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Beschreibung
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.
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.
Inhaltsverzeichnis
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 .
Details
Erscheinungsjahr: 1998
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: x
290 S.
ISBN-13: 9783540646198
ISBN-10: 3540646191
Sprache: Englisch
Herstellernummer: 10649911
Einband: Kartoniert / Broschiert
Autor: Bezrukavnikov, Roman
Finkelberg, Michael
Schechtman, Vadim
Hersteller: Springer
Springer Vieweg
Springer-Verlag GmbH
Lecture Notes in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 17 mm
Von/Mit: Roman Bezrukavnikov (u. a.)
Erscheinungsdatum: 20.07.1998
Gewicht: 0,458 kg
Artikel-ID: 101883480