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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:Â
Derived category D G (X) and functors.- DG-modules and equivariant cohomology.- Equivariant cohomology of toric varieties.read more
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Hodge ideals for the determinant hypersurface.
TL;DR: In this paper, the authors studied the Hodge ideals for the determinant hypersurface as an intersection of symbolic powers of determinantal ideals, and derived the weights and Hodge filtration for a simple GL-equivariant D-module, which are unique up to a shift determined by corresponding weights.
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Representations of elementary abelian p-groups and bundles on Grassmannians
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Generalized moment graphs and the equivariant intersection cohomology of BXB-orbit closures in the wonderful compactification of a group
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Family of đť’ź-modules and representations with a boundedness property
TL;DR: The notion of uniformly bounded families of holonomic representations of real reductive Lie groups was introduced in this article to explain and find finiteness properties of objects in the representation theory.
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Modules and Representations
Karin Erdmann,Thorsten Holm +1 more
TL;DR: In this paper, the fundamental notions of submodules, factor modules, and module homomorphisms for group algebras, and for path algesbras of quivers are studied, and the correspondence between modules and representations is made explicit.