We introduce the class of projective reflection groups which includes all complex reflection groups. We show that several aspects involving the relationship between the combinatorics and the (invariant) representation ...

Littlewood-Richardson coefficients appear as limits of certain families of Kronecker coefficients. They have a wide variety of interpretations in combinatorics, representation theory and geometry. Mulmuley and Sohoni pointed ...

We consider the problem of finding complete sets of polynomial invariants of multipartite quantum system with respect to local unitary operations. One of the main tools in that respect are both univariate and multivariate ...

In this talk, I will present joint works with Cedric Chauve and Adriano Garsia. With C. Chauve, we studied Kronecker powers of the irreducible representation of Sn indexed with (n-1,1). We gave a combinatorial ...

The evaluation of characters of symmetric groups as polynomials in class numbers will be discussed, along with their use in evaluating Kronecker coefficients of both conventional and reduced type. Some properties of the ...

Consider a vector space V for which we specify a basis, then the tensor algebra T(V) corresponds to the non-commutative polynomials expressed in that basis. If V has an S_n module structure (more generally, for a finite ...