5 papers
Springer basic sets and modular Springer correspondence for classical types
Daniel Juteau, Cédric Lecouvey, Karine Sorlin
We define the notion of basic set data for finite groups (building on the notion of basic set, but including an order on the irreducible characters as part of the structure), and w…
Exotic symmetric space over a finite field, III
Toshiaki Shoji, Karine Sorlin
Let X be an exotic symmetric space G/H \times V, where G= GL(V) and H = Sp(V) for a symplectic vector space V over an algebraically closed field of odd characteristic. In our previ…
Exotic symmetric space over a finite field, II
Toshiaki Shoji, Karine Sorlin
This paper is the second part of the papers in the same title. In this paper, we prove a conjecture of Achar-Henderson, which asserts that the Poincare polynomials of the intersect…
Exotic symmetric space over a finite field, I
Toshiaki Shoji, Karine Sorlin
Let V be a 2n dimensional vector space over an algebraically closed field of odd characteristic. Let G = GL(V) and H = Sp_{2n} be the symplectic group contained in G. We call X = G…
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 $…