Factorizable Sheaves and Quantum Groups / Edition 1

by Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman

Overview

The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces. As an application, the bundles of conformal blocks over the moduli spaces of curves are studied. The book is intended for specialists in group representations and algebraic geometry.

Product Details

ISBN-13:	9783540646198
Publisher:	Springer Berlin Heidelberg
Publication date:	09/02/1998
Series:	Lecture Notes in Mathematics , #1691
Edition description:	1998
Pages:	290
Product dimensions:	8.50(w) x 10.98(h) x 0.03(d)

Table of Contents

Acknowledgement.- Overview.- Intersection cohomology of real arrangements.- Configuration spaces and quantum groups.- Tensor categories arising from configuration spaces.- Localization on—1.- Modular structure on the category .