Remarks on the Lie derived lengths of group algebras of groups with cyclic derived subgroup.
Representation filters and their application in the theory of local fields.
Representation of finite groups and the first Betti number of branched coverings of a universal Borromean orbifold
The paper studies the first homology of finite regular branched coverings of a universal Borromean orbifold called B 4,4,4ℍ3. We investigate the irreducible components of the first homology as a representation space of the finite covering transformation group G. This gives information on the first betti number of finite coverings of general 3-manifolds by the universality of B 4,4,4. The main result of the paper is a criterion in terms of the irreducible character whether a given irreducible representation...
Representation ring of the sequence of alternating groups
Representation theory of finite Abelian groups applied to a linear diatomic crystal.
Representation theory of local division algebras.
Representation theory of two-dimensionalbrauer graph rings
We consider a class of two-dimensional non-commutative Cohen-Macaulay rings to which a Brauer graph, that is, a finite graph endowed with a cyclic ordering of edges at any vertex, can be associated in a natural way. Some orders Λ over a two-dimensional regular local ring are of this type. They arise, e.g., as certain blocks of Hecke algebras over the completion of at (p,q-1) for some rational prime . For such orders Λ, a class of indecomposable maximal Cohen-Macaulay modules (see introduction)...
Représentations de certains groupes symplectiques finis
Représentations de dimension finie de l’algèbre de Cherednik rationnelle
On donne une condition nécessaire et suffisante pour l’existence de modules de dimension finie sur l’algèbre de Cherednik rationnelle associée à un système de racines.
Representations in SU(2) of the fundamental groups of the Whitehead link and of doubled knots.
Représentations linéaires des groupes finis «algébriques»
Representations of Certain Verbal Wreath Products by Matrices.
Representations of Coxeter Groups and Hecke Algebras.
Representations of group and semigroup actions
Representations of Hecke algebras at roots of unity
Representations of infinite weak product groups
Representations of p-groups at characteristic p l
Representations of and and the q-Schur algebra
Representations of Simple Lie Groups with a Free Module of Covariants.
Representations of the general linear group over symmetry classes of polynomials
Let be the complex vector space of homogeneous linear polynomials in the variables . Suppose is a subgroup of , and is an irreducible character of . Let be the symmetry class of polynomials of degree with respect to and . For any linear operator acting on , there is a (unique) induced operator acting on symmetrized decomposable polynomials by In this paper, we show that the representation of the general linear group is equivalent to the direct sum of copies of a representation...