A note on symmetric powers of the standard representation of .
A note on three types of quasisymmetric functions.
A Pfaffian-Hafnian analogue of Borchardt's identity.
A plethysm formula for .
A positive proof of the Littlewood-Richardson rule using the octahedron recurrence.
A quasisymmetric function generalization of the chromatic symmetric function.
A Schröder generalization of Haglund's statistic on Catalan paths.
A semigroup approach to wreath-product extensions of Solomon's descent algebras.
A short proof of an identity of Sylvester.
A study of Eulerian numbers for permutations in the alternating group.
A symmetric basis of the algebra of quasi-symmetric coinvariants. (Une base symétrique de l'algébre des coinvariants quasi-symétriques.)
A symmetric functions approach to Stockhausen's problem.
A two parameter chromatic symmetric function.
A unified view of determinantal expansions for Jack polynomials.
A weighted graph polynomial from chromatic invariants of knots
Motivated by the work of Chmutov, Duzhin and Lando on Vassiliev invariants, we define a polynomial on weighted graphs which contains as specialisations the weighted chromatic invariants but also contains many other classical invariants including the Tutte and matching polynomials. It also gives the symmetric function generalisation of the chromatic polynomial introduced by Stanley. We study its complexity and prove hardness results for very restricted classes of graphs.
About division by 1.
Actions of the symmetric group generated by comparable sets of integers and Smith invariants.
Adding to the argument of a Hall-Littlewood polynomial.
An analytic formula for the Jack polynomials.
An identity in Rota-Baxter algebras.