Goldie rank polynomials. Zbl 0699.17014Joseph, Anthony 8 1988 Rings which are modules in the Bernstein-Gelfand-Gelfand \(\mathcal O\) category. Zbl 0645.17005Joseph, Anthony 3 1988 A sum rule for scale factors in the Goldie rank polynomials (Addendum). Zbl 0699.17015Joseph, Anthony 2 1988 On the cyclicity of vectors associated with Duflo involutions. Zbl 0621.17006Joseph, Anthony 6 1987 A criterion for an ideal to be induced. Zbl 0632.17004Joseph, Anthony 4 1987 On the Demazure character formula. II: Generic homologies. Zbl 0595.22014Joseph, Anthony 1 1986 On the Demazure character formula. Zbl 0589.22014Joseph, A. 43 1985 On the associated variety of a primitive ideal. Zbl 0594.17009Joseph, Anthony 39 1985 On the variety of a highest weight module. Zbl 0539.17006Joseph, Anthony 59 1984 Modules of \({\mathfrak k}\)-finite vectors over semi-simple Lie algebras. Zbl 0543.17004Joseph, A.; Stafford, J. T. 15 1984 Primitive ideals in enveloping algebras. Zbl 0574.17007Joseph, A. 2 1984 On the classification of primitive ideals in the enveloping algebra of a semisimple Lie algebra. Zbl 0518.17003Joseph, A. 4 1983 Completion functors in the Q category. Zbl 0518.17004Joseph, A. 1 1983 The Enright functor on the Bernstein-Gelfand-Gelfand category O. Zbl 0502.17006Joseph, A. 20 1982 Towards the Kazhdan-Lusztig conjecture. Zbl 0476.17005Gabber, O.; Joseph, A. 41 1981 On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Zbl 0461.17004Gabber, O.; Joseph, A. 23 1981 Goldie rank in the enveloping algebra of a semisimple Lie algebra. III. Zbl 0482.17002Joseph, A. 16 1981 Kostant’s problem and Goldie rank. Zbl 0468.17004Joseph, A. 6 1981 Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II. Zbl 0441.17004Joseph, A. 53 1980 Kostant’s problem, Goldie rank and the Gelfand-Kirillov conjecture. Zbl 0446.17006Joseph, A. 41 1980 Towards the Jantzen conjecture. Zbl 0424.17004Joseph, A. 17 1980 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 717 Authors 80 Joseph, Anthony 13 Bavula, Vladimir V. 13 Panyushev, Dmitri Ivanovich 12 Goodearl, Kenneth R. 12 Letzter, Gail 12 Yakimov, Milen T. 11 Fauquant-Millet, Florence 11 Mazorchuk, Volodymyr 11 Ooms, Alfons I. 9 Borho, Walter 9 Kolb, Stefan 9 Letzter, Edward S. 9 Levasseur, Thierry 9 McGovern, William Montgomery 8 Brown, Kenneth Alexander 8 Gorelik, Maria 8 Greenstein, Jacob 8 Günaydin, Murat 8 Heckenberger, István 8 Melnikov, Anna 8 Smith, S. Paul 8 Yakimova, Oksana S. 7 Berenstein, Arkady 7 Coll, Vincent E. jun. 7 Lamprou, Polyxeni 7 Petukhov, Alexey V. 7 Stafford, J. Toby 7 Vogan, David Alexander jun. 6 Alev, Jacques 6 Andersen, Henning Haahr 6 Enright, Thomas J. 6 Futorny, Vyacheslav M. 6 Premet, Alexander A. 6 Sagaki, Daisuke 6 Sahi, Siddhartha 6 Stroppel, Catharina H. 6 Tanisaki, Toshiyuki 5 Chari, Vyjayanthi 5 Coulembier, Kevin 5 De Commer, Kenny 5 Feigin, Evgeny 5 Fernando, Sudarshan 5 Havlíček, Miloslav 5 Hodges, Timothy J. 5 Kato, Syu 5 Lenagan, Thomas H. 5 Littelmann, Peter 5 Losev, Ivan V. 5 Mathieu, Olivier 5 Matumoto, Hisayosi 5 Mayers, Nicholas W. 5 Moreau, Anne 5 Naito, Satoshi 5 Serganova, Vera V. 5 Tauvel, Patrice 5 Van den Bergh, Michel 5 Zhang, James J. 4 Backelin, Erik 4 Bai, Zhanqiang 4 Barbasch, Dan M. 4 Barchini, Leticia 4 Biswal, Rekha 4 Boe, Brian Douglas 4 Caldero, Philippe 4 Chen, Chih-Whi 4 Collingwood, David H. 4 Finkelberg, Michael Vladlenovich 4 Ginzburg, Victor 4 Gourevitch, Dmitry 4 Jordan, David Andrew 4 Kobayashi, Toshiyuki 4 Launois, Stéphane 4 Musson, Ian M. 4 Oh, Sei-Qwon 4 Penkov, Ivan B. 4 Polo, Patrick 4 Rentschler, Rudolf 4 Trapa, Peter E. 4 Yu, Rupert Wei Tze 4 Zierau, Roger 3 Arakawa, Tomoyuki 3 Braverman, Alexander 3 Brylinski, Jean-Luc 3 Cahen, Benjamin 3 Carlin, Kevin J. 3 Casian, Luis G. 3 Cauchon, Gerard 3 Charbonnel, Jean-Yves 3 Cherednik, Ivan V. 3 Deng, Bangming 3 Douglass, J. Matthew 3 Duflo, Michel 3 Dumas, François 3 Dupré, Nicolas 3 Fang, Xin 3 Frahm, Jan 3 Fresse, Lucas 3 Gaddis, Jason 3 Garfinkle, Devra 3 Goodwin, Simon M. ...and 617 more Authors all top 5 Cited in 119 Serials 177 Journal of Algebra 69 Advances in Mathematics 52 Communications in Algebra 35 Transactions of the American Mathematical Society 33 Transformation Groups 30 Compositio Mathematica 26 