Tamely ramified supercuspidal representations of classical groups. II. Representation theory
Tamely ramified supercuspidal representations of classical groups. I. Filtrations
The 1-Cohomology of the Adjoint Module of a Chevalley Group.
The arithmetic theory of loop groups
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 Capelli identity, the double commutant theorem and multiplicity-free-actions.
The characters of the group of rational points of a reductive group with non-connected centre.
The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of and .
The Conjugating Representation of a Semisimple Group.
The decomposition numbers of Hecke algebras of type F4 with unequal parameters.
The Decomposition numbers of the Hecke algebra of type F4.
The Decomposition of Tensors over Fields of Prime Characteristic.
The density of representation degrees
For a group and a positive real number , define to be the number of integers less than which are dimensions of irreducible complex representations of . We study the asymptotics of for algebraic groups, arithmetic groups and finitely generated linear groups. In particular we prove an “alternative” for finitely generated linear groups in characteristic zero, showing that either there exists such that for all large , or is virtually abelian (in which case is bounded).
The Discrete Series of the Linear Groups SL (n, q).
The existence of equivariant pure free resolutions
Let be a polynomial ring in variables and let be a strictly increasing sequence of integers. Boij and Söderberg conjectured the existence of graded -modules of finite length having pure free resolution of type in the sense that for the -th syzygy module of has generators only in degree .This paper provides a construction, in characteristic zero, of modules with this property that are also -equivariant. Moreover, the construction works over rings of the form where is a polynomial...
The Faithful Linear Representation of Least Degree of Sn and An over a Field of Characteristic 2.
The First Cohomology Group of a Line Bundle on G/B.