David Vogan

Q: What Schools Are Affiliated With David Vogan

David Vogan is affiliated with the following schools: Massachusetts Institute of Technology, University of Chicago

David Vogan's AcademicInfluence.com Rankings

David Vogan

Mathematics

#1631

World Rank

#2632

Historical Rank

#666

USA Rank

Measure Theory

#1629

World Rank

#2010

Historical Rank

#536

USA Rank

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Mathematics

Why Is David Vogan Influential?

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According to Wikipedia, David Alexander Vogan, Jr. is a mathematician at the Massachusetts Institute of Technology who works on unitary representations of simple Lie groups. While studying at the University of Chicago, he became a Putnam Fellow in 1972. He received his Ph.D. from M.I.T. in 1976, under the supervision of Bertram Kostant. In his thesis, he introduced the notion of lowest K type in the course of obtaining an algebraic classification of irreducible Harish Chandra modules. He is currently one of the participants in the Atlas of Lie Groups and Representations.

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David Vogan'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

Representations of real reductive Lie groups (1981) (505)
Cohomological Induction and Unitary Representations (1995) (389)
Unitary representations with non-zero cohomology (1984) (330)
Gelfand-Kirillov dimension for Harish-Chandra modules (1978) (287)
Unitarizability of Certain Series of Representations (1984) (272)
The unitary dual of GL(n) over an archimedean field (1986) (219)
The Langlands Classification and Irreducible Characters for Real Reductive Groups (1992) (212)
Associated Varieties and Unipotent Representations (1991) (211)
Unipotent representations of complex semisimple groups (1985) (207)
The local Langlands conjecture (1993) (203)
Irreducible characters of semisimple lie groups III. Proof of Kazhdan-Lusztig conjecture in the integral case (1983) (201)
Primitive ideals and orbital integrals in complex classical groups (1982) (189)
Reducibility of generalized principal series representations (1980) (189)
The Algebraic Structure of the Representations of Semisimple Lie Groups I (1979) (162)
Unitary Representations of Reductive Lie Groups. (1987) (135)
Singularities of closures ofK-orbits on flag manifolds (1983) (134)
Primitive ideals and orbital integrals in complex exceptional groups (1983) (127)
The local structure of characters (1980) (118)
Cohomological Induction and Unitary Representations (PMS-45) (1995) (114)
Singular unitary representations (1981) (100)
A generalized τ-invariant for the primitive spectrum of a semisimple Lie algebra (1979) (88)
Unitary representations of real reductive groups (2012) (79)
On the classification of unitary representations of reductive Lie groups (1998) (63)
Ordering of the primitive spectrum of a semisimple Lie algebra (1980) (57)
Weyl Group Representations and Nilpotent Orbits (1983) (56)
L-groups, projective representations, and the Langlands classification (1992) (55)
Irreducibility of discrete series representation for semisimple sym-metric spaces (1988) (54)
Intertwining operators for real reductive groups (1990) (54)
Hecke algebras and involutions in Weyl groups (2011) (53)
An integrated genotyping approach for HLA and other complex genetic systems. (2015) (51)
Unitary Shimura correspondences for split real groups (2007) (50)
Representations of reductive lie groups (1988) (46)
The method of coadjoint orbits for real reductive groups (2015) (45)
The Orbit Method and Unitary Representations for Reductive Lie Groups (1997) (38)
The unitary dual ofG2 (1994) (33)
Functions on the model orbit in (1998) (32)
Contragredient representations and characterizing the local Langlands correspondence (2012) (31)
A fixed point formula (1992) (29)
Cohomology and Group Representations (2007) (25)
Unitary Representations and Complex Analysis (2008) (23)
Geometric Quantization for Nilpotent Coadjoint Orbits (1998) (23)
Analysis in space-time bundles IV. Natural bundles deforming into and composed of the same invariant factors as the spin and form bundles (1987) (20)
