Vyjayanthi Chari | Academic Influence

Vyjayanthi Chari's AcademicInfluence.com Rankings

Vyjayanthi Chari

Mathematics

#4527

World Rank

#6415

Historical Rank

Measure Theory

#2937

World Rank

#3486

Historical Rank

mathematics Degrees

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Mathematics

Vyjayanthi Chari's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics Delhi University

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Why Is Vyjayanthi Chari Influential?

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According to Wikipedia, Vyjayanthi Chari is an Indian–American Distinguished Professor and the F. Burton Jones Endowed Chair for Pure Mathematics at the University of California, Riverside, known for her research in representation theory and quantum algebra. In 2015 she was elected as a fellow of the American Mathematical Society.

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Vyjayanthi Chari'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

A guide to quantum groups (1994) (1079)
Quantum affine algebras (1991) (349)
Weyl modules for classical and quantum affine algebras (2000) (265)
Quantum affine algebras and their representations (1994) (194)
Integrable representations of affine Lie-algebras (1986) (190)
On the fermionic formula and the Kirillov-Reshetikhin conjecture (2000) (143)
An Algebraic Characterization of the Affine Canonical Basis (1998) (135)
Weyl, Demazure and fusion modules for the current algebra of sl r+1 (2006) (132)
New unitary representations of loop groups (1986) (131)
A categorical approach to Weyl modules (2009) (128)
Quantum affine algebras and affine Hecke algebras (1995) (124)
Fundamental representations of Yangians and singularities of R-matrices. (1991) (113)
Braid group actions and tensor products (2001) (108)
Minimal affinizations of representations of quantum groups: The nonsimply-laced case (1994) (90)
Twisted Quantum Affine Algebras (1996) (90)
Quantum Affine Algebras at Roots of Unity (1996) (89)
Minimal affinizations of representations of quantum groups: the rank 2 case (1994) (79)
Beyond Kirillov-Reshetikhin modules (2008) (73)
The Restricted Kirillov–Reshetikhin Modules for the Current and Twisted Current Algebras (2005) (71)
A new family of irreducible, integrable modules for affine Lie algebras (1987) (59)
BGG reciprocity for current algebras (2011) (59)
Yangians, integrable quantum systems and Dorey's rule (1995) (54)
Integrable representations of twisted affine Lie algebras (1988) (52)
Unitary representations of the Virasoro algebra and a conjecture of Kac (1988) (52)
Current algebras, highest weight categories and quivers (2006) (52)
Weyl modules for the twisted loop algebras (2007) (48)
Characters and blocks for finite-dimensional representations of quantum affine algebras (2004) (46)
Demazure Modules, Fusion Products and Q-Systems (2013) (44)
Spectral Characters of Finite-Dimensional Representations of Affine Algebras (2003) (37)
A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras☆ (2008) (35)
Minimal affinizations of representations of quantum groups: the irregular case (1996) (34)
Small representations of quantum affine algebras (1994) (30)
Monomial Bases of Quantized Enveloping Algebras (1998) (28)
Comparing modular representations of semisimple groups and their Lie algebras (1997) (27)
Weyl Modules for the Hyperspecial Current Algebra (2014) (26)
Kirillov--Reshetikhin modules associated to G_2 (2006) (25)
Weyl, Fusion and Demazure modules for the current algebra of sl_{r+1} (2005) (23)
Factorization of representations of quantum affine algebras (1997) (23)
A Steinberg Type Decomposition Theorem for Higher Level Demazure Modules (2014) (22)
Indecomposable Restricted Representations of Quantum sl2 (1994) (22)
Prime representations from a homological perspective (2011) (21)
Minimal affinizations as projective objects (2010) (21)
GRADED LEVEL ZERO INTEGRABLE REPRESENTATIONS OF AFFINE LIE ALGEBRAS (2006) (20)
Integrable and Weyl modules for quantum affine sl_2 (2000) (20)
Modules with Demazure Flags and Character Formulae (2013) (20)
Representations of double affine lie algebras (2002) (19)
Posets, Tensor Products and Schur positivity (2012) (19)
Highest weight modules for locally finite Lie algebras (1997) (19)
Ideals in Parabolic Subalgebras of Simple Lie Algebras (2008) (17)
Yangians: Their representations and characters (1995) (16)
Faces of polytopes and Koszul algebras (2011) (15)
Macdonald polynomials and BGG reciprocity for current algebras (2012) (15)
Symmetric Functions and Representations of Quantum Affine Algebras (2000) (15)
Demazure flags, Chebyshev polynomials, partial and mock theta functions (2015) (15)
REALIZATION OF LEVEL ONE REPRESENTATIONS OF Uq ( ĝ ) AT A ROOT OF UNITY (2001) (14)
