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Alpha-determinant cyclic modules of $gl_n(C)$

Sho Matsumoto·Masato Wakayama
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Abstract

The alpha-determinant unifies and interpolates the notion of the determinant and permanent. We determine the irreducible decomposition of the cyclic module of $gl_n(C)$ 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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Sho Matsumoto, Masato Wakayama. 2005-08-26. Alpha-determinant cyclic modules of $gl_n(C)$. https://arxiv.org/abs/math/0508523

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