Vera Serganova | Academic Influence

Vera Serganova's AcademicInfluence.com Rankings

Vera Serganova

Mathematics

#4763

World Rank

#6749

Historical Rank

#1613

USA Rank

Measure Theory

#3275

World Rank

#3871

Historical Rank

#948

USA Rank

mathematics Degrees

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Mathematics

Vera Serganova's Degrees

PhD Mathematics Moscow State University

Why Is Vera Serganova Influential?

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According to Wikipedia, Vera Vladimirovna Serganova is a professor of mathematics at the University of California, Berkeley who researches superalgebras and their representations. Serganova graduated from Moscow State University. She defended her Ph.D. in 1988 at Saint Petersburg State University under the joint supervision of Dimitry Leites and Arkady Onishchik. She was an invited speaker at the International Congress of Mathematicians in 1998 and a plenary speaker at the ICM in 2014. In 2017, she was elected a member of the American Academy of Arts and Sciences.

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Vera Serganova'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

Combinatorial Geometries, Convex Polyhedra, and Schubert Cells (1987) (329)
Kazhdan-Lusztig polynomials and character formula for the Lie superalgebragI(m/n) (1996) (179)
Combinatorial geometries and torus strata on homogeneous compact manifolds (1987) (135)
Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras (2009) (109)
AUTOMORPHISMS OF SIMPLE LIE SUPERALGEBRAS (1985) (100)
Generic Irreducible Representations of Finite-Dimensional Lie Superalgebras (1994) (84)
On generalizations of root systems (1996) (79)
Classification of real simple Lie superalgebras and symmetric superspaces (1983) (79)
Kac–Moody Superalgebras and Integrability (2011) (76)
ON ASSOCIATED VARIETY FOR LIE SUPERALGEBRAS (2005) (62)
Cohomology of $G/P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$-modules (1989) (57)
A Koszul category of representations of finitary Lie algebras (2011) (56)
Representations of classical Lie superalgebras of type I (1992) (55)
Characters of Finite-Dimensional Irreducible q(n) -Modules (1997) (46)
CUSPIDAL REPRESENTATIONS OF sl(n + 1) (2007) (45)
On the Superdimension of an Irreducible Representation of a Basic Classical Lie Superalgebra (2011) (44)
On representations of the Lie superalgebra p(n) (2002) (41)
Characters of irreducibleG-modules and cohomology ofG/P for the lie supergroupG=Q(N) (1997) (40)
Deligne Categories and the Limit of Categories Rep(GL(m|n)) (2015) (39)
Categories of integrable sl ( ∞ )-, o ( ∞ )-, sp ( ∞ )-modules (2010) (34)
Classification of Finite-Growth General Kac–Moody Superalgebras (2007) (34)
CATEGORY OF sp(2n)-MODULES WITH BOUNDED WEIGHT MULTIPLICITIES (2005) (33)
Del Pezzo surfaces and representation theory (2006) (33)
Solutions of the classical Yang-Baxter equation for simple superalgebras (1984) (29)
On Einstein Equations on Manifolds and Supermanifolds (2002) (27)
TRANSLATION FUNCTORS AND DECOMPOSITION NUMBERS FOR THE PERIPLECTIC LIE SUPERALGEBRA p(n) (2017) (23)
ON THE EXISTENCE OF (g,k)-MODULES OF FINITE TYPE (2004) (23)
Bernstein-Gel'fand-Gel'fand reciprocity and indecomposable projective modules for classical algebraic supergroups (2011) (23)
On Kostant's theorem for the Lie superalgebra $Q(n)$ (2014) (22)
On the existence of $\mathfrak{g}$, $\mathfrak{k}$-modules of finite type (2004) (20)
Translation functors and decomposition numbers for the periplectic Lie superalgebra $\mathfrak{p}(n)$ (2016) (19)
Homological invariants in category O for the general linear superalgebra (2015) (19)
A Categorification of the Boson–Fermion Correspondence via Representation Theory of sl(∞) (2014) (19)
