Pfaffians and Shuffling Relations for the Spin Module

作者：Chirivi Rocco^*; Maffei Andrea

来源：Algebras and Representation Theory, 2013, 16(4): 955-978.

DOI：10.1007/s10468-012-9341-7

• Pfaffians
• Standard monomial theory
• Spin module

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.

• 出版日期2013-8