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Author ID: chari.vyjayanthi Recent zbMATH articles by "Chari, Vyjayanthi"
Published as: Chari, Vyjayanthi
Homepage: http://math.ucr.edu/~chari/
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Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 2,779 times in 1,528 Documents Cited by Year
A guide to quantum groups. Zbl 0839.17009
Chari, Vyjayanthi; Pressley, Andrew
753
1994
A guide to quantum groups. Zbl 0839.17010
Chari, Vyjayanthi; Pressley, Andrew
189
1995
Quantum affine algebras. Zbl 0739.17004
Chari, Vyjayanthi; Pressley, Andrew
153
1991
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
115
2001
Quantum affine algebras and their representations. Zbl 0855.17009
Chari, Vyjayanthi; Pressley, Andrew
105
1995
Integrable representations of affine Lie-algebras. Zbl 0603.17011
Chari, Vyjayanthi
103
1986
Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\). Zbl 1161.17318
Chari, Vyjayanthi; Loktev, Sergei
75
2006
New unitary representations of loop groups. Zbl 0603.17012
Chari, Vyjayanthi; Pressley, Andrew
69
1986
A categorical approach to Weyl modules. Zbl 1245.17004
Chari, Vyjayanthi; Fourier, Ghislain; Khandai, Tanusree
62
2010
An algebraic characterization of the affine canonical basis. Zbl 0964.17013
Beck, Jonathan; Chari, Vyjayanthi; Pressley, Andrew
59
1999
Quantum affine algebras and affine Hecke algebras. Zbl 0881.17011
Chari, Vyjayanthi; Pressley, Andrew
58
1996
Braid group actions and tensor products. Zbl 0990.17009
Chari, Vyjayanthi
57
2002
On the fermionic formula and the Kirillov-Reshetikhin conjecture. Zbl 0982.17004
Chari, Vyjayanthi
57
2001
Minimal affinizations of representations of quantum groups: The rank 2 case. Zbl 0855.17010
Chari, Vyjayanthi
47
1995
Twisted quantum affine algebras. Zbl 0915.17013
Chari, Vyjayanthi; Pressley, Andrew
43
1998
Fundamental representations of Yangians and singularities of R-matrices. Zbl 0726.17014
Chari, Vyjayanthi; Pressley, Andrew
39
1991
The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras. Zbl 1118.17007
Chari, Vyjayanthi; Moura, Adriano
39
2006
Beyond Kirillov-Reshetikhin modules. Zbl 1277.17009
Chari, Vyjayanthi; Hernandez, David
38
2010
Yangians and R-matrices. Zbl 0726.17013
Chari, Vyjayanthi; Pressley, Andrew
34
1990
Minimal affinizations of representations of quantum groups: The simply laced case. Zbl 0893.17010
Chari, Vyjayanthi; Pressley, Andrew
29
1996
Integrable representations of twisted affine Lie algebras. Zbl 0661.17023
Chari, Vyjayanthi; Pressley, Andrew
28
1988
BGG reciprocity for current algebras. Zbl 1337.17016
Chari, Vyjayanthi; Ion, Bogdan
28
2015
A new family of irreducible, integrable modules for affine Lie algebras. Zbl 0608.17009
Chari, Vyjayanthi; Pressley, Andrew
27
1987
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
27
1997
Yangians, integrable quantum systems and Dorey’s rule. Zbl 0869.17015
Chari, Vyjayanthi; Pressley, Andrew
27
1996
Minimal affinizations of representations of quantum groups: The nonsimply-laced case. Zbl 0855.17011
Chari, Vyjayanthi; Pressley, Andrew
27
1995
Current algebras, highest weight categories and quivers. Zbl 1222.17010
Chari, Vyjayanthi; Greenstein, Jacob
26
2007
Characters and blocks for finite-dimensional representations of quantum affine algebras. Zbl 1074.17004
Chari, Vyjayanthi; Moura, Adriano A.
25
2005
Unitary representations of the Virasoro algebra and a conjecture of Kac. Zbl 0661.17022
Chari, Vyjayanthi; Pressley, Andrew
21
1988
Demazure modules, fusion products and \(Q\)-systems. Zbl 1361.17024
Chari, Vyjayanthi; Venkatesh, R.
19
2015
Minimal affinization of representations of quantum groups: The irregular case. Zbl 0857.17011
Chari, Vyjayanthi; Pressley, Andrew
18
1996
Weyl modules for the twisted loop algebras. Zbl 1151.17002
Chari, Vyjayanthi; Fourier, Ghislain; Senesi, Prasad
18
2008
Small representations of quantum affine algebras. Zbl 0795.17008
Chari, Vyjayanthi; Pressley, Andrew
17
1994
A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras. Zbl 1165.17005
Chari, Vyjayanthi; Greenstein, Jacob
17
2009
Spectral characters of finite-dimensional representations of affine algebras. Zbl 1195.17018
Chari, Vyjayanthi; Moura, Adriano A.
