Equivariant derived category of a complete symmetric variety

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dc.creatorGuillermou, Stéphane
dc.date2004-12-21
dc.date.accessioned2026-07-07T05:15:33Z
dc.date.available2026-07-07T05:15:33Z
dc.descriptionLet G be a complex algebraic semi-simple adjoint group and X a smooth complete symmetric G-variety. Let L_i be the irreducible G-equivariant intersection cohomology complexes on X, and L the direct sum of the L_i. Let E= Ext(L,L) be the extension algebra of L, computed in the G-equivariant derived category of X. We considered E as a dg-algebra with differential d=0, and the E_i = Ext(L,L_i) as E-dg-modules. We show that the bounded equivariant derived category of sheaves of C-vector spaces on X is equivalent to the subcategory of the derived category of E-dg-modules generated by the E_i.
dc.description52 pages
dc.identifierhttps://arxiv.org/abs/math/0412437
dc.identifierhttp://arxiv.org/abs/math/0412437
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73668
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14M17; 18E30; 55N91; 14L30
dc.titleEquivariant derived category of a complete symmetric variety
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