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Equivariant Sheaves and Functors
Joseph Bernstein,Valery A. Lunts +1 more
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In this paper, the DG-modules and equivariant cohomology of toric varieties have been studied, and the derived category D G (X) and functors have been defined.Abstract:
Derived category D G (X) and functors.- DG-modules and equivariant cohomology.- Equivariant cohomology of toric varieties.read more
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Stacks in Representation Theory. What is a continuous representation of an algebraic group
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A Derived Decomposition for Equivariant $D$-modules
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Smith theory and geometric Hecke algebras
TL;DR: In this article, it was shown that the rational cohomology of a topological space X is related to the fixed points for a torus action on X. This result and its generalizations have many applications in Lie theory.
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Geometric realizations of Lusztig's symmetries
Jie Xiao,Minghui Zhao +1 more
TL;DR: In this paper, the authors give geometric realizations of Lusztig's symmetries and projective resolutions of a kind of standard modules, and obtain the categorification of the formulas of the symmetric formulas.