17
2004
Factorization of representations of quantum affine algebras. Zbl 1013.17503
Chari, Vyjayanthi; Pressley, Andrew
13
1997
Weyl modules for the hyperspecial current algebra. Zbl 1376.17035
Chari, Vyjayanthi; Ion, Bogdan; Kus, Deniz
12
2015
Monomial bases of quantized enveloping algebras. Zbl 1054.17503
Chari, Vyjayanthi; Xi, Nanhua
12
1999
Integrable and Weyl modules for quantum affine \(\operatorname {sl}_2\). Zbl 1034.17008
Chari, Vyjayanthi; Pressley, Andrew
12
2001
On the Harish-Chandra homomorphism for infinite-dimensional Lie algebras. Zbl 0545.17003
Chari, Vyjayanthi; Ilangovan, S.
11
1984
Indecomposable restricted representations of quantum \(sl_ 2\). Zbl 0816.17007
Chari, Vyjayanthi; Premet, Alexander
11
1994
BGG reciprocity for current algebras. Zbl 1292.17015
Bennett, Matthew; Chari, Vyjayanthi; Manning, Nathan
11
2012
Kirillov-Reshetikhin modules associated to \(G_2\). Zbl 1232.17033
Chari, Vyjayanthi; Moura, Adriano
11
2007
Graded level zero integrable representations of affine Lie algebras. Zbl 1195.17017
Chari, Vyjayanthi; Greenstein, Jacob
11
2008
Tensor products and \(q\)-characters of HL-modules and monoidal categorifications. (Produits tensoriels et \(Q\)-caractères de HL-modules et catégorifications monoïdales.) Zbl 1446.17026
Brito, Matheus; Chari, Vyjayanthi
11
2019
Prime representations from a homological perspective. Zbl 1369.17008
Chari, Vyjayanthi; Moura, Adriano; Young, Charles
11
2013
Yangians: their representations and characters. Zbl 0876.17013
Chari, Vyjayanthi; Pressley, Andrew
9
1996
Ideals in parabolic subalgebras of simple Lie algebras. Zbl 1225.17013
Chari, Vyjayanthi; Dolbin, R. J.; Ridenour, T.
9
2009
On homomorphisms between global Weyl modules. Zbl 1250.17010
Bennett, Matthew; Chari, Vyjayanthi; Greenstein, Jacob; Manning, Nathan
9
2011
Demazure modules of level two and prime representations of quantum affine \(\mathfrak{sl}_{n+1}\). Zbl 1405.17014
Brito, Matheus; Chari, Vyjayanthi; Moura, Adriano
9
2018
Realization of level one representations of \(U_q(\hat{\mathfrak g})\) at a root of unity. Zbl 1024.17008
Chari, Vyjayanthi; Jing, Naihuan
8
2001
Modules with Demazure flags and character formulae. Zbl 1286.05178
Chari, Vyjayanthi; Schneider, Lisa; Shereen, Peri; Wand, Jeffrey
8
2014
Representations of double affine Lie algebras. Zbl 1107.17012
Chari, Vyjayanthi; Le, Thang
8
2003
A Steinberg type decomposition theorem for higher level Demazure modules. Zbl 1338.17021
Chari, Vyjayanthi; Shereen, Peri; Venkatesh, R.; Wand, Jeffrey
8
2016
Posets, tensor products and Schur positivity. Zbl 1320.17004
Chari, Vyjayanthi; Fourier, Ghislain; Sagaki, Daisuke
8
2014
Minimal affinizations as projective objects. Zbl 1207.81040
Chari, Vyjayanthi; Greenstein, Jacob
7
2011
Macdonald polynomials and BGG reciprocity for current algebras. Zbl 1367.17017
Bennett, Matthew; Berenstein, Arkady; Chari, Vyjayanthi; Khoroshkin, Anton; Loktev, Sergey
7
2014
Representations of affine and toroidal Lie algebras. Zbl 1257.17033
Chari, Vyjayanthi
6
2011
Faces of polytopes and Koszul algebras. Zbl 1277.17017
Chari, Vyjayanthi; Khare, Apoorva; Ridenour, Tim
6
2012
Demazure flags, Chebyshev polynomials, partial and mock theta functions. Zbl 1418.17052
Biswal, Rekha; Chari, Vyjayanthi; Schneider, Lisa; Viswanath, Sankaran
6
2016
Macdonald polynomials and level two Demazure modules for affine \(\mathfrak{sl}_{n+1}\). Zbl 1489.17014
Biswal, Rekha; Chari, Vyjayanthi; Shereen, Peri; Wand, Jeffrey
5
2021
An application of free Lie algebras to polynomial current algebras and their representation theory. Zbl 1170.17304
Chari, Vyjayanthi; Greenstein, Jacob
5
2005
Characters of fundamental representations of quantum affine algebras. Zbl 1101.17016
Chari, Vyjayanthi; Moura, Adriano A.
