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.
Jack deformations of Plancherel measures and traceless Gaussian random matrices.
Jucys-Murphy element and walks on modified Young graph
Biane found out that irreducible decomposition of some representations of the symmetric group admits concentration at specific isotypic components in an appropriate large n scaling limit. This deepened the result on the limit shape of Young diagrams due to Vershik-Kerov and Logan-Shepp in a wider framework. In particular, it is remarkable that asymptotic behavior of the Littlewood-Richardson coefficients in this regime was characterized in terms of an operation in free probability of Voiculescu....
Jucys-Murphy elements and the unitary Weingarten function
We describe an approach to the unitary Weingarten function based on the JM elements of symmetric group algebras. When combined with previously known properties of the Weingarten function, this gives a surprising connection with the Moebius function of the lattice of noncrossing partitions.
Kazhdan-Lusztig polynomials: history, problems, and combinatorial invariance.
Keys and alternating sign matrices.
Krein-space operators determined by free product algebras induced by primes and graphs
In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number-theoretic data.
Kronecker product identities from D-finite symmetric functions.
Lattice path proofs of extended Bressoud-Wei and Koike skew Schur function identities.
Lattices and association schemes : a unimodular example without roots in dimension 28
Some interesting lattices can be constructed using association schemes. We illustrate this by a unimodular lattice without roots of dimension 28 which admits as its automorphism group.
Lattices and bases of Coxeter groups. (Treillis et bases des groups de Coxeter.)