22 citations · 34 across the 9 of their papers we have counts for
9 papers
Unipotent representations: changing q to -q, II
P. Deligne, G. Lusztig
Consider a Chevalley group over a finite field F_q such that the longest element in the Weyl group is central. In this paper we study the effect of changing q to -q in the polynomi…
Unipotent representations: changing q to -q
P. Deligne, G. Lusztig
Consider a Chevalley group over a finite field such that the longest element of the Weyl group is central. We construct an involution of the set of unipotent re…
Motives, Periods, and Functoriality
Pierre Deligne, A. Raghuram
Given a pure motive over with a multilinear algebraic structure on , and given a representation of the group respecting , we descri…
On complete reducibility in characteristic
V. Balaji, P. Deligne, A. J. Parameswaran
Let be a reductive group over a field which is algebraically closed of characteristic . We prove a structure theorem for a class of subgroup schemes of , for $…
On the second fundamental theorem of invariant theory for the orthosymplectic supergroup
Yang Zhang
The first fundamental theorem of invariant theory for the orthosymplectic supergroup (where has superdimension ) in the endomorphism algebra setting stat…
The first fundamental theorem of invariant theory for the orthosymplectic super group
P. Deligne, G. I. Lehrer, R. B. Zhang
We give a new proof, inspired by an argument of Atiyah, Bott and Patodi, of the first fundamental theorem of invariant theory for the orthosymplectic super group. We treat in a sim…
The second fundamental theorem of invariant theory for the orthosymplectic supergroup
G. I. Lehrer, R. B. Zhang
In a previous work we established a super Schur-Weyl-Brauer duality between the orthosymplectic supergroup of superdimension and the Brauer algebra with parameter .…
The first fundamental theorem of invariant theory for the orthosymplectic supergroup
Gustav Lehrer, Ruibin Zhang
We give an elementary proof of the first fundamental theorem of the invariant theory for the orthosymplectic supergroup by generalising the method of Atiyah, Bott and Patodi to the…
Spherical varieties and Langlands duality
D. Gaitsgory, D. Nadler
Let G be a connected reductive complex algebraic group. This paper is devoted to the space Z of meromorphic quasimaps from a curve into an affine spherical G-variety X. The space Z…