An umbral calculus for polynomials characterizing tensor products.
Architectonics of Alain Lascoux's preferred formulas. (Architectonique des formules préférées d'Alain Lascoux.)
Asymptotics for random walks in alcoves of affine Weyl groups.
Asymptotics of Young diagrams and Hook numbers.
Augmented rook boards and general product formulas.
Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations.
Bitableaux bases for some Garsia-Haiman modules and other related modules.
Bottom Schur functions.
Bundles, cohomology and truncated symmetric polynomials.
Canonical characters on quasi-symmetric functions and bivariate Catalan numbers.
Canonical characters on simple graphs
A multiplicative functional on a graded connected Hopf algebra is called the character. Every character decomposes uniquely as a product of an even character and an odd character. We apply the character theory of combinatorial Hopf algebras to the Hopf algebra of simple graphs. We derive explicit formulas for the canonical characters on simple graphs in terms of coefficients of the chromatic symmetric function of a graph and of canonical characters on quasi-symmetric functions. These formulas and...
Character polynomials, their -analogs and the Kronecker product.
Classifying descents according to equivalence .
Colored permutations and skew tableaux. (Permutations colorées et tableaux gauches.)
Colored trees and noncommutative symmetric functions.
Combinatorial Laplacian of the matching complex.
Combinatorial operators for Kronecker powers of representations of .
Computing powers of two generalizations of the logarithm.
Comultiplication rules for the double Schur functions and Cauchy identities.
Conjectured combinatorial models for the Hilbert series of generalized diagonal harmonic modules.