JCT
2011
13 years 6 months ago
2011
Abstract. We introduce a new basis for quasisymmetric functions, which arise from a specialization of nonsymmetric Macdonald polynomials to standard bases, also known as Demazure a...
JCT
2011
13 years 6 months ago
2011
JCT
2011
13 years 6 months ago
2011
Our recent paper [5] provides extensions to two classical determinantal results of Bressoud and Wei, and of Koike. The proofs in that paper were algebraic. The present paper conta...
JCT
2011
13 years 6 months ago
2011
The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product ...
JCT
2011
13 years 6 months ago
2011
Two well-known q-Hermite polynomials are the continuous and discrete q-Hermite polynomials. In this paper we consider a new family of q-Hermite polynomials and prove several curiou...
JCT
2011
13 years 6 months ago
2011
The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define...