The 1-Cohomology of the Adjoint Module of a Chevalley Group.
The canonical combinatorial sheaf associated to an involution of a semisimple adjoint group.
The characters of the group of rational points of a reductive group with non-connected centre.
The Chow ring of the stack of cyclic covers of the projective line
In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.
The Farrell cohomology of .
The First Cohomology Group of a Line Bundle on G/B.
The homology of special linear groups over polynomial rings
The integral homology of SL2 and PSL2 of euclidean imaginary quadratic integers.
The Schur Multipliers of Sp6(Z),Spin8(Z),Spin7(Z),andF4(Z).
The strong linkage principle.
Topological central extensions of SL1 (D).
Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups.
Trigonometric Sums, Green Functions on Finite Groups and Representation of Weyl Groups.
Troesch complexes and extensions of strict polynomial functors
We develop a new approach of extension calculus in the category of strict polynomial functors, based on Troesch complexes. We obtain new short elementary proofs of numerous classical -computations as well as new results. In particular, we get a cohomological version of the “fundamental theorems” from classical invariant theory for for big enough (and we give a conjecture for smaller values of ). We also study the “twisting spectral sequence” converging to the extension groups between the...