Add to ORKGWe study hermitian forms and unitary groups defined over a local ring, not necessarily commutative, equipped with an involution. When the ring is finite we obtain formulae for the order of the unitary groups as well as their point stabilizers, and use these to compute the degrees of the irreducible constituents of the Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring
AbstractLet E be a graded division ring finite-dimensional over its center with torsion-free abelian...
Abstract. We construct, via a complex G−bundle space, a Weil rep-resentation for the group G = SL∗(2...
AbstractLetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia...
We study hermitian forms and unitary groups defined over a local ring, not necessarily commutative, ...
Let (S, *) be an involutive local ring and let U(2m, S) be the unitary group associated to a nondege...
Let (S, *) be an involutive local ring and let U(2m, S) be the unitary group associated to a nondege...
summary:In this paper, we determine all the normal forms of Hermitian matrices over finite group rin...
AbstractLet A be a unitary ring with an involution ∗. The groups SL∗(2,A), defined by Pantoja and So...
International audienceLet G be an algebraic group over a local field k of characteristic zero. We sh...
AbstractWe deal with a hermitian space V over an involutorial division ring D with characteristic no...
AbstractUnitary groups of Hermitian forms with a hyperbolic rank at least one over local rings have ...
The Witt Extension Theorem states that the unitary group of a finite-dimensional vector space V equi...
In this work, using eigenvalues and eigenvectors of unitary Cayley graphs over finite local rings an...
International audienceAlthough there is no natural internal product for hermitian forms over an alge...
AbstractLet L be a lattice over the integers of a local field F which has a nontrivial involution. T...
AbstractLet E be a graded division ring finite-dimensional over its center with torsion-free abelian...
Abstract. We construct, via a complex G−bundle space, a Weil rep-resentation for the group G = SL∗(2...
AbstractLetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia...
We study hermitian forms and unitary groups defined over a local ring, not necessarily commutative, ...
Let (S, *) be an involutive local ring and let U(2m, S) be the unitary group associated to a nondege...
Let (S, *) be an involutive local ring and let U(2m, S) be the unitary group associated to a nondege...
summary:In this paper, we determine all the normal forms of Hermitian matrices over finite group rin...
AbstractLet A be a unitary ring with an involution ∗. The groups SL∗(2,A), defined by Pantoja and So...
International audienceLet G be an algebraic group over a local field k of characteristic zero. We sh...
AbstractWe deal with a hermitian space V over an involutorial division ring D with characteristic no...
AbstractUnitary groups of Hermitian forms with a hyperbolic rank at least one over local rings have ...
The Witt Extension Theorem states that the unitary group of a finite-dimensional vector space V equi...
In this work, using eigenvalues and eigenvectors of unitary Cayley graphs over finite local rings an...
International audienceAlthough there is no natural internal product for hermitian forms over an alge...
AbstractLet L be a lattice over the integers of a local field F which has a nontrivial involution. T...
AbstractLet E be a graded division ring finite-dimensional over its center with torsion-free abelian...
Abstract. We construct, via a complex G−bundle space, a Weil rep-resentation for the group G = SL∗(2...
AbstractLetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia...