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math.RT2007
Alpha-determinant cyclic modules and Jacobi polynomials
Kazufumi Kimoto, Sho Matsumoto, Masato Wakayama
We study the cyclic -module generated by the -th power of the -determinant. When is a non-negative integer, for all but finite exceptional values of $…
math.RT2005★ 4 cited
Alpha-determinant cyclic modules of
Sho Matsumoto, Masato Wakayama
The alpha-determinant unifies and interpolates the notion of the determinant and permanent. We determine the irreducible decomposition of the cyclic module of defined by…