Singular supports for character sheaves on a group compactification

Xuhua He; George Lusztig

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Singular supports for character sheaves on a group compactification

Xuhua He·George Lusztig

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Abstract

Let $G$ be a semisimple adjoint group over $\bold C$ and $\bar{G}$ be the De Concini-Procesi completion of $G$. In this paper, we define a Lagrangian subvariety $Λ$ of the cotangent bundle of $\bar{G}$ such that the singular support of any character sheaf on $\bar{G}$ is contained in $Λ$.

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BibTeX RIS

Xuhua He, George Lusztig. 2005-11-02. Singular supports for character sheaves on a group compactification. https://arxiv.org/abs/math/0511050

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