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Dive into the research topics where Vyjayanthi Chari is active.

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Featured researches published by Vyjayanthi Chari.


Communications in Mathematical Physics | 1991

Quantum affine algebras

Vyjayanthi Chari; Andrew Pressley

AbstractWe classify the finite-dimensional irreducible representations of the quantum affine algebra


Representation Theory of The American Mathematical Society | 2001

Weyl modules for classical and quantum affine algebras

Vyjayanthi Chari; Andrew Pressley


International Mathematics Research Notices | 2001

On the fermionic formula and the Kirillov-Reshetikhin conjecture

Vyjayanthi Chari

U_q (\hat sl_2 )


International Mathematics Research Notices | 2002

Braid group actions and tensor products

Vyjayanthi Chari


Representation Theory of The American Mathematical Society | 1997

Quantum affine algebras at roots of unity

Vyjayanthi Chari; Andrew Pressley

in terms of highest weights (this result has a straightforward generalization for arbitrary quantum affine algebras). We also give an explicit construction of all such representations by means of an evaluation homomorphism


Communications in Mathematical Physics | 2006

The Restricted Kirillov–Reshetikhin Modules for the Current and Twisted Current Algebras

Vyjayanthi Chari; Adriano Moura


Communications in Mathematical Physics | 1996

Yangians, integrable quantum systems and Dorey's rule

Vyjayanthi Chari; Andrew Pressley

U_q (\hat sl_2 ) \to U_q (sl_2 )


Advances in Mathematics | 2007

Current algebras, highest weight categories and quivers

Vyjayanthi Chari; Jacob Greenstein


Journal of Algebra | 1988

Integrable representations of twisted affine Lie algebras

Vyjayanthi Chari; Andrew Pressley

, first introduced by M. Jimbo. This is used to compute the trigonometricR-matrices associated to finite-dimensional representations of


International Mathematics Research Notices | 2005

Characters and blocks for finite-dimensional representations of quantum affine algebras

Vyjayanthi Chari; Adriano Moura

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Adriano Moura

State University of Campinas

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Ivan Penkov

Jacobs University Bremen

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Nathan Manning

University of California

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R. J. Dolbin

University of California

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Deniz Kus

University of Cologne

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Bogdan Ion

University of Pittsburgh

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