Multiplying Schur Q-functions

Multiplying Schur Q-functions

Pfaffians and Determinants for Schur Q-Functions

Schur Q-functions were originally introduced by Schur in relation to projective representations of the symmetric group and they can be defined combinatorially in terms of shifted tableaux. In this paper we describe planar decompositions of shifted tableaux into strips and use the shapes of these strips to generate pfaffi.ans and determinants that are equal to Schur Q-functions. As special cases...

Interpolation Analogues of Schur Q-functions

We introduce interpolation analogues of Schur Q-functions — the multiparameter Schur Q-functions. We obtain for them several results: a combinatorial formula, generating functions for one-row and two-rows functions, vanishing and characterization properties, a Pieri-type formula, a Nimmo-type formula (a relation of two Pfaffians), a Giambelli-Schur-type Pfaffian formula, a determinantal formula...

Classification of Q-Multiplicity-Free Skew Schur Q-Functions

We classify the Q-multiplicity-free skew Schur Q-functions. Towards this result, we also provide new relations between the shifted Littlewood-Richardson coeffi-

The (Q, q)–Schur Algebra

In this paper we use the Hecke algebra of type B to define a new algebra S which is an analogue of the q–Schur algebra. We construct Weyl modules for S and obtain, as factor modules, a family of irreducible S–modules over any field.