A class of perverse sheaves on framed representation varieties of the Jordan quiver

Yiqiang Li

doi:10.1016/j.jalgebra.2013.04.011

A class of perverse sheaves on framed representation varieties of the Jordan quiver

Yiqiang Li

Mathematics

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Abstract

We study a class of simple perverse sheaves on framed representation varieties of the Jordan quiver in analogy with the one in Li (2013) [17]. We show that the associated local systems are always trivial. We use this class and the top Borel-Moore homology of certain related Steinberg-type varieties to give a geometric realization of the group algebra of a product of symmetric groups, a tensor product of Schur algebras, and a tensor product of Fock spaces.

Original language	English
Pages (from-to)	113-130
Number of pages	18
Journal	Journal of Algebra
Volume	386
DOIs	https://doi.org/10.1016/j.jalgebra.2013.04.011
State	Published - Jul 5 2013

Keywords

Borel-Moore homology
Perverse sheaves
Product of symmetric groups
Semismall resolutions of singularities
Tensor product of Schur algebras

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10.1016/j.jalgebra.2013.04.011

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abstract = "We study a class of simple perverse sheaves on framed representation varieties of the Jordan quiver in analogy with the one in Li (2013) [17]. We show that the associated local systems are always trivial. We use this class and the top Borel-Moore homology of certain related Steinberg-type varieties to give a geometric realization of the group algebra of a product of symmetric groups, a tensor product of Schur algebras, and a tensor product of Fock spaces.",

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AB - We study a class of simple perverse sheaves on framed representation varieties of the Jordan quiver in analogy with the one in Li (2013) [17]. We show that the associated local systems are always trivial. We use this class and the top Borel-Moore homology of certain related Steinberg-type varieties to give a geometric realization of the group algebra of a product of symmetric groups, a tensor product of Schur algebras, and a tensor product of Fock spaces.

KW - Borel-Moore homology

KW - Perverse sheaves

KW - Product of symmetric groups

KW - Semismall resolutions of singularities

KW - Tensor product of Schur algebras

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EP - 130

JO - Journal of Algebra

JF - Journal of Algebra

ER -

A class of perverse sheaves on framed representation varieties of the Jordan quiver

Abstract

Keywords

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