5
2006
Tilting modules for the current algebra of a simple Lie algebra. Zbl 1317.17016
Bennett, Matthew; Chari, Vyjayanthi
5
2012
Branched crystals and the category \(\mathcal O\). Zbl 1096.17007
Chari, Vyjayanthi; Jakelić, Dijana; Moura, Adriano A.
5
2005
Fundamental representations of quantum groups at roots of 1. Zbl 0954.17503
Chari, Vyjayanthi; Pressley, Andrew
4
1992
Demazure flags, \(q\)-Fibonacci polynomials and hypergeometric series. Zbl 1473.17022
Biswal, Rekha; Chari, Vyjayanthi; Kus, Deniz
4
2018
Quantum loop modules. Zbl 1030.17010
Chari, Vyjayanthi; Greenstein, Jacob
4
2003
On multigraded generalizations of Kirillov-Reshetikhin modules. Zbl 1368.17009
Bianchi, Angelo; Chari, Vyjayanthi; Fourier, Ghislain; Moura, Adriano
4
2014
Minimal cyclic representations of quantum groups at roots of unity. Zbl 0747.17016
Chari, Vyjayanthi; Pressley, Andrew
3
1991
Integrable representations of Kac-Moody algebras: Results and open problems. Zbl 0779.17023
Chari, Vyjayanthi; Pressley, Andrew
3
1989
Annihilators of Verma modules for Kac-Moody Lie algebras. Zbl 0584.17008
Chari, Vyjayanthi
3
1985
Representations of modular Lie algebras through quantum groups. Zbl 0796.17018
Chari, Vyjayanthi; Pressley, Andrew
3
1993
An application of global Weyl modules of \(\mathfrak{sl}_{n+1}[t]\) to invariant theory. Zbl 1300.13005
Chari, Vyjayanthi; Loktev, Sergey
3
2012
Symmetric functions and representations of quantum affine algebras. Zbl 1021.17011
Chari, Vyjayanthi; Kleber, Michael
3
2002
Character formulae and a realization of tilting modules for \(\mathfrak{sl}_2 [t]\). Zbl 1378.17015
Bennett, Matthew; Chari, Vyjayanthi
3
2015
Reprint of: “Minimal affinizations as projective objects”. Zbl 1220.81143
Chari, Vyjayanthi; Greenstein, Jacob
2
2011
Square-bounded partitions and Catalan numbers. Zbl 1243.05028
Bennett, Matthew; Chari, Vyjayanthi; Dolbin, R. J.; Manning, Nathan
2
2011
Unitary representations of the maps \(S^1\to\mathfrak{su}(N,1)\). Zbl 0662.17008
Chari, Vyjayanthi; Pressley, Andrew
2
1987
Quantum affine algebras and integrable quantum systems. Zbl 0967.17014
Chari, Vyjayanthi; Pressley, Andrew
2
1997
Filtrations and completions of certain positive level modules of affine algebras. Zbl 1154.17302
Chari, Vyjayanthi; Greenstein, Jacob
2
2005
Borel-de Siebenthal pairs, global Weyl modules and Stanley-Reisner rings. Zbl 1448.17010
Chari, Vyjayanthi; Kus, Deniz; Odell, Matt
2
2018
Symmetry in mathematics and physics. Conference in honor of V. S. Varadarajan’s 70th birthday, Los Angeles, CA, USA, January 18–20, 2008. Zbl 1168.22001
1
2009
An application of Lie superalgebras to affine Lie algebras. Zbl 0717.17020
Chari, Vyjayanthi; Pressley, Andrew
1
1990
Generalized Demazure modules and prime representations in type \(D_n\). Zbl 1497.17008
Chari, Vyjayanthi; Davis, Justin; Moruzzi, Ryan
1
2021
Notes on quantum groups. Zbl 1051.17500
Pressley, Andrew; Chari, Vyjayanthi
1
1990
Recent developments in algebraic and combinatorial aspects of representation theory. International congress of the mathematicians satellite conference on algebraic and combinatorial approaches to representation theory, National Institute of Advanced Studies, Bangalore, India, August 12–16, 2010, and the follow-up conference, University of California, Riverside, CA, USA, May 18–20, 2012. Zbl 1279.17001