Inventiones Mathematicae 25 Algebras and Representation Theory 24 Mathematische Zeitschrift 23 Duke Mathematical Journal 22 Representation Theory 21 Communications in Mathematical Physics 17 Journal of Mathematical Physics 17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 16 Journal of Pure and Applied Algebra 14 Selecta Mathematica. New Series 13 Mathematische Annalen 12 Israel Journal of Mathematics 12 Annales de l’Institut Fourier 12 Journal of High Energy Physics 10 Proceedings of the American Mathematical Society 9 Bulletin des Sciences Mathématiques 7 Journal of Geometry and Physics 7 Journal of Algebraic Combinatorics 7 Journal of Mathematical Sciences (New York) 7 Journal of Algebra and its Applications 6 Bulletin de la Société Mathématique de France 6 Journal of Combinatorial Theory. Series A 6 Journal of Functional Analysis 6 Journal of the American Mathematical Society 5 Functional Analysis and its Applications 5 Journal of Soviet Mathematics 5 Journal of the European Mathematical Society (JEMS) 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Theoretical Physics 4 Letters in Mathematical Physics 4 Nuclear Physics. B 4 Theoretical and Mathematical Physics 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 4 Glasgow Mathematical Journal 4 Journal of Number Theory 4 Journal für die Reine und Angewandte Mathematik 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Journal of Lie Theory 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Nagoya Mathematical Journal 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Tohoku Mathematical Journal. Second Series 3 Journal of Nonlinear Mathematical Physics 2 International Journal of Modern Physics A 2 Bulletin of the Australian Mathematical Society 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Canadian Journal of Mathematics 2 Journal of the Mathematical Society of Japan 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 European Journal of Combinatorics 2 Acta Applicandae Mathematicae 2 Differential Geometry and its Applications 2 IMRN. International Mathematics Research Notices 2 Indagationes Mathematicae. New Series 2 St. Petersburg Mathematical Journal 2 The Electronic Journal of Combinatorics 2 Izvestiya: Mathematics 2 Annals of Mathematics. Second Series 2 Journal of the Institute of Mathematics of Jussieu 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Noncommutative Geometry 2 São Paulo Journal of Mathematical Sciences 2 Science China. Mathematics 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Symmetry 2 Forum of Mathematics, Sigma 2 Algebraic Combinatorics 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Moscow University Mathematics Bulletin 1 Physics Letters. B 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Stochastics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Canadian Mathematical Bulletin 1 Geometriae Dedicata 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the Moscow Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Circuits, Systems, and Signal Processing 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics ...and 19 more Serials all top 5 Cited in 37 Fields 654 Nonassociative rings and algebras (17-XX) 290 Associative rings and algebras (16-XX) 187 Topological groups, Lie groups (22-XX) 144 Group theory and generalizations (20-XX) 130 Algebraic geometry (14-XX) 75 Quantum theory (81-XX) 67 Combinatorics (05-XX) 38 Differential geometry (53-XX) 26 Global analysis, analysis on manifolds (58-XX) 24 Category theory; homological algebra (18-XX) 23 Commutative algebra (13-XX) 19 Number theory (11-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Relativity and gravitational theory (83-XX) 11 Special functions (33-XX) 10 Abstract harmonic analysis (43-XX) 10 Manifolds and cell complexes (57-XX) 9 Functional analysis (46-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of particles and systems (70-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Partial differential equations (35-XX) 4 \(K\)-theory (19-XX) 4 Algebraic topology (55-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Convex and discrete geometry (52-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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