Factorizable sheaves and quantum groups

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...

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Detalles Bibliográficos
Autores principales: Bezrukavnikov, Roman, Finkelberg, Michael, Schechtman, Vadim
Lenguaje:eng
Publicado: Springer 1998
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/BFb0092343
http://cds.cern.ch/record/1691658
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author Bezrukavnikov, Roman
Finkelberg, Michael
Schechtman, Vadim
author_facet Bezrukavnikov, Roman
Finkelberg, Michael
Schechtman, Vadim
author_sort Bezrukavnikov, Roman
collection CERN
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.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1998
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spelling cern-16916582021-04-21T21:08:08Zdoi:10.1007/BFb0092343http://cds.cern.ch/record/1691658engBezrukavnikov, RomanFinkelberg, MichaelSchechtman, VadimFactorizable sheaves and quantum groupsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:16916581998
spellingShingle Mathematical Physics and Mathematics
Bezrukavnikov, Roman
Finkelberg, Michael
Schechtman, Vadim
Factorizable sheaves and quantum groups
title Factorizable sheaves and quantum groups
title_full Factorizable sheaves and quantum groups
title_fullStr Factorizable sheaves and quantum groups
title_full_unstemmed Factorizable sheaves and quantum groups
title_short Factorizable sheaves and quantum groups
title_sort factorizable sheaves and quantum groups
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0092343
http://cds.cern.ch/record/1691658
work_keys_str_mv AT bezrukavnikovroman factorizablesheavesandquantumgroups
AT finkelbergmichael factorizablesheavesandquantumgroups
AT schechtmanvadim factorizablesheavesandquantumgroups

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