3 citations · 3 across the 4 of their papers we have counts for
4 papers
A variant of the induction theorem for Springer representations
Toshiaki Shoji
Let G be a simple algebraic group over C with the Weyl group W. For a unipotent element u of G, let B_u be the variety of Borel subgroups of G containing u. Let L be a Levi subgrou…
Lusztig's conjecture for finite special linear groups
Toshiaki Shoji
In this paper, we prove Lusztig's conjecture for finite special linear groups, i.e., we show that characteristic functions of character sheaves coincide with almost characters up t…
Subfield symmetric spaces for finite special linear groups
Toshiaki Shoji, Karine Sorlin
Let be a finite reductive group defined over a finite field . In the case where is a special linear group, we compute the multiplicities of irreducible characters of $…
Macdonald functions associated to complex reflection groups
Toshiaki Shoji
Let W be the complex reflection group G(e,1,n). In the author's previous paper, Hall-Littlewood functions associated to W were introduced. In the special case where W is a Weyl gro…