中文

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

表示论 2007-05-23 v1

摘要

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)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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引用

@article{arxiv.math/0508523,
  title  = {Alpha-determinant cyclic modules of $gl_n(C)$},
  author = {Sho Matsumoto and Masato Wakayama},
  journal= {arXiv preprint arXiv:math/0508523},
  year   = {2007}
}

备注

14 pages