Ideal decompositions and computation of tensor normal forms.
Ideals and quotients of -quasisymmetric polynomials.
Identities for the number of standard Young tableaux in some -hooks.
Increasing subsequences and the classical groups.
Inequalities related to rearrangements of powers and symmetric polynomials.
Integrality of two variable Kostka functions.
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 numbers; the -rowed shapes
A fairly old problem in modular representation theory is to determine the vanishing behavior of the groups and higher groups of Weyl modules and to compute the dimension of the -vector space for any partitions , of , which is the intertwining number. K. Akin, D. A. Buchsbaum, and D. Flores solved this problem in the cases of partitions of length two and three. In this paper, we describe the vanishing behavior of the groups and provide a new formula for the intertwining number for any...
Intertwining Operators and Polynomials Associated with the Symmetric Group.
Intertwining spaces associated with q-analogues of the Young symmetrizers in the Hecke algebra
Introduction to association schemes.
Invariant and coinvariant spaces for the algebra of symmetric polynomials in non-commuting variables.
Invariants of several matrices.
Inverse zero-sum problems and algebraic invariants
Inverse zero-sum problems in finite Abelian p-groups
We study the minimal number of elements of maximal order occurring in a zero-sumfree sequence over a finite Abelian p-group. For this purpose, and in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, our method implies that, if we denote by exp(G) the exponent of the finite Abelian p-group G considered, every zero-sumfree sequence S with maximal possible length over...
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.
Isometry classes of generalized associahedra.