7 citations · 7 across the 3 of their papers we have counts for
6 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…
Elliptic Central Characters and Blocks of Finite Dimensional Representations of Quantum Affine Algebras
Pavel I. Etingof, Adriano A. Moura
The category of finite dimensional (type 1) representations of a quantum affine algebra is not semisimple. However, as any abelian category with finite-len…
On the quantum Kazhdan-Lusztig functor
Pavel Etingof, Adriano Moura
We study a quantum version of the Kazhdan-Lusztig functor. Namely, we prove that there exists a fully faithfull exact tensor functor from the category of finite dimensional represe…
Elliptic Dynamical R-Matrices from the Monodromy of the q-Knizhnik-Zamolodchikov Equations for the Standard Representation of Uq(sl(n+1))
Adriano Adrega de Moura
We give an explicit formula for the exchange matrix correponding to the tensor product of two copies of the natural (standard) evaluation representation of the quantum group associ…