Quantum Groups and Lie Theory: Integrable and Weyl Modules for Quantum Affine sl2 (2000) (14)
Tensor products and $q$-characters of HL-modules and monoidal categorifications (2019) (14)
On the Harishchandra homomorphism for infinite-dimensional Lie algebras (1984) (13)
Quantum loop modules (2002) (12)
On homomorphisms between global Weyl modules (2010) (11)
Tilting modules for the current algebra of a simple Lie algebra (2012) (11)
DEMAZURE MODULES OF LEVEL TWO AND PRIME REPRESENTATIONS OF QUANTUM AFFINE $\mathfrak{sl}_{n+1}$ (2015) (10)
Representations of Affine and Toroidal Lie Algebras (2010) (10)
Characters of Fundamental Representations of Quantum Affine Algebras (2005) (10)
Derivations and isomorphisms of lie algebras of characteristic 0 (1997) (9)
Branched Crystals and Category O (2004) (8)
Realization of level one representations of $U\sb q(\hat{\mathfrak {g}})$ at a root of unity (1999) (8)
Minimal cyclic representations of quantum groups at roots of unity (1991) (7)
Symmetry in Mathematics and Physics (2009) (7)
Demazure flags, q-Fibonacci polynomials and hypergeometric series (2016) (7)
Filtrations and completions of certain positive level modules of affine algebras (2003) (7)
The dual Lie bialgebra of a Lie bialgebra (1997) (7)
Fundamental representations of quantum groups at roots of 1 (1992) (6)
Notes on quantum groups (1990) (6)
On Multigraded Generalizations of Kirillov–Reshetikhin Modules (2012) (6)
Character formulae and a realization of tilting modules for sl2[t] (2015) (6)
Unitary representations of the maps S1 → su(N, 1) (1987) (5)
Generalized Demazure Modules and Prime Representations in Type D n (2019) (5)
Annihilators of Verma modules for Kac-Moody Lie algebras (1985) (5)
Quantum Affine Algebras and Integrable Quantum Systems (1997) (5)
An application of global Weyl modules of $\lie{sl}_{n+1}[t]$ to invariant theory (2011) (5)
Minimal Affinizations of Representations of quantum groups: the U_q(g)--module structure (1994) (4)
Representations of derivation simple algebras (1997) (4)
Modular Interfaces: Modular Lie Algebras, Quantum Groups, and Lie Superalgebras (1997) (4)
Square-bounded partitions and Catalan numbers (2011) (3)
Square Partitions and Catalan Numbers (2009) (3)
An application of Lie superalgebras to affine Lie algebras (1990) (3)
Macdonald polynomials and level two Demazure modules for affine sln+1 (2021) (3)
Tensor products of level zero representations (2000) (3)
Borel–de Siebenthal pairs, global Weyl modules and Stanley–Reisner rings (2017) (3)
An application of free Lie algebras to current algebras and their representation theory (2005) (3)
Quantum Affϊne Algebras (1991) (2)
Representations of modular Lie algebras through quantum groups (1993) (2)
ON THE WORK OF V. G. DRINFELD (1990) (2)
Reprint of: Minimal affinizations as projective objects☆☆☆ (2011) (2)
Macdonald Polynomials and level two Demazure modules for affine $\mathfrak{sl}_{n+1}$. (2019) (1)
Character formulae and a realization of tilting modules for $\mathfrak{sl}_2[t]$ (2014) (1)
Representations of quantumso(8) and related quantum algebras (1994) (1)
Quantum Affine Algebras, Graded Limits and Flags (2022) (1)
ec 2 00 0 TENSOR PRODUCTS OF LEVEL ZERO REPRESENTATIONS (2000) (0)
Prime representations from a homological perspective (2012) (0)
On Multigraded Generalizations of Kirillov–Reshetikhin Modules (2013) (0)
吀�ematic Semester on New Directions in Lie 吀�eory (2013) (0)
Representations of Kac-Moody Algebras and Combinatorics (0)
Borel–de Siebenthal pairs, global Weyl modules and Stanley–Reisner rings (2018) (0)
Higher order Kirillov-Reshetikhin modules, Imaginary modules and Monoidal Categorification for $U_q(A_n^{(1)})$ (2022) (0)
Symmetry in mathematics and physics : conference in honor of V.S. Varadarajan's birthday, January 18-20, 2008, University of California, Los Angeles, California (2009) (0)
Demazure flags, q-Fibonacci polynomials and hypergeometric series (2018) (0)
Demazure Modules, Fusion Products and Q-Systems (2014) (0)
v 2 2 2 A pr 1 99 7 Quantum Affine Algebras at Roots of Unity (1997) (0)
Macdonald polynomials and BGG reciprocity for current algebras (2013) (0)
2 8 Ju n 20 01 BRAID GROUP ACTIONS AND TENSOR PRODUCTS (0)
Symmetric Functions and Representations of Quantum (2000) (0)
Algebra & Number Theory (2014) (0)
Q A ] 22 S ep 2 01 0 Minimal a ffi nizations as projective objects (2010) (0)
Some properties of ₂-graded determinants (1997) (0)
Book Review: Lectures on representation theory and Knizhnik-Zamolodchikov equations (2000) (0)
A characterization of some simple Lie algebras in prime characteristic (1997) (0)
Resolutions and a Weyl Character formula for prime representations of quantum affine sl_{n+1} (2017) (0)

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