Pfaffians and Shuffling Relations for the Spin Module (1203.2943v1)

Published 13 Mar 2012 in math.RT

Abstract: We present explicit formulas for a set of generators of the ideal of relations among the pfaffians of the principal minors of the antisymmetric matrices of fixed dimension. These formulas have an interpretation in terms of the standard monomial theory for the spin module of orthogonal groups.

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