The Algbraic von Neumann Kernel and Linear Algebraic Groups.
The arithmetic theory of loop groups
The automorphisms of the orthogonal groups ... n (V), n ... 5.
The based ring of the lowest two-sided cell of an affine Weyl group. II
The Bauer trees of the exceptional Chevalley groups of type E6.
The blocks of finite classical groups.
The Blocks of Finite General Linear and Unitary Groups.
The Brauer category and invariant theory
A category of Brauer diagrams, analogous to Turaev’s tangle category, is introduced, a presentation of the category is given, and full tensor functors are constructed from this category to the category of tensor representations of the orthogonal group O or the symplectic group Sp over any field of characteristic zero. The first and second fundamental theorems of invariant theory for these classical groups are generalised to the category theoretic setting. The major outcome is that we obtain presentations...
The canonical combinatorial sheaf associated to an involution of a semisimple adjoint group.
The Capelli identity, the double commutant theorem and multiplicity-free-actions.
The category of opetopes and the category of opetopic sets.
The centralizer of a classical group and Bruhat-Tits buildings
Let be a unitary group defined over a non-Archimedean local field of odd residue characteristic and let be the centralizer of a semisimple rational Lie algebra element of We prove that the Bruhat-Tits building of can be affinely and -equivariantly embedded in the Bruhat-Tits building of so that the Moy-Prasad filtrations are preserved. The latter property forces uniqueness in the following way. Let and be maps from to which preserve the Moy–Prasad filtrations. We prove that...
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 Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of and .
The cohomology of period domains for reductive groups over finite fields
The Collineation Groups of Derived Translation Planes. II.
The Conjugating Representation of a Semisimple Group.
The Connes-Kasparov conjecture for almost connected groups and for linear -adic groups
Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C*-algebra of G is an isomorphism. The same is shown for the groups of k-rational points of any linear algebraic group over a local field k of characteristic zero.
The -property of linear and unitary groups.