Quantum affine algebras at roots of unity and equivariant K-theory
Quantum Algebra
2007-05-23 v1
Abstract
In this short note, we show that the Ginzburg-Vasserot map between the quantum affine algebra of type A_(n-1) and the equivariant K-theory group of the Steinberg Variety (of n-step flags in C^d) restricts and remains surjective at the level of the integral forms. In particular, this shows that the parametrization of irreducible, finite-dimensional modules and the Kazhdan-Lusztig multiplicity formulas are valid for the (restricted) specialization at roots of unity.
Keywords
Cite
@article{arxiv.math/9808038,
title = {Quantum affine algebras at roots of unity and equivariant K-theory},
author = {Schiffmann Olivier},
journal= {arXiv preprint arXiv:math/9808038},
year = {2007}
}
Comments
Latex, 5 pages, to appear in Comptes Rendus Acad. Sciences