Bounded generalized Harish-Chandra modules (2007) (19)
Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras (2014) (18)
Combinatorics of Character Formulas for the Lie Superalgebra $\fgl(m,n).$ (2011) (18)
Metasymmetry and Volichenko algebras (1990) (17)
Combinatorics of character formulas for the lie superalgebra $ \mathfrak{g}\mathfrak{l}\left( {m,n} \right) $ (2011) (16)
Deligne Categories and the Periplectic Lie Superalgebra (2018) (16)
The affine VW supercategory (2018) (15)
Classical Lie superalgebras at infinity (2014) (15)
WEIGHT REPRESENTATIONS OF THE POLYNOMIAL CARTAN TYPE LIE ALGEBRAS Wn AND S̄n (2004) (14)
Classical superspaces and related structures (1991) (14)
The Capelli eigenvalue problem for Lie superalgebras (2018) (13)
On the equations for universal torsors over del Pezzo surfaces (2008) (13)
EMBEDDINGS OF LIE SUPERALGEBRA OSP(1/2) AND THE ASSOCIATED NONLINEAR SUPERSYMMETRIC EQUATIONS (1985) (12)
Duflo–Serganova functor and superdimension formula for the periplectic Lie superalgebra (2019) (12)
A reduction method for atypical representations of classical Lie superalgebras (2003) (12)
On Finite W -Algebras for Lie Superalgebras in the Regular Case (2013) (12)
Weight representations of the polynomial Cartan type Lie algebras $ W_{n} $ and $ \bar{S}_{n} $ (1999) (11)
A geometric characterization of Coxeter matroids (1997) (11)
ON WEIGHT MODULES OF ALGEBRAS OF TWISTED DIFFERENTIAL OPERATORS ON THE PROJECTIVE SPACE (2013) (11)
BLOCKS IN THE CATEGORY OF FINITE-DIMENSIONAL REPRESENTATIONS OF gl (m|n) (2006) (11)
On Representations of the Affine Superalgebra q(n)(2) (2008) (11)
Grothendieck rings of periplectic Lie superalgebras (2019) (10)
Symmetries Wider than Supersymmetry (2001) (10)
Twisted Generalized Weyl Algebras and Primitive Quotients of Enveloping Algebras (2015) (10)
Integrable sl(∞) ‐modules and category O for gl(m|n) (2018) (9)
Character formulas for some classes of atypical gl(m+nε)- and p(m)-modules (1988) (9)
On the finite W-algebra for the Lie superalgebra Q(N) in the non-regular case (2017) (8)
Kac–Wakimoto conjecture for the periplectic Lie superalgebra (2019) (8)
On DS functor for affine Lie superalgebras (2017) (8)
On the Tits-Kantor-Koecher construction of unital Jordan bimodules (2015) (8)
The Support of an Irreducible Lie Algebra Representation (1998) (7)
Structure and Representation Theory of Kac–Moody Superalgebras (2012) (7)
Categories of integrable $sl(\infty)$-, $o(\infty)$-, $sp(\infty)$-modules (2010) (7)
Jacobson-Morozov Lemma for algebraic supergroups (2020) (7)
Large annihilator category O for sl(∞),o(∞),sp(∞) (2019) (7)
On the number of real and complex moduli of singularities of smooth functions and realizations of matroids (1991) (7)
Kazhdan-Lusztig polynomials for Lie superalgebra {}(\vert) (1993) (6)
Integrable Modules Over Affine Lie Superalgebras $${\mathfrak{sl}(1|n)^{(1)}}$$sl(1|n)(1) (2017) (6)
Introduction to representation theory of quivers (2018) (5)
Adjoint representation of E_8 and del Pezzo surfaces of degree 1 (2010) (4)
CLIFFORD AND WEYL SUPERALGEBRAS AND SPINOR REPRESENTATIONS (2018) (4)
A Journey Through Representation Theory: From Finite Groups to Quivers via Algebras (2018) (4)
Shapovalov Forms for Poisson Lie Superalgebras (2006) (4)
Simple singularities of functions on supermanifolds. (1989) (4)
Simple weight modules with finite weight multiplicities over the Lie algebra of polynomial vector fields (2021) (4)
Extension Quiver for Lie Superalgebra q(3) (2020) (3)
On algebraic methods (2018) (3)
Generalized Harish-Chandra Modules (2021) (3)
Splitting quasireductive supergroups and volumes of supergrassmannians (2022) (3)
Representations of principal W-algebra for the superalgebra Q(n) and the super Yangian YQ(1) (2019) (3)
Snowflake modules and Enright functor for Kac–Moody superalgebras (2019) (3)