Representation Theory and Harmonic Analysis on Semisimple Lie Groups (1989) (18)
BRANCHING TO A MAXIMAL COMPACT SUBGROUP (2007) (17)
Representation Theory of Lie Groups (2000) (17)
Translation principle for Dirac index (2015) (16)
Isolated Unitary Representations (2007) (16)
Review: Anthony W. Knapp, Representation theory of semisimple groups. An overview based on examples (1987) (15)
On the structure of Kazhdan-Lusztig cells for branched Dynkin diagrams (1992) (14)
Quasisplit Hecke algebras and symmetric spaces (2012) (13)
Classification of the irreducible representations of semisimple Lie groups. (1977) (13)
Dirac index and associated cycles of Harish-Chandra modules (2017) (12)
Representation Theory and Complex Analysis (2008) (11)
Unitary Representations of Reductive Lie Groups and the Orbit Method (1992) (10)
Understanding the unitary dual (1983) (10)
Lie algebra cohomology and the representations of semisimple Lie groups (1976) (9)
HARISH-CHANDRA'S METHOD OF DESCENT (1992) (9)
On classifying unitary modules by their Dirac cohomology (2017) (9)
Unitary Representations of Reductive Lie Groups. (AM-118) (1988) (8)
Parameters for twisted representations (2015) (8)
Lie algebra cohomology and a multiplicity formula of Kostant (1978) (8)
Explanation of parity nonconservation. (1987) (7)
The size of infinite-dimensional representations (2017) (7)
The character table for E 8 (2007) (7)
Associated varieties for real reductive groups (2021) (7)
Hecke algebras and involutions in Coxeter groups (2013) (6)
THREE-DIMENSIONAL SUBGROUPS AND UNITARY REPRESENTATIONS (2001) (6)
Representations of reductive groups : in honor of the 60th birthday of David A. Vogan, Jr. (2015) (5)
A reducibility criterion for generalized principal series. (1977) (5)
Laplacians on spheres (2018) (5)
Geometry and Representation Theory of Real and p-adic groups (2011) (5)
Reducibility of standard representations (1984) (4)
Spinor Currents as Vector Particles (1998) (4)
Closure Diagrams for Nilpotent Orbits of Exceptional Groups (2011) (3)
Involutions in Coxeter groups (2011) (3)
Coadjoint Orbits and Induced Representations (2008) (3)
The Contragredient (2012) (3)
Applications of representation theory to harmonic analysis of Lie groups (and vice versa) (2008) (2)
The size of infinite-dimensional representations (2017) (2)
Disconnected reductive groups (2019) (2)
Computing the Unitary Dual (2009) (2)
Computing the associated cycles of certain Harish-Chandra modules (2017) (2)
Strictly small representations and a reduction theorem for the unitary dual (2001) (2)
Vogan Unitary Representations of Reductive Lie Groups (2018) (1)
BRANCHING EXAMPLE : Sp ( 4 , R ) (2008) (1)
A Langlands Classiication for Unitary Representations (1998) (1)
Involutions in Weyl groups and nil-Hecke algebras (2021) (1)
The Langlands classification for tori (1992) (1)
Computing Hodge filtrations (2019) (1)
Representations of Reductive Groups (2019) (1)
The Langlands classification without L-groups (1992) (1)
Signatures for finite-dimensional representations of real reductive Lie groups (2018) (1)
Chapter 2. HARISH-CHANDRA MODULES (1988) (0)
Langlands parameters and Cartan subgroups (1992) (0)
Mathematical Exposition: Neil Trudinger (2008) (0)
APPENDIX A. MISCELLANEOUS ALGEBRA (1995) (0)
Structure theory: extended groups and Whittaker models (1992) (0)
Characteristic cycles and Harish-Chandra modules (1992) (0)
Proof of Theorems 16.22 and 16.24 (1992) (0)
REDUCTIBILITY OF STANDARD REPRESENTATIONS (2007) (0)
Chapter 1. COMPACT GROUPS AND THE BOREL-WEIL THEOREM (1988) (0)
Proof of Propositions 13.6 and 13.8 (1992) (0)
CHAPTER V. COHOMOLOGICAL INDUCTION (1995) (0)
Multiplicity formulas for representations (1992) (0)
Chapter 13. EXHAUSTION (1988) (0)
QUASISPLIT HECKE ALGEBRAS AND SYMMETRIC SPACES 3 The main idea in (2016) (0)
INFINITE-DIMENSIONAL REPRESENTATIONS OF REAL REDUCTIVE GROUPS (2009) (0)
Laplacians on spheres (2018) (0)
Strongly stable characters and Theorem 1.29 (1992) (0)
CHAPTER XI. TRANSFER THEOREM (1995) (0)
Special unipotent representations (1992) (0)