1
2013
Macdonald polynomials and level two Demazure modules for affine \(\mathfrak{sl}_{n+1}\). Zbl 1489.17014
Biswal, Rekha; Chari, Vyjayanthi; Shereen, Peri; Wand, Jeffrey
5
2021
Generalized Demazure modules and prime representations in type \(D_n\). Zbl 1497.17008
Chari, Vyjayanthi; Davis, Justin; Moruzzi, Ryan
1
2021
Tensor products and \(q\)-characters of HL-modules and monoidal categorifications. (Produits tensoriels et \(Q\)-caractères de HL-modules et catégorifications monoïdales.) Zbl 1446.17026
Brito, Matheus; Chari, Vyjayanthi
11
2019
Demazure modules of level two and prime representations of quantum affine \(\mathfrak{sl}_{n+1}\). Zbl 1405.17014
Brito, Matheus; Chari, Vyjayanthi; Moura, Adriano
9
2018
Demazure flags, \(q\)-Fibonacci polynomials and hypergeometric series. Zbl 1473.17022
Biswal, Rekha; Chari, Vyjayanthi; Kus, Deniz
4
2018
Borel-de Siebenthal pairs, global Weyl modules and Stanley-Reisner rings. Zbl 1448.17010
Chari, Vyjayanthi; Kus, Deniz; Odell, Matt
2
2018
A Steinberg type decomposition theorem for higher level Demazure modules. Zbl 1338.17021
Chari, Vyjayanthi; Shereen, Peri; Venkatesh, R.; Wand, Jeffrey
8
2016
Demazure flags, Chebyshev polynomials, partial and mock theta functions. Zbl 1418.17052
Biswal, Rekha; Chari, Vyjayanthi; Schneider, Lisa; Viswanath, Sankaran
6
2016
BGG reciprocity for current algebras. Zbl 1337.17016
Chari, Vyjayanthi; Ion, Bogdan
28
2015
Demazure modules, fusion products and \(Q\)-systems. Zbl 1361.17024
Chari, Vyjayanthi; Venkatesh, R.
19
2015
Weyl modules for the hyperspecial current algebra. Zbl 1376.17035
Chari, Vyjayanthi; Ion, Bogdan; Kus, Deniz
12
2015
Character formulae and a realization of tilting modules for \(\mathfrak{sl}_2 [t]\). Zbl 1378.17015
Bennett, Matthew; Chari, Vyjayanthi
3
2015
Modules with Demazure flags and character formulae. Zbl 1286.05178
Chari, Vyjayanthi; Schneider, Lisa; Shereen, Peri; Wand, Jeffrey
8
2014
Posets, tensor products and Schur positivity. Zbl 1320.17004
Chari, Vyjayanthi; Fourier, Ghislain; Sagaki, Daisuke
8
2014
Macdonald polynomials and BGG reciprocity for current algebras. Zbl 1367.17017
Bennett, Matthew; Berenstein, Arkady; Chari, Vyjayanthi; Khoroshkin, Anton; Loktev, Sergey
7
2014
On multigraded generalizations of Kirillov-Reshetikhin modules. Zbl 1368.17009
Bianchi, Angelo; Chari, Vyjayanthi; Fourier, Ghislain; Moura, Adriano
4
2014
Prime representations from a homological perspective. Zbl 1369.17008
Chari, Vyjayanthi; Moura, Adriano; Young, Charles
11
2013
Recent developments in algebraic and combinatorial aspects of representation theory. International congress of the mathematicians satellite conference on algebraic and combinatorial approaches to representation theory, National Institute of Advanced Studies, Bangalore, India, August 12–16, 2010, and the follow-up conference, University of California, Riverside, CA, USA, May 18–20, 2012. Zbl 1279.17001
1
2013
BGG reciprocity for current algebras. Zbl 1292.17015
Bennett, Matthew; Chari, Vyjayanthi; Manning, Nathan
11
