Quantum affine algebras at roots of unity and equivariant K-theory

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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.
Latex, 5 pages, to appear in Comptes Rendus Acad. Sciences

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/77262

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9808038
 http://arxiv.org/abs/math/9808038

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arXiv