Structure theory: L-groups (1992) (0)
Langlands parameters and L-homomorphisms (1992) (0)
Structure theory: real forms (1992) (0)
Ad-nilpotent ideals of complex and real reductive groups (2007) (0)
Chapter 9. PRIMITIVE IDEALS AND UNIPOTENT REPRESENTATIONS (1988) (0)
Chapter 5. COHOMOLOGICAL PARABOLIC INDUCTION: ANALYTIC THEORY (1988) (0)
The translation principle and the Kazhdan-Lusztig algorithm (1992) (0)
Chapter 12. ON THE DEFINITION OF UNIPOTENT REPRESENTATIONS (1988) (0)
On classifying unitary modules by their Dirac cohomology (2017) (0)
Perverse sheaves on the geometric parameter space (1992) (0)
Chapter XV. Minimal K Types (1986) (0)
Chapter 6. COHOMOLOGICAL PARABOLIC INDUCTION: ALGEBRAIC THEORY (1988) (0)
Covering groups and projective representations (1992) (0)
The orbit method for reductive groups (2008) (0)
Complete geometric parameters and perverse sheaves (1992) (0)
Hecke Algebras and Involutions in Weyl Groups Terms of Use Detailed Terms Hecke Algebras and Involutions in Weyl Groups (0)
Microlocal geometry of perverse sheaves (1992) (0)
The classification theorem and Harish-Chandra modules for the dual group (1992) (0)
Characteristic cycles, micro-packets, and Corollary 1.32 (1992) (0)
Pairings between Cartan subgroups and the proof of Theorem 10.4 (1992) (0)
THE FIRST BETTI NUMBER OF A COMPACT HYPERBOLIC MANIFOLD AND THE HODGE CONJECTURE FOR COMPACT QUOTIENTS OF THE COMPLEX n BALL (2012) (0)
Rings of Regular Functions on Spherical Nilpotent Orbits for Complex Classical Groups (2010) (0)
AN UPPER BOUND FOR SIGNATURES OF IRREDUCIBLE, SELF-DUAL gl(n,C)-REPRESENTATIONS (2018) (0)
Quantum Planes (2005) (0)
The Contragredient Jeffrey Adams and (2012) (0)
MAXIMAL PRODUCTS OF SU(2) IN COMPACT LIE GROUPS UROP+ FINAL PAPER SUMMER 2015 (2015) (0)
Understanding restriction to K (2013) (0)
A SINGULAR REPRESENTATION OF E6 B. BINEGAR AND R. ZIERAU (2010) (0)
Small-depth Counting Networks and Related Topics Small-depth Counting Networks and Related Topics (1994) (0)
Singular Hyperkiihler Quotients (2007) (0)
BRANCHING LAWS AIM LECTURES JULY (2003) (0)
On Trigonometric and Elliptic Cherednik Algebras (2011) (0)
APPENDIX D. SPECTRAL SEQUENCES (1995) (0)
Singular Hyperkaihler Quotients. (2007) (0)
CHAPTER IV. REDUCTIVE PAIRS (1995) (0)
CHAPTER VIII. IRREDUCIBILITY THEOREM (1995) (0)
A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits (2012) (0)
Book Review: Lectures on the orbit method (2005) (0)
CHAPTER VI. SIGNATURE THEOREM (1995) (0)
Book Review: Lie groups: Beyond an introduction (1999) (0)
PREREQUISITES BY CHAPTER (1995) (0)
P245 Immune response genetics and the 1000 genomes samples: toward application in precision medicine (2017) (0)
Errata for “ Parameters for twisted representations ” (2017) (0)
APPENDIX B. DISTRIBUTIONS ON MANIFOLDS (1995) (0)
Geometry and representations of reductive groups (2007) (0)
APPENDIX C. ELEMENTARY HOMOLOGICAL ALGEBRA (1995) (0)
Spherical D-modules and Representations of Reductive Lie Groups (2016) (0)
Chapter 8. LANGLANDS’ PRINCIPLE OF FUNCTORIALITY AND UNIPOTENT REPRESENTATIONS (1988) (0)
Chapter 4. STEIN COMPLEMENTARY SERIES AND THE UNITARY DUAL OF GL(n,ℂ) (1988) (0)
CHAPTER II. THE CATEGORY C(g, K) (1995) (0)
INDEX OF NOTATION (1986) (0)
Chapter 7. FINITE GROUPS AND UNIPOTENT REPRESENTATIONS (1988) (0)
CHAPTER I. HECKE ALGEBRAS (1995) (0)
Chapter 3. PARABOLIC INDUCTION (1988) (0)
Compactification of semi-simple Lie groups. (2019) (0)
CHAPTER IX. UNITARIZABILITY THEOREM (1995) (0)
Chapter 11. E-MULTIPLICITIES AND UNIPOTENT REPRESENTATIONS (1988) (0)
Structure and representations of exceptional groups (2010) (0)
CHAPTER III. DUALITY THEOREM (1995) (0)
Chapter 10. THE ORBIT METHOD AND UNIPOTENT REPRESENTATIONS (1988) (0)
CHAPTER VII. TRANSLATION FUNCTORS (1995) (0)
Interlude. THE IDEA OF UNIPOTENT REPRESENTATIONS (1988) (0)
Local geometry of constructible sheaves (1992) (0)
CHAPTER XII. EPILOG: WEAKLY UNIPOTENT REPRESENTATIONS (1995) (0)

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What Schools Are Affiliated With David Vogan?

David Vogan is affiliated with the following schools: