Edit Profile (opens in new tab) Joseph, Anthony Co-Author Distance 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: 145 Publications since 1970, including 1 Book and 4 Additional arXiv Preprints 12 Contributions as Editor Biographic References: 6 Publications Co-Authors: 32 Co-Authors with 49 Joint Publications 678 Co-Co-Authors all top 5 Co-Authors 104 single-authored 8 Letzter, Gail 6 Fauquant-Millet, Florence 6 Kumar, Shrawan 6 Vergne, Michèle 5 Kostant, Bertram 5 Rentschler, Rudolf 4 Fittouhi, Yasmine 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 29 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 Journal of Algebraic Combinatorics 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 140 Nonassociative rings and algebras (17-XX) 42 Associative rings and algebras (16-XX) 29 Topological groups, Lie groups (22-XX) 9 Combinatorics (05-XX) 7 General and overarching topics; collections (00-XX) 6 Algebraic geometry (14-XX) 5 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 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 133 Publications have been cited 1,906 times in 999 Documents Cited by ▼ Year ▼ Quantum groups and their primitive ideals. Zbl 0808.17004 Joseph, Anthony 244 1995 The minimal orbit in a simple Lie algebra and its associated maximal ideal. Zbl 0346.17008 Joseph, A. 87 1976 Goldie rank in the enveloping algebra of a semisimple Lie algebra. I, II. Zbl 0441.17004 Joseph, A. 66 1980 On the variety of a highest weight module. Zbl 0539.17006 Joseph, Anthony 63 1984 A preparation theorem for the prime spectrum of a semisimple Lie algebra. Zbl 0405.17007 Joseph, A. 62 1977 On the Demazure character formula. Zbl 0589.22014 Joseph, A. 49 1985 Local finiteness of the adjoint action for quantized enveloping algebras. Zbl 0779.17012 Joseph, Anthony; Letzter, Gail 46 1992 On the associated variety of a primitive ideal. Zbl 0594.17009 Joseph, Anthony 45 1985 Gelfand-Kirilllov dimension for the annihilators of simple quotients of Verma modules. Zbl 0401.17007 Joseph, A. 43 1978 Kostant’s problem, Goldie rank and the Gelfand-Kirillov conjecture. Zbl 0446.17006 Joseph, A. 43 1980 Towards the Kazhdan-Lusztig conjecture. Zbl 0476.17005 Gabber, O.; Joseph, A. 43 1981 Minimal realizations and spectrum generating algebras. Zbl 0285.17007 Joseph, A. 42 1974 Separation of variables for quantized enveloping algebras. Zbl 0811.17007 Joseph, Anthony; Letzter, Gail 42 1994 On semi-invariants and index for biparabolic (seaweed) algebras. I. Zbl 1183.17009 Joseph, Anthony 36 2006 Dixmier’s problem for Verma and principal series submodules. Zbl 0421.17005 Joseph, A. 33 1979 An additivity principle for Goldie rank. Zbl 0395.17010 Joseph, A.; Small, L. W. 30 1978 On the prime and primitive spectra of the algebra of functions on a quantum group. Zbl 0814.17013 Joseph, Anthony 28 1994 Polynomiality of invariants, unimodularity and adapted pairs. Zbl 1275.17022 Joseph, Anthony; Shafrir, Doron 27 2010 An intrinsic analysis of unitarizable highest weight modules. Zbl 0725.17009 Enright, Thomas J.; Joseph, Anthony 26 1990 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 1158.17002 Fauquant-Millet, Florence; Joseph, Anthony 25 2005 A generalization of Quillen’s lemma and its application to the Weyl algebras. Zbl 0366.17006 Joseph, A. 25 1977 On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Zbl 0461.17004 Gabber, O.; Joseph, A. 25 1981 On semi-invariants and index for biparabolic (seaweed) algebras. II. Zbl 1184.17008 Joseph, Anthony 23 2007 The Enright functor on the Bernstein-Gelfand-Gelfand category O. Zbl 0502.17006 Joseph, A. 21 1982 Proof of the Gelfand-Kirillov conjecture for solvable Lie algebras. Zbl 0293.17006 Joseph, A. 21 1974 A generalization of the Gelfand-Kirillov conjecture. Zbl 0378.17005 Joseph, A. 21 1977 An algebraic slice in the coadjoint space of the Borel and the Coxeter element. Zbl 1251.17007 Joseph, Anthony 20 2011 Slices for biparabolic coadjoint actions in type A. Zbl 1151.17004 Joseph, Anthony 18 2008 On a Harish-Chandra homomorphism. Zbl 1002.17007 Joseph, Anthony 17 1997 On the annihilators of the simple subquotients of the principal series. Zbl 0386.17004 Joseph, A. 17 1977 Towards the Jantzen conjecture. Zbl 0424.17004 Joseph, A. 17 1980 Goldie rank in the enveloping algebra of a semisimple Lie algebra. III. Zbl 0482.17002 Joseph, A. 16 1981 A wild automorphism of \(\mathrm{Usl}(2)\). Zbl 0362.17008 Joseph, A. 16 1976 Derivations of Lie brackets and canonical quantisation. Zbl 0194.58402 Joseph, A. 16 1970 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 1183.17004 Fauquant-Millet, Florence; Joseph, Anthony 15 2008 Modules of \(\mathfrak k\)-finite vectors over semi-simple Lie algebras. Zbl 0543.17004 Joseph, A.; Stafford, J. T. 15 1984 On the Brylinski-Kostant filtration. Zbl 0991.17006 Joseph, Anthony; Letzter, Gail; Zelikson, Shmuel 14 2000 Orbital varieties of the minimal orbit. Zbl 0908.17002 Joseph, Anthony 14 1998 A characteristic variety for the primitive spectrum of a semisimple Lie algebra. Zbl 0374.17004 Joseph, A. 14 1977 The Weyl algebra-semisimple and nilpotent elements. Zbl 0316.16036 Joseph, A. 13 1975 Second commutant theorems in enveloping algebras. Zbl 0378.17006 Joseph, A. 13 1977 W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra. Zbl 0422.17004 Joseph, A. 13 1979 A decomposition theorem for Demazure crystals. Zbl 1100.17009 Joseph, Anthony 13 2003 A surjectivity theorem for rigid highest weight modules. Zbl 0657.17004 Joseph, Anthony 12 1988 Compatible adapted pairs and a common slice theorem for some centralizers. Zbl 1206.17011 Joseph, Anthony 12 2008 Parabolic actions in type \(A\) and their eigenslices. Zbl 1232.17020 Joseph, Anthony 12 2007 Maximal Poisson commutative subalgebras for truncated parabolic subalgebras of maximal index in \(\mathfrak{sl}_n\). Zbl 1232.17019 Joseph, A.; Lamprou, P. 12 2007 The minimal realization from deformation theory. Zbl 0908.17006 Braverman, Alexander; Joseph, Anthony 11 1998 Verma module annihilators for quantized enveloping algebras. Zbl 0838.17011 Joseph, Anthony; Letzter, Gail 11 1995 Enveloping algebras: Problems old and new. Zbl 0847.17007 Joseph, Anthony 11 1994 Faithfully flat embeddings for minimal primitive quotients of quantized enveloping algebras. Zbl 0853.17011 Joseph, Anthony 10 1993 A Littelmann path model for crystals of generalized Kac-Moody algebras. Zbl 1194.17006 Joseph, Anthony; Lamprou, Polyxeni 10 2009 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 1018.17008 Fauquant Millet, F.; Joseph, A. 10 2001 A completion of the quantized enveloping algebra of a Kac-Moody algebra. Zbl 1042.17014 Joseph, Anthony 10 1999 On the characteristic polynomials of orbital varieties. Zbl 0695.17003 Joseph, Anthony 10 1989 Towards the Jantzen conjecture. III. Zbl 0446.17005 Joseph, A. 10 1980 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 0917.17003 Joseph, Anthony 9 1998 Commuting polynomials in quantum canonical operators and realizations of Lie algebras. Zbl 0238.17004 Joseph, A. 9 1972 Gel’fand-Kirillov dimension for algebras associated with the Weyl algebra. Zbl 0287.16011 Joseph, A. 9 1973 Modules with a Demazure flag. Zbl 1195.17010 Joseph, Anthony 9 2006 Annihilators and associated varieties of unitary highest weight modules. Zbl 0752.17007 Joseph, Anthony 9 1992 Towards the Jantzen conjecture. II. Zbl 0424.17005 Joseph, A. 9 1980 On a conjecture of Feigin. (Sur une conjecture de Feigin.) Zbl 0847.17011 Joseph, Anthony 8 1995 Kostant’s problem and Goldie rank. Zbl 0468.17004 Joseph, A. 8 1981 A sum rule for scale factors in the Goldie rank polynomials. Zbl 0699.17014 Joseph, Anthony 8 1988 On the Gel’fand-Kirillov conjecture for induced ideals in the semisimple case. Zbl 0407.17004 Joseph, Anthony 8 1979 Orbital varieties, Goldie rank polynomials and unitary highest weight modules. Zbl 0914.17006 Joseph, Anthony 7 1997 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 0837.17007 Joseph, Anthony 7 1995 On the mock Peter-Weyl theorem and the Drinfeld double of a double. Zbl 0910.17003 Joseph, A. 7 1999 Sheets and topology of primitive spectra for semisimple Lie algebras. Zbl 1078.17005 Borho, Walter; Joseph, Anthony 7 2003 Some ring theoretic techniques and open problems in enveloping algebras. Zbl 0752.17008 Joseph, Anthony 7 1992 A slice theorem for truncated parabolics of index one and the Bézout equation. Zbl 1141.17007 Joseph, Anthony 6 2007 On the cyclicity of vectors associated with Duflo involutions. Zbl 0621.17006 Joseph, Anthony 6 1987 Adapted pairs in type A and regular nilpotent elements. Zbl 1397.17014 Fauquant-Millet, Florence; Joseph, Anthony 6 2016 Consequences of the Littelmann path theory for the structure of the Kashiwara \(B(\infty)\) crystal. Zbl 1250.17025 Joseph, Anthony 5 2012 Sur la classification des idéaux primitifs dans l’algèbre enveloppante d’une algèbre de Lie réductive. Zbl 0362.17007 Joseph, Anthony 5 1977 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. I: Injectivity and multiplicities. Zbl 1014.17010 Joseph, Anthony 5 2001 On the quantum KPRV determinants for semisimple and affine Lie algebras. Zbl 1043.17008 Joseph, Anthony; Todorić, Dragana 5 2002 A pentagonal crystal, the golden section, alcove packing and aperiodic tilings. Zbl 1213.52017 Joseph, Anthony 5 2009 Quantization of hypersurface orbital varieties in \({\mathfrak{sl}}_n\). Zbl 1082.17007 Joseph, Anthony; Melnikov, Anna 5 2003 Sur la classification des idéaux primitifs dans l’algèbre enveloppante de \(\text{sl}(n+1,\mathbb C)\). Zbl 0399.17002 Joseph, Anthony 5 1978 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 0784.17021 Joseph, Anthony 5 1993 A criterion for an ideal to be induced. Zbl 0632.17004 Joseph, Anthony 4 1987 On the classification of primitive ideals in the enveloping algebra of a semisimple Lie algebra. Zbl 0518.17003 Joseph, A. 4 1983 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. III: Computation of the KPRV determinants. Zbl 1014.17012 Joseph, Anthony; Letzter, Gail; Todoric, Dragana 4 2001 Global and infinitesimal nonlinear chiral