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Singular Supports for Character Sheaves on a Group Compactification

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sword-2022-02-09T18:57:08.original.xml (130 B)
Original SWORD entry document
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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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
https://hdl.handle.net/1721.1/140248
DOI of Published Version
https://doi.org/10.1007/s00039-007-0641-8
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