2012
Faces of polytopes and Koszul algebras. Zbl 1277.17017
Chari, Vyjayanthi; Khare, Apoorva; Ridenour, Tim
6
2012
Tilting modules for the current algebra of a simple Lie algebra. Zbl 1317.17016
Bennett, Matthew; Chari, Vyjayanthi
5
2012
An application of global Weyl modules of \(\mathfrak{sl}_{n+1}[t]\) to invariant theory. Zbl 1300.13005
Chari, Vyjayanthi; Loktev, Sergey
3
2012
On homomorphisms between global Weyl modules. Zbl 1250.17010
Bennett, Matthew; Chari, Vyjayanthi; Greenstein, Jacob; Manning, Nathan
9
2011
Minimal affinizations as projective objects. Zbl 1207.81040
Chari, Vyjayanthi; Greenstein, Jacob
7
2011
Representations of affine and toroidal Lie algebras. Zbl 1257.17033
Chari, Vyjayanthi
6
2011
Reprint of: “Minimal affinizations as projective objects”. Zbl 1220.81143
Chari, Vyjayanthi; Greenstein, Jacob
2
2011
Square-bounded partitions and Catalan numbers. Zbl 1243.05028
Bennett, Matthew; Chari, Vyjayanthi; Dolbin, R. J.; Manning, Nathan
2
2011
A categorical approach to Weyl modules. Zbl 1245.17004
Chari, Vyjayanthi; Fourier, Ghislain; Khandai, Tanusree
62
2010
Beyond Kirillov-Reshetikhin modules. Zbl 1277.17009
Chari, Vyjayanthi; Hernandez, David
38
2010
A family of Koszul algebras arising from finite-dimensional representations of simple Lie algebras. Zbl 1165.17005
Chari, Vyjayanthi; Greenstein, Jacob
17
2009
Ideals in parabolic subalgebras of simple Lie algebras. Zbl 1225.17013
Chari, Vyjayanthi; Dolbin, R. J.; Ridenour, T.
9
2009
Symmetry in mathematics and physics. Conference in honor of V. S. Varadarajan’s 70th birthday, Los Angeles, CA, USA, January 18–20, 2008. Zbl 1168.22001
1
2009
Weyl modules for the twisted loop algebras. Zbl 1151.17002
Chari, Vyjayanthi; Fourier, Ghislain; Senesi, Prasad
18
2008
Graded level zero integrable representations of affine Lie algebras. Zbl 1195.17017
Chari, Vyjayanthi; Greenstein, Jacob
11
2008
Current algebras, highest weight categories and quivers. Zbl 1222.17010
Chari, Vyjayanthi; Greenstein, Jacob
26
2007
Kirillov-Reshetikhin modules associated to \(G_2\). Zbl 1232.17033
Chari, Vyjayanthi; Moura, Adriano
11
2007
Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\). Zbl 1161.17318
Chari, Vyjayanthi; Loktev, Sergei
75
2006
The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras. Zbl 1118.17007
Chari, Vyjayanthi; Moura, Adriano
39
2006
Characters of fundamental representations of quantum affine algebras. Zbl 1101.17016
Chari, Vyjayanthi; Moura, Adriano A.
5
2006
Characters and blocks for finite-dimensional representations of quantum affine algebras. Zbl 1074.17004
Chari, Vyjayanthi; Moura, Adriano A.
25
2005
An application of free Lie algebras to polynomial current algebras and their representation theory. Zbl 1170.17304
Chari, Vyjayanthi; Greenstein, Jacob
5
2005
Branched crystals and the category \(\mathcal O\). Zbl 1096.17007
Chari, Vyjayanthi; Jakelić, Dijana; Moura, Adriano A.
5
2005
Filtrations and completions of certain positive level modules of affine algebras. Zbl 1154.17302
Chari, Vyjayanthi; Greenstein, Jacob
2
2005
Spectral characters of finite-dimensional representations of affine algebras. Zbl 1195.17018
Chari, Vyjayanthi; Moura, Adriano A.
