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most citedHecke algebras and involutions in Weyl groups

45 citations · 412 across the 130 of their papers we have counts for

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Showing 2013 · math.RTShow all

6 papers · 2 filters

math.RT2013★ 1 cited

Hecke algebras and involutions in Coxeter groups

G. Lusztig, D. A. Vogan

Let be a Coxeter group and let be the free -module with basis indexed by the involutions of . We show how recent results of Elias and Williamson on Soergel…

math.RT2013★ 2 cited

On conjugacy classes in the Lie group E_8

G. Lusztig

This is based on a talk given at the AMS/RMS joint meeting in June 2013, Alba Iulia. The main theme is that the conjugacy classes in the Lie group E_8 should be (roughly) parametri…

math.RT2013★ 16 cited

Truncated convolution of character sheaves

G. Lusztig

Let G be a reductive connected group over an algebraic closure of a finite field. I define a tensor structure on the category of perverse sheaves on G which are direct sums of unip…

math.RT2013

Distinguished conjugacy classes and elliptic Weyl group elements

G. Lusztig

We define and study a correspondence between the set of distinguished G^0-conjugacy classes in a fixed connected component of a reductive group G (with G^0 almost simple) and the s…

math.RT2013★ 1 cited

On conjugacy classes in a reductive group

G. Lusztig

Let G be a connected reductive group over an algebraically closed field. We define a decomposition of G into finitely many strata such that each stratum is a union of conjugacy cla…

math.RT2013

Unipotent almost characters of simple p-adic groups, II

G. Lusztig

This paper contains some conjectures about the unipotent almost characters of a simple p-adic group in terms of a matrix which generalizes the nonabelian Fourier transform matrix i…