13 citations · 20 across the 5 of their papers we have counts for
15 papers
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…
Characters and Blocks for Finite-Dimensional Representations of Quantum Affine Algebras
Vyjayanthi Chari, Adriano Moura
We introduce the notion of the ell-weight lattice and the ell-root lattice adapted to the study of finite-dimensional representations of quantum affine algebras. We then study the…
Spectral Characters of Finite-Dimensional Representations of Affine Algebras
Vyjayanthi Chari, Adriano Moura
We introduce the notion of a spectral character for finite-dimensional representations of affine algebras. These can be viewed as a suitable q=1 limit of the elliptic characters de…
Quantum loop modules
Vyjayanthi Chari, Jacob Greenstein
We classify the simple infinite dimensional integrable modules with finite dimensional weight spaces over the quantized enveloping algebra of an untwisted affine algebra. We prove…
Representations of Double Affine Lie algebras
Vyjayanthi Chari, Thang Le
We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their…
Braid Group Actions and Tensor Products
Vyjayanthi Chari
We define an action of the braid group of a simple Lie algebra on the space of imaginary roots in the corresponding quantum affine algebra. We then use this action to determine an…