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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2004 Volume 4, Number 1, Pages 153–179 (Mi mmj146)

This article is cited in 48 papers

Parabolic character sheaves. I

G. Lusztig

Department of Mathematics, Massachusetts Institute of Technology

Abstract: We study a class of perverse sheaves on the variety of pairs $(P,gUP)$ where $P$ runs through a conjugacy class of parabolics in a connected reductive group and $gUP$ runs through $G/UP$. This is a generalization of the theory of character sheaves.

Key words and phrases: Reductive group, parabolic group, perverse sheaf, character sheaf.

MSC: 20G99

Received: February 26, 2003

Language: English

DOI: 10.17323/1609-4514-2004-4-1-153-179



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© Steklov Math. Inst. of RAS, 2026