Anthony Joseph

Anthony Joseph's AcademicInfluence.com Rankings

Anthony Joseph

Mathematics

#7550

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#10247

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Algebra

#349

World Rank

#482

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Measure Theory

#2279

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#2731

Historical Rank

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Mathematics

Anthony Joseph's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics Stanford University

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Anthony Joseph's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The minimal orbit in a simple Lie algebra and its associated maximal ideal (1976) (218)
Quantum Groups and Their Primitive Ideals (1994) (197)
First European Congress of Mathematics (1994) (178)
On the variety of a highest weight module (1984) (147)
On the associated variety of a primitive ideal (1985) (131)
A preparation theorem for the prime spectrum of a semisimple Lie algebra (1977) (110)
Local finiteness of the adjoint action for quantized enveloping algebras (1992) (107)
Goldie rank in the enveloping algebra of a semisimple Lie algebra, I (1980) (102)
Minimal realizations and spectrum generating algebras (1974) (102)
On the Demazure character formula (1985) (101)
Towards the Kazhdan-Lusztig conjecture (1981) (96)
On semi-invariants and index for biparabolic (seaweed) algebras, II☆ (2006) (89)
Separation of Variables for Quantized Enveloping Algebras (1994) (89)
Studies in Memory of Issai Schur (2012) (83)
On the Prime and Primitive Spectra of the Algebra of Functions on a Quantum Group (1994) (66)
Kostant's problem, Goldie rank and the Gelfand-Kirillov conjecture (1980) (64)
On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula (1981) (60)
Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules (1978) (55)
Polynomiality of invariants, unimodularity and adapted pairs (2010) (53)
An intrinsic analysis of unitarizable highest weight modules (1990) (50)
Derivations of Lie brackets and canonical quantisation (1970) (46)
W-module structure in the primitive spectrum of the enveloping algebra of a semisimple Lie algebra (1979) (43)
A characteristic variety for the primitive spectrum of a semisimple lie algebra (1977) (41)
The enright functor on the Bernstein-Gelfand-Gelfand category $$\mathcal{O}$$ (1982) (38)
Towards the Jantzen conjecture (1980) (37)
Proof of the Gelfand-Kirillov conjecture for solvable Lie algebras (1974) (37)
An additivity principle for Goldie rank (1978) (36)
Operator algebras, unitary representations, enveloping algebras, and invariant theory : actes du colloque en l'honneur de Jacques Dixmier (1990) (36)
An algebraic slice in the coadjoint space of the Borel and the Coxeter element (2011) (35)
Orbital varieties of the minimal orbit (1998) (35)
A generalization of Quillen’s lemma and its application to the Weyl algebras (1977) (33)
Verma module annihilators for quantized enveloping algebras (1995) (32)
On the characteristic polynomials of orbital varieties (1989) (32)
Slices for biparabolic coadjoint actions in type A (2008) (31)
A Generalization of the Gelfand-Kirillov Conjecture (1977) (30)
Annihilators and associated varieties of unitary highest weight modules (1992) (30)
The Minimal Realization from Deformation Theory (1998) (30)
Self-Adjoint Ladder Operators. III (1967) (29)
The Weyl Algebra-Semisimple and Nilpotent Elements (1975) (28)
On the Brylinski-Kostant filtration (2000) (26)
Orbital Varieties, Goldie Rank Polynomials and Unitary Highest Weight Modules (1997) (25)
A decomposition theorem for Demazure crystals (2003) (25)
Modules with a Demazure flag (2006) (25)
On the annihilators of the simple subquotients of the principal series (1977) (23)
A surjectivity theorem for rigid highest weight modules (1988) (23)
Compatible Adapted Pairs and a Common Slice Theorem for Some Centralizers (2008) (22)
A Completion of the Quantized Enveloping Algebra of a Kac–Moody Algebra (1999) (21)
Parabolic Actions in type A and their Eigenslices (2007) (21)
On the classification of primitive ideals in the enveloping algebra of a semisimple lie algebra (1983) (20)
