Alpha-determinant cyclic modules of gl n(ℂ)

Sho Matsumoto, Masato Wakayama

Research output: Contribution to journalArticle

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

Cite this

Matsumoto, S., & Wakayama, M. (2006). Alpha-determinant cyclic modules of gl n(ℂ). Journal of Lie Theory, 16(2), 393-405.