Title: Factorizable sheaves and quantum groups
First published: 1998
Description: 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.
Subjects: Sheaf theory, Quantum groups, Representations of groups, Mathematical physics, Sheaves, theory of, Quantum theory, Algebraic topology, Algebraic Geometry, Mathematics, Geometry, algebraic, Algebra, Non-associative Rings and Algebras
LC classification: QA3 .L28 no. 1691, QC20.7.G76 .L28 no. 1691