transformations. Zbl 0189.55201 Joseph, A.; Solomon, A. I. 4 1970 Rosso’s form and quantized Kac-Moody algebras. Zbl 0858.17011 Joseph, Anthony; Letzter, Gail 4 1996 The hidden semi-invariants generators of an almost-Frobenius biparabolic. Zbl 1365.17004 Joseph, Anthony 4 2014 Weierstrass sections for parabolic adjoint action in type \(A\). Zbl 07638305 Fittouhi, Yasmine; Joseph, Anthony 4 2023 A new interpretation of the Catalan numbers arising in the theory of crystals. Zbl 1400.05280 Joseph, Anthony; Lamprou, Polyxeni 4 2018 Rings which are modules in the Bernstein-Gelfand-Gelfand \(\mathcal O\) category. Zbl 0645.17005 Joseph, Anthony 3 1988 The admissibility of simple bounded modules for an affine Lie algebra. Zbl 0977.17004 Joseph, A. 3 2000 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. II: Construction of the KPRV determinants. Zbl 1014.17011 Joseph, Anthony; Letzter, Gail 3 2001 Primitive ideals in enveloping algebras. Zbl 0574.17007 Joseph, A. 3 1984 The enigma of the missing invariants on the nilradical of a Borel. Zbl 1077.17014 Joseph, Anthony 3 2004 The primitive spectrum of an enveloping algebra. Zbl 0714.17011 Joseph, Anthony 3 1989 On the Beilinson and Bernstein equivalence of categories. (Sur l’équivalence de catégories de Beilinson et Bernstein.) Zbl 0748.14005 Joseph, Anthony; Perets, Gadi S.; Polo, Patrick 3 1991 Modules for relative Yangians (family algebras) and Kazhdan-Lusztig polynomials. Zbl 1351.17014 Joseph, Anthony 3 2014 The integrality of an adapted pair. Zbl 1344.17008 Joseph, Anthony 3 2015 A preparation theorem for the Kashiwara \(B(\infty)\) crystal. Zbl 1418.17035 Joseph, Anthony 3 2017 Weierstrass sections for parabolic adjoint action in type \(A\). Zbl 07638305 Fittouhi, Yasmine; Joseph, Anthony 4 2023 The composition tableau and reconstruction of the canonical Weierstrass section for parabolic adjoint action in type \(A\). Zbl 07710350 Fittouhi, Yasmine; Joseph, Anthony 1 2023 A new interpretation of the Catalan numbers arising in the theory of crystals. Zbl 1400.05280 Joseph, Anthony; Lamprou, Polyxeni 4 2018 Dual Kashiwara functions for the \(B(\infty)\) crystal. Zbl 1459.17041 Joseph, Anthony 3 2018 Trails for minuscule modules and dual Kashiwara functions for the \(B(\infty)\) crystal. Zbl 1409.17012 Joseph, Anthony 2 2018 Convexity properties of the canonical \(S\)-graphs. Zbl 1393.05254 Joseph, Anthony 2 2018 A preparation theorem for the Kashiwara \(B(\infty)\) crystal. Zbl 1418.17035 Joseph, Anthony 3 2017 Adapted pairs in type A and regular nilpotent elements. Zbl 1397.17014 Fauquant-Millet, Florence; Joseph, Anthony 6 2016 A substitution theorem for the Borcherds-Weyl semigroup. (Théorème de substitution pour le semi-groupe de Borcherds-Weyl.) Zbl 1405.17031 Joseph, Anthony; Lamprou, Polyxeni 1 2016 The integrality of an adapted pair. Zbl 1344.17008 Joseph, Anthony 3 2015 The hidden semi-invariants generators of an almost-Frobenius biparabolic. Zbl 1365.17004 Joseph, Anthony 4 2014 Modules for relative Yangians (family algebras) and Kazhdan-Lusztig polynomials. Zbl 1351.17014 Joseph, Anthony 3 2014 Some remarks on Weierstrass sections, adapted pairs and polynomiality. Zbl 1329.17024 Joseph, Anthony 3 2013 Consequences of the Littelmann path theory for the structure of the Kashiwara \(B(\infty)\) crystal. Zbl 1250.17025 Joseph, Anthony 5 2012 A direct proof of a generalized Harish-Chandra isomorphism. Zbl 1303.17015 Joseph, Anthony 3 2012 Analogue Zhelobenko invariants, Bernstein-Gelfand-Gelfand operators and the Kostant Clifford algebra conjecture. Zbl 1342.17009 Joseph, Anthony 3 2012 Zhelobenko invariants, Bernstein-Gelfand-Gelfand operators and the analogue Kostant Clifford algebra conjecture. Zbl 1342.17008 Joseph, Anthony 1 2012 An algebraic slice in the coadjoint space of the Borel and the Coxeter element. Zbl 1251.17007 Joseph, Anthony 20 2011 Slices for biparabolics of index 1. Zbl 1325.17004 Joseph, Anthony; Fauquant-Millet, Florence 1 2011 Polynomiality of invariants, unimodularity and adapted pairs. Zbl 1275.17022 Joseph, Anthony; Shafrir, Doron 27 2010 A Littelmann path model for crystals of generalized Kac-Moody algebras. Zbl 1194.17006 Joseph, Anthony; Lamprou, Polyxeni 10 2009 A pentagonal crystal, the golden section, alcove packing and aperiodic tilings. Zbl 1213.52017 Joseph, Anthony 5 2009 On the left and right Brylinski-Kostant filtrations. Zbl 1209.17011 Heckenberger, Istvan; Joseph, Anthony 2 2009 Slices for biparabolic coadjoint actions in type A. Zbl 1151.17004 Joseph, Anthony 18 2008 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 1183.17004 Fauquant-Millet, Florence; Joseph, Anthony 15 2008 Compatible adapted pairs and a common slice theorem for some centralizers. Zbl 1206.17011 Joseph, Anthony 12 2008 On semi-invariants and index for biparabolic (seaweed) algebras. II. Zbl 1184.17008 Joseph, Anthony 23 2007 Parabolic actions in type \(A\) and their eigenslices. Zbl 1232.17020 Joseph, Anthony 12 2007 Maximal Poisson commutative subalgebras for truncated parabolic subalgebras of maximal index in \(\mathfrak{sl}_n\). Zbl 1232.17019 Joseph, A.; Lamprou, P. 12 2007 A slice theorem for truncated parabolics of index one and the Bézout equation. Zbl 1141.17007 Joseph, Anthony 6 2007 On semi-invariants and index for biparabolic (seaweed) algebras. I. Zbl 1183.17009 Joseph, Anthony 36 2006 Modules with a Demazure flag. Zbl 1195.17010 Joseph, Anthony 9 2006 Results and problems in enveloping algebras arising from quantum groups. Zbl 1117.17003 Joseph, 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 1158.17002 Fauquant-Millet, Florence; Joseph, Anthony 25 2005 Orbital variety closures and the convolution product in Borel-Moore homology. Zbl 1147.17304 Hinich, Vladimir; Joseph, Anthony 1 2005 The enigma of the missing invariants on the nilradical of a Borel. Zbl 1077.17014 Joseph, Anthony 3 2004 A decomposition theorem for Demazure crystals. Zbl 1100.17009 Joseph, Anthony 13 2003 Sheets and topology of primitive spectra for semisimple Lie algebras. Zbl 1078.17005 Borho, Walter; Joseph, Anthony 7 2003 Quantization of hypersurface orbital varieties in \({\mathfrak{sl}}_n\). Zbl 1082.17007 Joseph, Anthony; Melnikov, Anna 5 2003 On the graded injectivity of the Conze embedding. Zbl 1023.17004 Joseph, Anthony 2 2003 Studies in memory of Issai Schur. Zbl 1005.00049 1 2003 On the quantum KPRV determinants for semisimple and affine Lie algebras. Zbl 1043.17008 Joseph, Anthony; Todorić, Dragana 5 2002 Evaluation of the quantum affine PRV determinants. Zbl 1019.17003 Joseph, 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 1018.17008 Fauquant Millet, F.; Joseph, A. 10 2001 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. I: Injectivity and multiplicities. Zbl 1014.17010 Joseph, Anthony 5 2001 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. III: Computation of the KPRV determinants. Zbl 1014.17012 Joseph, Anthony; Letzter, Gail; Todoric, Dragana 4 2001 On the Kostant-Parthasarathy-Ranga Rao-Varadarajan determinants. II: Construction of the KPRV determinants. Zbl 1014.17011 Joseph, Anthony; Letzter, Gail 3 2001 On an affine quantum KPRV determinant at \(q=1\). Zbl 1055.17005 Joseph, 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 0970.17006 Greenstein, Jacob; Joseph, Anthony 1 2001 Under-sampled Weyl-Heisenberg expansions via orthogonal projections in Zak space. Zbl 0985.94011 Joseph, Anthony; Brodzik, A. K.; Tolimieri, R. 1 2001 On the Brylinski-Kostant filtration. Zbl 0991.17006 Joseph, Anthony; Letzter, Gail; Zelikson, Shmuel 14 2000 The admissibility of simple bounded modules for an affine Lie algebra. Zbl 0977.17004 Joseph, A. 3 2000 A completion of the quantized enveloping algebra of a Kac-Moody algebra. Zbl 1042.17014 Joseph, Anthony 10 1999 On the mock Peter-Weyl theorem and the Drinfeld double of a double. Zbl 0910.17003 Joseph, A. 7 1999 Orbital varieties of the minimal orbit. Zbl 0908.17002 Joseph, Anthony 14 1998 The minimal realization from deformation theory. Zbl 0908.17006 Braverman, Alexander; Joseph, Anthony 11 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 0917.17003 Joseph, Anthony 9 1998 On a Harish-Chandra homomorphism. Zbl 1002.17007 Joseph, Anthony 17 1997 Orbital varieties, Goldie rank polynomials and unitary highest weight modules. Zbl 0914.17006 Joseph, Anthony 7 1997 Rosso’s form and quantized Kac-Moody algebras. Zbl 0858.17011 Joseph, Anthony; Letzter, Gail 4 1996 Some remarks on the \(R\)-matrix. Zbl 0856.17012 Joseph, Anthony 1 1996 Quantum groups and their primitive ideals. Zbl 0808.17004 Joseph, Anthony 244 1995 Verma module annihilators for quantized enveloping algebras. Zbl 0838.17011 Joseph, Anthony; Letzter, Gail 11 1995 On a conjecture of Feigin. (Sur une conjecture de Feigin.) Zbl 0847.17011 Joseph, 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 0837.17007 Joseph, Anthony 7 1995 Coxeter structure and finite group action. Zbl 0891.17007 Joseph, Anthony 2 1995 Separation of variables for quantized enveloping algebras. Zbl 0811.17007 Joseph, Anthony; Letzter, Gail 42 1994 On the prime and primitive spectra of the algebra of functions on a quantum group. Zbl 0814.17013 Joseph, Anthony 28 1994 Enveloping algebras: Problems old and new. Zbl 0847.17007 Joseph, Anthony 11 1994 Faithfully flat embeddings for minimal primitive quotients of quantized enveloping algebras. Zbl 0853.17011 Joseph, 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 0784.17021 Joseph, Anthony 5 1993 Local finiteness of the adjoint action for quantized enveloping algebras. Zbl 0779.17012 Joseph, Anthony; Letzter, Gail 46 1992 Annihilators and associated varieties of unitary highest weight modules. Zbl 0752.17007 Joseph, Anthony 9 1992 Some ring theoretic techniques and open problems in enveloping algebras. Zbl 0752.17008 Joseph, Anthony 7 1992 On the Beilinson and Bernstein equivalence of categories. (Sur l’équivalence de catégories de Beilinson et Bernstein.) Zbl 0748.14005 Joseph, Anthony; Perets, Gadi S.; Polo, Patrick 3 1991 An intrinsic analysis of unitarizable highest weight modules. Zbl 0725.17009 Enright, Thomas J.; Joseph, Anthony 26 1990 Characters for unipotent representations. Zbl 0695.22006 Joseph, Anthony 1 1990 The surjectivity theorem, characteristic polynomials and induced ideals. Zbl 0738.17006 Joseph, Anthony 1 1990 On the characteristic polynomials of orbital varieties. Zbl 0695.17003 Joseph, Anthony 10 1989 The primitive spectrum of an enveloping algebra. Zbl 0714.17011 Joseph, Anthony 3 1989 Multiplicity of the adjoint representation in simple quotients of the enveloping algebra of a simple Lie algebra. Zbl 0676.17009 Joseph, Anthony 1 1989 Multiplicity of the adjoint representation in simple quotients of the enveloping algebra of a simple Lie algebra. Zbl 0696.17007 Joseph, Anthony 1 1989 A surjectivity theorem for rigid highest weight modules. Zbl 0657.17004 Joseph, Anthony 12 1988 A sum rule for scale factors in the Goldie rank polynomials. Zbl 0699.17014 Joseph, Anthony 8 1988 Rings which are modules in the Bernstein-Gelfand-Gelfand \(\mathcal O\) category. Zbl 0645.17005 Joseph, Anthony 3 1988 A sum rule for scale factors in the Goldie rank polynomials (Addendum). Zbl 0699.17015 Joseph, Anthony 2 1988 On the cyclicity of vectors associated with Duflo involutions. Zbl 0621.17006 Joseph, Anthony 6 1987 A criterion for an ideal to be induced. Zbl 0632.17004 Joseph, Anthony 4 1987 On the Demazure character formula. II: Generic homologies. Zbl 0595.22014 Joseph, Anthony 1 1986 On the Demazure character formula. Zbl 0589.22014 Joseph, A. 49 1985 On the associated variety of a primitive ideal. Zbl 0594.17009 Joseph, Anthony 45 1985 On the variety of a highest weight module. Zbl 0539.17006 Joseph, Anthony 63 1984 Modules of \(\mathfrak k\)-finite vectors over semi-simple Lie algebras. Zbl 0543.17004 Joseph, A.; Stafford, J. T. 15 1984 Primitive ideals in enveloping algebras. Zbl 0574.17007 Joseph, A. 3 1984 On the classification of primitive ideals in the enveloping algebra of a semisimple Lie algebra. Zbl 0518.17003 Joseph, A. 4 1983 Completion functors in the Q category. Zbl 0518.17004 Joseph, A. 1 1983 The Enright functor on the Bernstein-Gelfand-Gelfand category O. Zbl 0502.17006 Joseph, A. 21 1982 Towards the Kazhdan-Lusztig conjecture. Zbl 0476.17005 Gabber, O.; Joseph, A. 43 1981 On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Zbl 0461.17004 Gabber, O.; Joseph, A. 25 1981 Goldie rank in the enveloping algebra of a semisimple Lie algebra. III. Zbl 0482.17002 Joseph, A. 16 1981 ...and 33 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 807 Authors 81 Joseph, Anthony 15 Panyushev, Dmitri Ivanovich 14 Yakimov, Milen T. 13 Bavula, Vladimir V. 13 Goodearl, Kenneth R. 12 Letzter, Gail 11 Fauquant-Millet, Florence 11 Gorelik, Maria 11 Mazorchuk, Volodymyr 11 Ooms, Alfons I. 9 Borho, Walter 9 Coll, Vincent E. jun. 9 Heckenberger, István 9 Kolb, Stefan 9 Letzter, Edward S. 9 Levasseur, Thierry 9 McGovern, William Montgomery 9 Melnikov, Anna 8 Brown, Kenneth Alexander 8 Greenstein, Jacob 8 Günaydin, Murat 8 Smith, S. Paul 8 Yakimova, Oksana S. 7 Alev, Jacques 7 Berenstein, Arkady 7 Futorny, Vyacheslav M. 7 Lamprou, Polyxeni 7 Petukhov, Alexey V. 7 Stafford, J. Toby 7 Vogan, David Alexander jun. 6 Andersen, Henning Haahr 6 Bai, Zhanqiang 6 Chari, Vyjayanthi 6 Chen, Chih-Whi 6 Enright, Thomas J. 6 Feigin, Evgeny 6 Littelmann, Peter 6 Losev, Ivan V. 6 Mayers, Nicholas W. 6 Moreau, Anne 6 Premet, Alexander A. 6 Sagaki, Daisuke 6 Sahi, Siddhartha 6 Serganova, Vera V. 6 Stroppel, Catharina H. 6 Tanisaki, Toshiyuki 5 Arakawa, Tomoyuki 5 Coulembier, Kevin 5 De Commer, Kenny 5 Fernando, Sudarshan 5 Havlíček, Miloslav 5 Hodges, Timothy J. 5 Kato, Syu 5 Kobayashi, Toshiyuki 5 Launois, Stéphane 5 Lenagan, Thomas H. 5 Mathieu, Olivier 5 Matumoto, Hisayosi 5 Naito, Satoshi 5 Tauvel, Patrice 5 Van den Bergh, Michel 5 Zhang, James J. 4 Backelin, Erik 4 Barbasch, Dan M. 4 Barchini, Leticia 4 Biswal, Rekha 4 Boe, Brian Douglas 4 Cahen, Benjamin 4 Caldero, Philippe 4 Collingwood, David H. 4 Deng, Bangming 4 Dumas, François 4 Fang, Xin 4 Finkelberg, Michael Vladlenovich 4 Fresse, Lucas 4 Ginzburg, Victor 4 Gourevitch, Dmitry 4 Jordan, David Andrew 4 Kus, Deniz 4 Musson, Ian M. 4 Oh, Sei-Qwon 4 Penkov, Ivan B. 4 Polo, Patrick 4 Rentschler, Rudolf 4 Russoniello, Nicholas V. 4 Trapa, Peter E. 4 Viswanath, Sankaran 4 Yu, Rupert Wei Tze 4 Zierau, Roger 3 Beem, Christopher 3 Bolsinov, Alexey V. 3 Braverman, Alexander 3 Brylinski, Jean-Luc 3 Carlin, Kevin J. 3 Casian, Luis G. 3 Cauchon, Gerard 3 Charbonnel, Jean-Yves 3 Cherednik, Ivan V. 3 Douglass, J. Matthew 3 Duflo, Michel ...and 707 more Authors all top 5 Cited in 136 Serials 189 Journal of Algebra 72 Advances in Mathematics 54 Communications in Algebra 37 Transformation Groups 35 Transactions of the American Mathematical Society 30 Compositio Mathematica 30 Algebras and Representation Theory 26 Inventiones Mathematicae 24 Mathematische Zeitschrift 23 Communications in Mathematical Physics 23 Duke Mathematical Journal 23 Representation Theory 18 Journal of Mathematical Physics 18 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 17 Journal of Pure and Applied Algebra 16 Selecta Mathematica. 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Second Series 2 Communications in Contemporary Mathematics 2 Journal of the Institute of Mathematics of Jussieu 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 Bulletin of Mathematical Sciences 2 Communications in Mathematics and Statistics 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 American Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Journal of the Indian Institute of Science ...and 36 more Serials all top 5 Cited in 38 Fields 718 Nonassociative rings and algebras (17-XX) 307 Associative rings and algebras (16-XX) 203 Topological groups, Lie groups (22-XX) 159 Group theory and generalizations (20-XX) 146 Algebraic geometry (14-XX) 93 Quantum theory (81-XX) 82 Combinatorics (05-XX) 43 Differential geometry (53-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Category theory; homological algebra (18-XX) 25 Commutative algebra (13-XX) 21 Number theory (11-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Relativity and gravitational theory (83-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Functional analysis (46-XX) 12 Manifolds and cell complexes (57-XX) 11 Special functions (33-XX) 10 Abstract harmonic analysis (43-XX) 8 Mechanics of particles and systems (70-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 \(K\)-theory (19-XX) 5 Partial differential equations (35-XX) 5 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Geometry (51-XX) 1 General topology (54-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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