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AuthorBezrukavnikov, Roman. author
TitleFactorizable Sheaves and Quantum Groups [electronic resource] / by Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1998
Connect tohttp://dx.doi.org/10.1007/BFb0092343
Descript X, 290 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Algebraic geometry Nonassociative rings Rings (Algebra) Differential geometry Topology Algebraic topology Quantum physics Mathematics Algebraic Geometry Differential Geometry Topology Non-associative Rings and Algebras Algebraic Topology Quantum Physics



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