UNIVERSITY OF DUBLIN

In type A, the tower of algebras ( K [M (S n )]) n∈ N possesses long sought-after properties. Indeed, it is well-known that several combinatorial Hopf algebras arise as

We study a decomposition of Y -indexed stochastic processes, based on the orthogonality relations between the characters of the irreducible representations of G.. Several relations

Any non-trivial subrepresentation would contain an eigenvector for h, and since none of the relevant coefficients of e and f vanish, we see that even one h-eigenvector is enough

Key-words : Free group - Uniformly bounded representations... parametrized by spherical functions was given. There arises a prob- lem of finding the theorem for a free group related

Determining the order and the structure of the automorphism group of a finite p-group is an important problem in group theory.. There have been a number of studies of the

Moreover, the dimension of the projective cover of the simple module associated to the conjugacy class of the p-regular element g ∈ G is equal to the number of conjugacy classes

Repeat the exer- cise in homology, for cor G×K H×K and tr G×K H×K (in homology, the hypothesis that G be finite can be supressed, but of course we need [G : H ] < ∞ for the

For finitely generated group that are linear over a field, a polynomial upper bound for these functions is established in [BM], and in the case of higher rank arithmetic groups,