论文信息 - Minor summation formula of Pfaffians

Minor summation formula of Pfaffians

In this paper we establish a formula involving Pfaffians for a certain weighted sum of minors of an arbitrary given matrix. First we find a formula where the sum ranges for all columns, and secondly we obtain a formula where the sum ranges for both all rows and columns as the application of the first one. The first formula is stated in the framework of quantum matrix algebra (Matq(m,n)). These sums are weighted by "sub-Pfaffians" of any given (q)skew symmetric matrices. In the last section we provide an application of the minor summation formula to the generating functions of shifted tableaux.

Masato Wakayama | Masao Ishikawa | M. Wakayama | M. Ishikawa

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