%0 Journal Article
%T Composition of transpositions and equality of ribbon Schur Q-functions
%A Farzin Barekat
%A Stephanie van Willigenburg
%J Mathematics
%D 2008
%I arXiv
%X We introduce a new operation on skew diagrams called composition of transpositions, and use it and a Jacobi-Trudi style formula to derive equalities on skew Schur Q-functions whose indexing shifted skew diagram is an ordinary skew diagram. When this skew diagram is a ribbon, we conjecture necessary and sufficient conditions for equality of ribbon Schur Q-functions. Moreover, we determine all relations between ribbon Schur Q-functions; show they supply a Z-basis for skew Schur Q-functions; assert their irreducibility; and show that the non-commutative analogue of ribbon Schur Q-functions is the flag h-vector of Eulerian posets.
%U http://arxiv.org/abs/0811.3801v2