Singular Supports for Character Sheaves on a Group Compactification

Research paper by Xuhua He, George Lusztig

Indexed on: 30 Jan '08Published on: 30 Jan '08Published in: Geometric and Functional Analysis


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.