17
2004
Representations of double affine Lie algebras. Zbl 1107.17012
Chari, Vyjayanthi; Le, Thang
8
2003
Quantum loop modules. Zbl 1030.17010
Chari, Vyjayanthi; Greenstein, Jacob
4
2003
Braid group actions and tensor products. Zbl 0990.17009
Chari, Vyjayanthi
57
2002
Symmetric functions and representations of quantum affine algebras. Zbl 1021.17011
Chari, Vyjayanthi; Kleber, Michael
3
2002
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
115
2001
On the fermionic formula and the Kirillov-Reshetikhin conjecture. Zbl 0982.17004
Chari, Vyjayanthi
57
2001
Integrable and Weyl modules for quantum affine \(\operatorname {sl}_2\). Zbl 1034.17008
Chari, Vyjayanthi; Pressley, Andrew
12
2001
Realization of level one representations of \(U_q(\hat{\mathfrak g})\) at a root of unity. Zbl 1024.17008
Chari, Vyjayanthi; Jing, Naihuan
8
2001
An algebraic characterization of the affine canonical basis. Zbl 0964.17013
Beck, Jonathan; Chari, Vyjayanthi; Pressley, Andrew
59
1999
Monomial bases of quantized enveloping algebras. Zbl 1054.17503
Chari, Vyjayanthi; Xi, Nanhua
12
1999
Twisted quantum affine algebras. Zbl 0915.17013
Chari, Vyjayanthi; Pressley, Andrew
43
1998
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
27
1997
Factorization of representations of quantum affine algebras. Zbl 1013.17503
Chari, Vyjayanthi; Pressley, Andrew
13
1997
Quantum affine algebras and integrable quantum systems. Zbl 0967.17014
Chari, Vyjayanthi; Pressley, Andrew
2
1997
Quantum affine algebras and affine Hecke algebras. Zbl 0881.17011
Chari, Vyjayanthi; Pressley, Andrew
58
1996
Minimal affinizations of representations of quantum groups: The simply laced case. Zbl 0893.17010
Chari, Vyjayanthi; Pressley, Andrew
29
1996
Yangians, integrable quantum systems and Dorey’s rule. Zbl 0869.17015
Chari, Vyjayanthi; Pressley, Andrew
27
1996
Minimal affinization of representations of quantum groups: The irregular case. Zbl 0857.17011
Chari, Vyjayanthi; Pressley, Andrew
18
1996
Yangians: their representations and characters. Zbl 0876.17013
Chari, Vyjayanthi; Pressley, Andrew
9
1996
A guide to quantum groups. Zbl 0839.17010
Chari, Vyjayanthi; Pressley, Andrew
189
1995
Quantum affine algebras and their representations. Zbl 0855.17009
Chari, Vyjayanthi; Pressley, Andrew
105
1995
Minimal affinizations of representations of quantum groups: The rank 2 case. Zbl 0855.17010
Chari, Vyjayanthi
47
1995
Minimal affinizations of representations of quantum groups: The nonsimply-laced case. Zbl 0855.17011
Chari, Vyjayanthi; Pressley, Andrew
27
1995
A guide to quantum groups. Zbl 0839.17009
Chari, Vyjayanthi; Pressley, Andrew
753
1994
Small representations of quantum affine algebras. Zbl 0795.17008
Chari, Vyjayanthi; Pressley, Andrew
17
1994
Indecomposable restricted representations of quantum \(sl_ 2\). Zbl 0816.17007
Chari, Vyjayanthi; Premet, Alexander
11
1994
Representations of modular Lie algebras through quantum groups. Zbl 0796.17018
Chari, Vyjayanthi; Pressley, Andrew
3
1993
Fundamental representations of quantum groups at roots of 1. Zbl 0954.17503
Chari, Vyjayanthi; Pressley, Andrew
4
1992
Quantum affine algebras. Zbl 0739.17004
Chari, Vyjayanthi; Pressley, Andrew
153
1991
Fundamental representations of Yangians and singularities of R-matrices. Zbl 0726.17014
Chari, Vyjayanthi; Pressley, Andrew
39
1991
Minimal cyclic representations of quantum groups at roots of unity. Zbl 0747.17016
Chari, Vyjayanthi; Pressley, Andrew
3
1991
Yangians and R-matrices. Zbl 0726.17013
Chari, Vyjayanthi; Pressley, Andrew
34
1990
An application of Lie superalgebras to affine Lie algebras. Zbl 0717.17020
Chari, Vyjayanthi; Pressley, Andrew
1
1990
Notes on quantum groups. Zbl 1051.17500
Pressley, Andrew; Chari, Vyjayanthi
1
1990
Integrable representations of Kac-Moody algebras: Results and open problems. Zbl 0779.17023
Chari, Vyjayanthi; Pressley, Andrew
3
1989
Integrable representations of twisted affine Lie algebras. Zbl 0661.17023
Chari, Vyjayanthi; Pressley, Andrew
28
1988
Unitary representations of the Virasoro algebra and a conjecture of Kac. Zbl 0661.17022
Chari, Vyjayanthi; Pressley, Andrew
21
1988
A new family of irreducible, integrable modules for affine Lie algebras. Zbl 0608.17009
Chari, Vyjayanthi; Pressley, Andrew
27
1987
Unitary representations of the maps \(S^1\to\mathfrak{su}(N,1)\). Zbl 0662.17008
Chari, Vyjayanthi; Pressley, Andrew
2
1987
Integrable representations of affine Lie-algebras. Zbl 0603.17011
Chari, Vyjayanthi
103
1986
New unitary representations of loop groups. Zbl 0603.17012
Chari, Vyjayanthi; Pressley, Andrew
69
1986
Annihilators of Verma modules for Kac-Moody Lie algebras. Zbl 0584.17008
Chari, Vyjayanthi
3
1985
On the Harish-Chandra homomorphism for infinite-dimensional Lie algebras. Zbl 0545.17003
Chari, Vyjayanthi; Ilangovan, S.
