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math.RT2005
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…
math.RT2005★ 3 cited
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…
math.RT2004
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 $…