1.

Record Nr.

UNINA9910146303803321

Autore

Bezrukavnikov Roman <1973->

Titolo

Factorizable sheaves and quantum groups / / Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer-Verlag, , [1998]

©1998

ISBN

3-540-69231-2

Edizione

[1st ed. 1998.]

Descrizione fisica

1 online resource (X, 290 p.)

Collana

Lecture Notes in Mathematics ; ; 1691

Classificazione

81R50

17B37

Disciplina

512.55

Soggetti

Quantum groups

Representations of groups

Sheaf theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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 .

Sommario/riassunto

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.