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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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Two geometric character formulas for reductive Lie groups
Wilfried Schmid,Kari Vilonen +1 more
TL;DR: In this article, the Atiyah-Bott fixed point formula is applied to the Borel-Weil character formula for representations of reductive groups, where the characters of a representation π are expressed in terms of the same geometric data attached to π.
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Induced and simple modules of double affine Hecke algebras
TL;DR: In this paper, the simple integrable modules of double affine Hecke algebras via perverse sheaves were classified and the Jordan-Holder multiplicities of induced modules were estimated.
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Affine weyl groups and conjugacy classes in Weyl groups
TL;DR: In this article, the authors define a map from an affine Weyl group to the set of conjugacy classes of an Ordinary Weyl Group, and define a set of classes for each of the classes.
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Characters of unipotent groups over finite fields
TL;DR: In this paper, it was shown that if the centralizer of every geometric point of a connected unipotent group is connected, then the dimension of every complex irreducible representation of the group is a power of q, confirming a conjecture of Drinfeld.
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On the center of quiver-Hecke algebras
TL;DR: In this article, the equivariant cohomology ring of the moduli space of framed instantons over the affine plane is computed, which is a Rees algebra associated with the center of cyclotomic degenerate affine Hecke algebras of type A.