45 citations · 412 across the 130 of their papers we have counts for
10 papers · 2 filters
Unipotent almost characters of simple p-adic groups
G. Lusztig
Let G be a simple adjoint group and let K=k((ε)) where k is an algebraic closure of a finite field F_q. In this paper we define some geometric objects on G(K) which are similar to…
On the characters of unipotent representations of a semisimple p-adic group
Ju-Lee Kim, George Lusztig
Let G be a semisimple almost simple algebraic group defined and split over a nonarchimedean local field K and let V be a unipotent representation of G(K) (for example, an Iwahori-s…
Quasisplit Hecke algebras and symmetric spaces
G. Lusztig, D. A. Vogan
Let (G,K) be a symmetric pair over an algebraically closed field of characteristic different of 2 and let sigma be an automorphism with square 1 of G preserving K. In this paper we…
Asymptotic Hecke algebras and involutions
G. Lusztig
In a previous paper the author and D. Vogan defined and studied a Hecke algebra module structure on a vector space spanned by the involutions in a Weyl group. In this paper this st…
On the Steinberg character of a semisimple p-adic group
Ju-Lee Kim, George Lusztig
Let G be a semisimple almost simple algebraic group defined and split over a nonarchimedean local field K and let S be the Steinberg representation of G(K). Let t be be a very regu…
Restriction of a character sheaf to conjugacy classes
G. Lusztig
Let A be a character sheaf on a reductive connected group G over an algebraically closed field. Assuming that the characteristic is not bad, we show that for certain conjugacy clas…