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

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

2005-08-26

arxiv.org/abs/math/0508523v1

Journal of Lie Theory, 16 (2006), 393-405

Mathematics

Representation Theory

14 pages

Scientific paper

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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