Singular Supports for Character Sheaves on a Group Compactification
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0511050.pdf
Description
Submitted version
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142.61 KB
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Author(s) • •
He, Xuhua
Lusztig, George
Date Issued
January 30, 2008
Journal
Geometric and Functional Analysis
Publisher
Springer Nature America, Inc
Citation
He, X., Lusztig, G. Singular Supports for Character Sheaves on a Group Compactification. GAFA Geom. funct. anal. 17, 1915–1923 (2008)
Version
Original manuscript
Abstract
Let G be a semisimple adjoint group over C and Ḡ be the De Concini–Procesi completion of G. In this paper, we define a Lagrangian subvariety Λ of the cotangent bundle of Ḡ such that the singular support of any character sheaf on Ḡ is contained in Λ.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00039-007-0641-8