Article ID Journal Published Year Pages File Type
4667404 Advances in Mathematics 2008 31 Pages PDF
Abstract

We study pfaffian analogues of immanants, which we call pfaffinants. Our main object is the TL-pfaffinants which are analogues of Rhoades and Skandera's TL-immanants. We show that TL-pfaffinants are positive when applied to planar networks and explain how to decompose products of complementary pfaffians in terms of TL-pfaffinants. We conjecture in addition that TL-pfaffinants have positivity properties related to Schur Q-functions.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)