A restriction theorem and the Poincare series for U-invariants.
A simple matrix semigroup which is not completely simple.
A Specialization Theorem for Certain Weyl Group Representations and an Application to the Green Polynomials of Unitary Groups.
A splitting theorem for linear polycyclic groups.
A Stiefel complex for the orthogonal group of a field.
A symplectic representation of
We explicitly construct a particular real form of the Lie algebra in terms of symplectic matrices over the octonions, thus justifying the identifications and, at the group level, . Along the way, we provide a geometric description of the minimal representation of in terms of rank 3 objects called cubies.
A Theorem on the Restriction of Group Characters, and Its Application to the Character Theory of SL (n, q).
A third look at weight diagrams
A transvection decomposition in GL(n,2)
An algorithm is given to decompose an automorphism of a finite vector space over ℤ₂ into a product of transvections. The procedure uses partitions of the indexing set of a redundant base. With respect to tents, i.e. finite ℤ₂-representations generated by a redundant base, this is a decomposition into base changes.
A tropical view on Bruhat-Tits buildings and their compactifications
We relate some features of Bruhat-Tits buildings and their compactifications to tropical geometry. If G is a semisimple group over a suitable non-Archimedean field, the stabilizers of points in the Bruhat-Tits building of G and in some of its compactifications are described by tropical linear algebra. The compactifications we consider arise from algebraic representations of G. We show that the fan which is used to compactify an apartment in this theory is given by the weight polytope of the representation...
A two-dimensional pictorial presentation of Berele's insertion algorithm for symplectic tableaux.
A unipotent group associated with certain linear groups
A Very Simple Proof of Bott's Theorem.
Absolute irreducibility for finitary linear groups
Absolute stable rank and Witt cancellation for noncommutative rings.
Abstract homomorphisms of simple algebraic groups
Actions of monoidally equivalent compact quantum groups and applications to probabilistic boundaries
The notion of monoidal equivalence for compact quantum groups was recently introduced by Bichon, De Rijdt and Vaes. In this paper we prove that there is a natural bijective correspondence between actions of monoidally equivalent quantum groups on unital -algebras or on von Neumann algebras. This correspondence turns out to be very useful to obtain the behavior of Poisson and Martin boundaries under monoidal equivalence of quantum groups. Finally, we apply these results to identify the Poisson boundary...
Addendum : Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups
Adèles et groupes algébriques
Adhérence d'orbite et invariants.