Factorizable Sheaves and Quantum Groups

Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
20 July 1998

Differential & Riemannian geometry; Algebraic geometry; Analytic topology

Series: Lecture Notes in Mathematics

This text 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 pervase 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.

By: Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: 1998 ed.
Volume: 1691
Dimensions: Height: 279mm, Width: 216mm, Spine: 16mm
Weight: 950g
ISBN: 9783540646198
ISBN 10: 3540646191
Series: Lecture Notes in Mathematics
Pages: 290
Publication Date: 20 July 1998
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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 .