Ideal decompositions and computation of tensor normal forms.
Identities for the number of standard Young tableaux in some -hooks.
Integrals and polygamma representations for binomial sums.
Interlaced processes on the circle
When two Markov operators commute, it suggests that we can couple two copies of one of the corresponding processes. We explicitly construct a number of couplings of this type for a commuting family of Markov processes on the set of conjugacy classes of the unitary group, using a dynamical rule inspired by the RSK algorithm. Our motivation for doing this is to develop a parallel programme, on the circle, to some recently discovered connections in random matrix theory between reflected and conditioned...
Intertwining spaces associated with q-analogues of the Young symmetrizers in the Hecke algebra
Invariants of several matrices.
Inversions within restricted fillings of Young tableaux.
Irreducible symmetric group characters of rectangular shape.
Irreducible tensor representations of general linear Lie superalgebras
We present a description of irreducible tensor representations of general linear Lie superalgebras in terms of generalized determinants in the symmetric and exterior superalgebras of a superspace over a field of characteristic zero.