Alpha-determinant cyclic modules of gl n(ℂ)

Sho Matsumoto, Masato Wakayama

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)393-405
Number of pages13
JournalJournal of Lie Theory
Issue number2
Publication statusPublished - Feb 3 2006

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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