116 citations · 721 across the 70 of their papers we have counts for
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The restricted Kirillov-Reshetikhin modules for the current and twisted current algebras
Vyjayanthi Chari, Adriano Moura
We define a family of graded restricted modules for the polynomial current algebra associated to a simple Lie algebra. We study the graded character of these modules and show that…
Characters of fundamental representations of quantum affine algebras
Vyjayanthi Chari, Adriano Moura
We give closed formulae for the q-characters of the fundamental representations of the quantum loop algebra of a classical Lie algebra in terms of a family of partitions satisfying…
An application of free Lie algebras to current algebras and their representation theory
Vyjayanthi Chari, Jacob Greenstein
We realize the current algebra of a Kac-Moody algebra as a quotient of a semi-direct product of the Kac-Moody Lie algebra and the free Lie algebra of the Kac-Moody algebra. We use…
Weyl, Fusion and Demazure modules for the current algebra of sl_{r+1}
Vyjayanthi Chari, Sergei Loktev
We construct a Poincare-Birkhoff-Witt type basis for the Weyl modules of the current algebra of . As a corollary we prove a conjecture made by Chari and Pressley on the d…