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Singular Supports for Character Sheaves on a Group Compactification

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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.

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Author notes

  1. Xuhua He

    Present address: Department of Mathematics, Stony Brook University, Stony Brook, NY, 11794-3651, USA

Authors and Affiliations

  1. School of Mathematics, Institute of Advanced Study, Princeton, NJ, 08540, USA

    Xuhua He

  2. Department of Mathematics, M.I.T, Cambridge, MA, 02139, USA

    George Lusztig

Authors
  1. Xuhua He
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  2. George Lusztig
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Correspondence to Xuhua He.

Additional information

Dedicated to Joseph Bernstein on the occasion of his 60th birthday

X.H. is supported by NSF grant DMS-0111298. G.L. is supported in part by NSF grant DMS-0243345.

Received: May 2006, Accepted: November 2006

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He, X., Lusztig, G. Singular Supports for Character Sheaves on a Group Compactification. GAFA Geom. funct. anal. 17, 1915–1923 (2008). https://doi.org/10.1007/s00039-007-0641-8

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  • DOI: https://doi.org/10.1007/s00039-007-0641-8

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