11
1984
all top 5

Cited by 1,366 Authors

54 Chari, Vyjayanthi
25 Bai, Chengming
24 Ballesteros, Angel
24 Eswara Rao, Senapathi
24 Jing, Naihuan
21 Terwilliger, Paul M.
20 Kashiwara, Masaki
20 Mudrov, Andrey I.
19 Molev, Alexander I.
19 Oh, Se-jin
18 Hernandez, David
18 Herranz, Francisco José
17 Greenstein, Jacob
16 Pressley, Andrew
15 Moura, Adriano A.
15 Scrimshaw, Travis
14 Futorny, Vyacheslav M.
14 Gainutdinov, Azat M.
14 Sheng, Yunhe
13 Tan, Shaobin
12 Feigin, Evgeny
11 Fourier, Ghislain
11 Guay, Nicolas
11 Ito, Tatsuro
11 Kim, Myungho
11 Razumov, Alexander V.
11 Skrypnyk, Taras Volodymyrovych
10 Feĭgin, Boris L’vovich
10 Gavarini, Fabio
10 Guo, Li
10 Gutiérrez-Sagredo, Iván
10 Kulish, Petr Petrovich
10 Mukhin, Evgeny
10 Schilling, Anne
10 Stukopin, Vladimir Alekseevich
10 Su, Yucai
10 Tingley, Peter W.
10 Wendlandt, Curtis
10 Young, Charles A. S.
9 Baseilhac, Pascal
9 Geer, Nathan
9 Kus, Deniz
9 Liu, Jiefeng
9 Patureau-Mirand, Bertrand
8 Du, Jie
8 Etingof, Pavel Il’ich
8 Fioresi, Rita
8 Frenkel, Edward V.
8 Kato, Syu
8 Liu, Ming
8 Naoi, Katsuyuki
8 Okado, Masato
8 Park, Euiyong
8 Savage, Alistair
8 Schroers, Bernd J.
8 Yang, Wenli
8 Zhao, Kaiming
7 Batra, Punita
7 Benkart, Georgia McClure
7 Biswal, Rekha
7 Borowiec, Andrzej Zdzisław
7 Brito, Matheus
7 Daszkiewicz, Marcin
7 Doikou, Anastasia
7 Gurevich, Dmitrii
7 Isaev, Alekseĭ Petrovich
7 Kwon, Jae-Hoon
7 Meusburger, Catherine
7 Neshveyev, Sergey V.
7 Ni, Xiang
7 Regelskis, Vidas
7 Reshetikhin, Nikolai Yu.
7 Runkel, Ingo
7 Varchenko, Alexander Nikolaevich
6 Bianchi, Angelo Calil
6 Cao, Junpeng
6 Chen, Fulin
6 Gautam, Sachin Singh
6 Göhmann, Frank
6 Hu, Jun
6 Hu, Naihong
6 Kamnitzer, Joel
6 Kang, Seok-Jin
6 Kodera, Ryosuke
6 Koelink, Erik
6 Leclerc, Bernard
6 Luo, Yan Feng
6 MacKay, Niall J.
6 Makedonskyi, Ievgen
6 Meljanac, Stjepan
6 Miki, Kei
6 Nakajima, Hiraku
6 Nirov, Khazret S.
6 Ragoucy, Eric
6 Saleur, Hubert
6 Saponov, Pavel A.
6 Sharma, Sachin S.
6 Shi, Kangjie
6 Tang, Rong
6 Venkatesh, Rajendran
...and 1,266 more Authors
all top 5

Cited in 178 Serials

193 Journal of Algebra
85 Nuclear Physics. B
76 Communications in Mathematical Physics
75 Advances in Mathematics
71 Journal of Mathematical Physics
51 Communications in Algebra
50 Letters in Mathematical Physics
49 Journal of Pure and Applied Algebra
48 Algebras and Representation Theory
41 Journal of Geometry and Physics
41 Journal of High Energy Physics
31 Theoretical and Mathematical Physics
29 Selecta Mathematica. New Series
28 Representation Theory
27 Journal of Physics A: Mathematical and Theoretical
26 Transformation Groups
24 Transactions of the American Mathematical Society
23 Mathematische Zeitschrift
18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
17 Physics Letters. B
16 Duke Mathematical Journal
16 Publications of the Research Institute for Mathematical Sciences, Kyoto University
15 Linear Algebra and its Applications
14 Journal of Algebraic Combinatorics
13 Physics Letters. A
13 Journal of Algebra and its Applications
10 Modern Physics Letters A
10 Reports on Mathematical Physics
10 Journal of Combinatorial Theory. Series A
10 Journal of Lie Theory
9 Journal of Noncommutative Geometry
8 Israel Journal of Mathematics
8 Reviews in Mathematical Physics
8 Inventiones Mathematicae
8 Journal für die Reine und Angewandte Mathematik
8 Proceedings of the American Mathematical Society
8 International Journal of Mathematics
7 Compositio Mathematica
7 Mathematische Annalen
7 Journal of the American Mathematical Society
7 Journal of Mathematical Sciences (New York)
7 Communications in Contemporary Mathematics
6 International Journal of Modern Physics A
6 Memoirs of the American Mathematical Society
6 Advances in Applied Mathematics
6 The Electronic Journal of Combinatorics
6 Annales Henri Poincaré
6 Algebraic & Geometric Topology
