Alpha-determinant cyclic modules of gln(C)
Sho Matsumoto, Masato Wakayama
Abstract
The alpha-determinant unifies and interpolates the notion of the determinant and permanent. We determine the irreducible decomposition of the cyclic module of gln(C) defined by the alpha-determinant. The degeneracy of the irreducible decomposition is determined by the content polynomial of a given partition.
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