Bounds for the Hückel energy of a graph.
Branching rules for modular representations of symmetric groups, II.
Bruhat intervals, polyhedral cones and Kazhdan-Lusztig-Stanley polynomials.
Bundles, cohomology and truncated symmetric polynomials.
Cambrian fans
For a finite Coxeter group and a Coxeter element of ; the -Cambrian fan is a coarsening of the fan defined by the reflecting hyperplanes of . Its maximal cones are naturally indexed by the -sortable elements of . The main result of this paper is that the known bijection cl between -sortable elements and -clusters induces a combinatorial isomorphism of fans. In particular, the -Cambrian fan is combinatorially isomorphic to the normal fan of the generalized associahedron for . The rays...
Canonical Brauer induction and symmetric groups
Imitating the approach of canonical induction formulas we derive a formula that expresses every character of the symmetric group as an integer linear combination of Young characters. It is different from the well-known formula that uses the determinantal form.
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...
Categorification of the virtual braid groups
We extend Rouquier’s categorification of the braid groups by complexes of Soergel bimodules to the virtual braid groups.
Cells and constructible representations in type .
Chain polynomials of distributive lattices are 75% unimodal.
Chains, subwords, and fillings: strong equivalence of three definitions of the Bruhat order.
Character polynomials, their -analogs and the Kronecker product.
Character theory of symmetric groups, analysis of long relators, and random walks.
Characters of finite quasigroups VII: permutation characters
Each homogeneous space of a quasigroup affords a representation of the Bose-Mesner algebra of the association scheme given by the action of the multiplication group. The homogeneous space is said to be faithful if the corresponding representation of the Bose-Mesner algebra is faithful. In the group case, this definition agrees with the usual concept of faithfulness for transitive permutation representations. A permutation character is associated with each quasigroup permutation representation,...
Chess tableaux.
Classifying descents according to equivalence .
Climbing elements in finite Coxeter groups.
Collapsing along monotone poset maps.
Colored permutations and skew tableaux. (Permutations colorées et tableaux gauches.)