Notes on character sheaves

Mathematics – Representation Theory

Scientific paper

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20 pages

Scientific paper

In the first section we study a functor of Bezrukavnikov, Finkelberg and
Ostrik defined on character sheaves; we compute it in a Grothendieck group
taking weights into account. In the second section we enlarge the class of
character sheaves to a larger class of simple perverse sheaves which behaves
well under tensor product (unlike the character sheaves themselves).

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