Models of representations of some classical supergroups. (1991) (3)
Combinatorial Geometries , Convex Polyhedra (1987) (2)
Representations of a central extension of the simple Lie superalgebra $$\mathfrak p(3)$$p(3) (2018) (2)
Tensor Representations of 𝔮(∞)${\mathfrak {q}} (\infty )$ (2016) (2)
Categorification of Clifford algebra via geometric induction and restriction (2016) (2)
Representation theory of Mackey Lie algebras and their dense subalgebras (2013) (2)
Category of Finite Dimensional Modules over an Orthosymplectic Lie Superalgebra: Small Rank Examples (2013) (2)
CAPELLI OPERATORS FOR SPHERICAL SUPERHARMONICS AND THE DOUGALL–RAMANUJAN IDENTITY (2019) (2)
On the Grothendieck ring of a quasireductive Lie superalgebra (2022) (2)
Gelfand-Tsetlin modules for gl(n,m) (2020) (2)
ON CATEGORIES OF ADMISSIBLE (g$$ \mathfrak{g} $$, sl(2))-MODULES (2018) (2)
Introduction to representation theory of finite groups (2018) (2)
Representations of Lie Superalgebras (2017) (2)
Adjoint representation of $\text{\upshape E}_8$ and del Pezzo surfaces of degree $1$ (2011) (1)
Generic irreducible representations of classical Lie superalgebras (1991) (1)
Integrable $sl(\infty)$-modules and Category $\mathcal O$ for $\mathfrak{gl}(m|n)$ (2017) (1)
Root groupoid and related Lie superalgebras (2022) (1)
Representations of a central extension of the simple Lie superalgebra p(3)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{documen (2018) (1)
Automorphisms of the Lie superalgebras of string theory (1985) (1)
Representations of simple Jordan superalgebras (2019) (1)
The Duflo–Serganova Functor, Vingt Ans Après (2022) (1)
Tensor Product of the Fock Representation with Its Dual and the Deligne Category (2019) (1)
Large annihilator category O for sl_{\infty}, o_{\infty}, sp_{\infty}. (2018) (1)
Erratum to the paper: On Generalized Harish-Chandra Modules (2009) (1)
On Einstein Equations on Manifolds and (2003) (0)
Representations of compact groups (2018) (0)
Symmetric groups, Schur–Weyl duality and positive self-adjoint Hopf algebras (2018) (0)
Translation functors and Kazhdan--Lusztig multiplicities for the Lie superalgebra $\mathfrak{p}(n)$ (2016) (0)
Applications of quivers (2018) (0)
Twisted Generalized Weyl Algebras and Primitive Quotients of Enveloping Algebras (2016) (0)
A Categorification of the Boson–Fermion Correspondence via Representation Theory of sl(∞) (2015) (0)
Modules with applications to finite groups (2018) (0)
Geometric approach to the fermionic Fock space, via flag varieties and representations of algebraic (super)groups (2019) (0)
Localization for CS manifolds and volume of homogeneous superspaces (2022) (0)
261 A Lie Groups (2015) (0)
Bounded weight modules for basic classical Lie superalgebras at infinity (2022) (0)
The affine VW supercategory (2020) (0)
Results about unitary representations (2018) (0)
Representations of Dynkin and affine quivers (2018) (0)
REPRESENTATION THEORY WEEK2 (2005) (0)
ON WEIGHT MODULES OF ALGEBRAS OF TWISTED DIFFERENTIAL OPERATORS ON THE PROJECTIVE SPACE (2015) (0)
Gelfand-Tsetlin modules for $\mathfrak{gl}(m \vert n)$ (2021) (0)
2 A Combinatorial Formula (2013) (0)
Localization theorem for homological vector fields (2022) (0)
Lie Groups and Quantum Groups (2010) (0)
Women in Noncommutative Algebra and Representation Theory (WINART) 2016 (2016) (0)
The Grothendieck ring of the periplectic Lie supergroup and supersymmetric functions (2019) (0)
The Capelli eigenvalue problem for Lie superalgebras (2019) (0)
Torsors and representation theory of reductive groups (2013) (0)
On Categories of Admissible $\big(\mathfrak{g},\mathrm{sl}(2)\big)$-Modules (2016) (0)
Book Review: Lie superalgebras and enveloping algebras (2013) (0)

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