Second Commutant Theorems in Enveloping Algebras (1977) (20)
A wild automorphism of Usl(2) (1976) (19)
Maximal Poisson Commutative subalgebras for truncated parabolic subalgebras of maximal index in sln (2007) (19)
Enveloping Algebras: Problems Old and New (1994) (18)
Modules of t‐Finite Vectors Over Semi‐Simple Lie Algebras (1984) (17)
On the cyclicity of vectors associated with Duflo involutions (1987) (16)
On a Harish-Chandra homomorphism (1997) (16)
A sum rule for scale factors in the Goldie rank polynomials (1988) (15)
Sheets and Topology of Primitive Spectra for Semisimple Lie Algebras (2001) (15)
COMMUTING POLYNOMIALS IN QUANTUM CANONICAL OPERATORS AND REALIZATIONS OF LIE ALGEBRAS. (1972) (14)
A slice theorem for truncated parabolics of index one and the Bezout equation (2007) (13)
On the Quantum KPRV Determinants for Semisimple and Affine Lie Algebras (2002) (13)
Towards the Jantzen conjecture III (1981) (13)
Gel'fand-Kirillov dimension for algebras associated with the Weyl algebra (1972) (12)
A Littelmann path model for crystals of Generalized Kac-Moody algebras revisited (2008) (11)
Consequences of the Littelmann Path Theory for the Structure of the Kashiwara B(∞) Crystal (2012) (11)
Rosso’s form and quantized Kac Moody algebras (1996) (11)
Kostant's problem and goldie rank (1981) (10)
Quantization of Hypersurface Orbital Varieties in sln (2003) (10)
Quantum deformations of algebras and their representations (1993) (10)
On the Kostant–Parthasarathy–Ranga Rao–Varadarajan Determinants: III. Computation of the KPRV Determinants☆☆☆ (2001) (9)
Some Ring Theoretic Techniques and Open Problems in Enveloping Algebras (1992) (9)
A Chevalley–Kostant presentation of basic modules for sl(2)̂ and the associated affine KPRV determinants at q=1☆ (2001) (9)
Zhelobenko invariants, Bernstein-Gelfand-Gelfand operators and the analogue Kostant Clifford algebra conjecture (2011) (8)
Rings which are modules in the Bernstein-Gelfand-Gelfand O category (1988) (7)
A direct proof of a generalized harish-chandra isomorphism (2012) (7)
On an affine quantum KPRV determinant at q=1 (2001) (7)
Evaluation of the quantum affine PRV determinants (2002) (7)
On the Left and Right Brylinski-Kostant Filtrations (2009) (7)
Some Remarks on Weierstrass Sections, Adapted Pairs and Polynomiality (2013) (6)
A pentagonal crystal, the golden section, alcove packing and aperiodic tilings (2008) (6)
Adapted pairs and Weierstrass sections (2015) (6)
On the Kostant–Parthasarathy–Ranga Rao–Varadarajan Determinants: I. Injectivity and Multiplicities (2001) (6)
The Admissibility of Simple Bounded Modules for an Affine Lie Algebra (2000) (6)
Highlights in Lie algebraic methods (2012) (6)
Adapted pairs in type $A$ and regular nilpotent elements (2013) (5)
Completion functors in the Q category (1983) (5)
THE HIDDEN SEMI-INVARIANTS GENERATORS OF AN ALMOST-FROBENIUS BIPARABOLIC (2014) (5)
On the Gel'fand-Kirillov conjecture for induced ideals in the semisimple case (1979) (5)
Dual Kashiwara Functions for the B(∞) Crystal (2018) (5)
Orbital variety closures and the convolution product in Borel–Moore homology (2005) (5)
A characterization theorem for realizations of sl(2) (1974) (5)
MODULES FOR RELATIVE YANGIANS (FAMILY ALGEBRAS) AND KAZHDAN-LUSZTIG POLYNOMIALS (2013) (5)
On the Demazure character formula II. Generic homologies (1986) (5)
Multiplicity of the adjoint representation in simple quotients of the enveloping algebra of a simple Lie algebra (1989) (4)
A Preparation Theorem for the Kashiwara $$B(\infty )$$B(∞) crystal (2015) (4)
THE INTEGRALITY OF AN ADAPTED PAIR (2014) (4)
Characters for unipotent representations (1990) (4)
Realizations of lie algebras from the canonical anticommutation relations (1972) (4)
Analogue Zhelobenko invariants, Bernstein–Gelfand–Gelfand operators and the Kostant Clifford algebra conjecture (2012) (4)
A criterion for an ideal to be induced (1987) (4)
A new interpretation of Catalan numbers (2015) (4)
The enigma of the missing invariants on the nilradical of a Borel (2004) (4)
A sum rule for scale factors in the Goldie rank polynomials (addendum) (1988) (4)
A classification of local current algebras (1970) (3)
Weierstrass Sections for Parabolic adjoint action in type A (2020) (3)
On the dynamical solution to the Sugawara model (1972) (3)
A new interpretation of the Catalan numbers arising in the theory of crystals (2018) (3)
Corrigendum to “Sheets and topology of primitive spectra for semisimple Lie algebras”: [J. Algebra 244 (1) (2001) 76–167] (2003) (3)
Convexity properties of the canonical S-graphs (2017) (3)
The Surjectivity Theorem, Characteristic Polynomials and Induced Ideals (1990) (3)
INVARIANTS AND SLICES FOR REDUCTIVE AND BIPARABOLIC COADJOINT ACTIONS (2010) (3)
Orbital varietes of the minimal orbit (2019) (3)
Slices for biparabolics of index 1 (2011) (2)
On the graded injectivity of the Conze embedding (2003) (2)
Symplectic structure in the enveloping algebra of a Lie algebra (1974) (2)
Analogue Zhelobenko Invariants and the Kostant Clifford Algebra Conjecture (2011) (2)
Coxeter Structure and Finite Group Action (2001) (2)
Trails, $S$-graphs and Identities in Demazure Modules (2017) (2)
Parabolic Adjoint Action, Weierstrass Sections and Components of the Nilfibre in Type $A$ (2021) (2)
Rosso’s form and quantized Kac Moody algebras (1996) (1)
A second anticommutant theorem for symmetric ternary algebras (1971) (1)
On the dynamical solution to the sugawara model: II. The lie identities (1972) (1)
Some Remarks on theR-Matrix (1996) (1)
The Crystal Basis (1995) (1)
Corrigenda and addenda to "on the cyclicity of vectors associated with Duflo involutions" (1987) (1)
Trails for Minuscule Modules and Dual Kashiwara Functions for the $B(\infty )$ Crystal (2017) (1)
The algebraic method in representation theory (1976) (1)
First European Congress of Mathematics : Paris, July 6-10, 1992 (1994) (1)
The Canonical Component of the nilfibre for Parabolic adjoint action in type $A$ (2022) (1)
Slices for biparabolics of index one (2010) (1)
Towards the Jantzen conjecture. II (2018) (1)
Highest Weight Modules (1995) (1)
A commutant property of symmetric ternary algebras (1971) (0)
A direct proof of a generalized harish-chandra isomorphism (2012) (0)
Structure Theorems for R q [ G ] (1995) (0)
Classes of unitarizable derived functor modules ( semisimple Lie group / unitary representation / continuous cohomology / coherent continuation ) (1999) (0)
Erratum to the Article “On the Left and Right Brylinski-Kostant filtrations” (2014) (0)
Recovery of the lie identities of field theory from minimal conditions (1972) (0)
An inequality relating cross sections to polarization from isospin conservation (1972) (0)
Encoding the Cartan Matrix (1995) (0)
Relative Yangians of Weyl type (2016) (0)
The Composition Tableau and Reconstruction of the Canonical Weierstrass Section for Parabolic Adjoint Action in type $A$ (2022) (0)
Proper Self-Similar Triangle Tiling and Representing Weight Diagrams in the Plane (2019) (0)
Laudatio of Bertram Kostant (2017) (0)
The Global Bases (1995) (0)
C O ] 1 D ec 2 01 5 A NEW INTERPRETATION OF THE CATALAN NUMBERS (2015) (0)
A GENERALIZATION OF QUILLEN'S AND ITS APPLICATION TO THE WEYL ALGEBRAS* LEMMA (1977) (0)
Excerpts from the Classical Theory (1995) (0)
MODULES FOR RELATIVE YANGIANS (FAMILY ALGEBRAS) AND KAZHDAN-LUSZTIG POLYNOMIALS (2014) (0)
A Preparation Theorem for the Kashiwara B(∞)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$B(\infty )$$\end{document} (2017) (0)
Discovering Nontrivial and Functional Behavior in Register Machines (2013) (0)
The Primitive Spectrum of Uq(g) (1995) (0)
PRIMITIVE IDEALS OF U(sl(∞)) (2018) (0)
Studies in Lie theory : dedicated to A. Joseph on his sixtieth birthday (2006) (0)
Goldie rank ratios and quaternionic extensions (2006) (0)
A substitution theorem for the Borcherds–Weyl semigroup (2016) (0)
The Prime Spectrum of Rq[G] (1995) (0)
THE HIDDEN SEMI-INVARIANTS GENERATORS OF AN ALMOST-FROBENIUS BIPARABOLIC (2014) (0)
CAUCHY-RIEMANN OPERATORS, SELF-DUALITY, AND THE SPECTRAL FLOW INVITED LECTURES (PART 1) (1994) (0)
Structure Theorems for U q ( g ) (1995) (0)

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Weizmann Institute of Science

Anthony Joseph's Academic­Influence.com Rankings

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Anthony Joseph's Published Works

Published Works

What Schools Are Affiliated With Anthony Joseph?

Anthony Joseph's AcademicInfluence.com Rankings