Pfaffians and Shuffling Relations for the Spin Module

Details Pfaffians and Shuffling Relations for the Spin Module Pfaffians and Shuffling Relations for the Spin Module

2012-03-13

arxiv.org/abs/1203.2943v1

Mathematics

Representation Theory

10 pages

Scientific paper

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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