6 Journal of Statistical Mechanics: Theory and Experiment
6 Science China. Mathematics
5 Journal of Functional Analysis
5 Journal of the London Mathematical Society. Second Series
5 Proceedings of the London Mathematical Society. Third Series
5 Acta Applicandae Mathematicae
5 Advances in Applied Clifford Algebras
5 Frontiers of Mathematics in China
4 Classical and Quantum Gravity
4 Glasgow Mathematical Journal
4 Pacific Journal of Mathematics
4 Journal of Knot Theory and its Ramifications
4 The Ramanujan Journal
4 Journal of Nonlinear Mathematical Physics
4 Oberwolfach Reports
4 Forum of Mathematics, Sigma
3 International Journal of Theoretical Physics
3 Functional Analysis and its Applications
3 European Journal of Combinatorics
3 Forum Mathematicum
3 Indagationes Mathematicae. New Series
3 Algebra Colloquium
3 Theory and Applications of Categories
3 Séminaire Lotharingien de Combinatoire
3 Geometry & Topology
3 Annals of Combinatorics
3 Journal of the European Mathematical Society (JEMS)
3 International Journal of Geometric Methods in Modern Physics
3 Ars Mathematica Contemporanea
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annales de l’Institut Fourier
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Cahiers de Topologie et Géométrie Différentielle Catégoriques
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of the Indian Institute of Science
2 Journal of the Mathematical Society of Japan
2 Nagoya Mathematical Journal
2 Osaka Journal of Mathematics
2 Bulletin of the Korean Mathematical Society
2 Science in China. Series A
2 Annals of Physics
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 St. Petersburg Mathematical Journal
2 Bulletin des Sciences Mathématiques
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Acta Mathematica Sinica. English Series
2 Lobachevskii Journal of Mathematics
2 Czechoslovak Journal of Physics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 International Journal of Quantum Information
...and 78 more Serials
all top 5

Cited in 47 Fields

1,113 Nonassociative rings and algebras (17-XX)
535 Quantum theory (81-XX)
388 Associative rings and algebras (16-XX)
191 Group theory and generalizations (20-XX)
121 Combinatorics (05-XX)
121 Statistical mechanics, structure of matter (82-XX)
105 Category theory; homological algebra (18-XX)
93 Algebraic geometry (14-XX)
86 Differential geometry (53-XX)
78 Topological groups, Lie groups (22-XX)
64 Functional analysis (46-XX)
61 Relativity and gravitational theory (83-XX)
56 Special functions (33-XX)
56 Manifolds and cell complexes (57-XX)
45 Global analysis, analysis on manifolds (58-XX)
43 Commutative algebra (13-XX)
42 Dynamical systems and ergodic theory (37-XX)
22 Mechanics of particles and systems (70-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
15 Number theory (11-XX)
15 Several complex variables and analytic spaces (32-XX)
12 Algebraic topology (55-XX)
11 \(K\)-theory (19-XX)
11 Partial differential equations (35-XX)
9 Convex and discrete geometry (52-XX)
8 Difference and functional equations (39-XX)
8 Operator theory (47-XX)
7 Probability theory and stochastic processes (60-XX)
6 General and overarching topics; collections (00-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Ordinary differential equations (34-XX)
6 Abstract harmonic analysis (43-XX)
5 Computer science (68-XX)
4 General algebraic systems (08-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Geometry (51-XX)
3 Numerical analysis (65-XX)
3 Fluid mechanics (76-XX)
2 Field theory and polynomials (12-XX)
2 Functions of a complex variable (30-XX)
1 History and biography (01-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Optics, electromagnetic theory (78-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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