A BGG-type resolution for tensor modules over general linear superalgebra

Shun Jen Cheng, Jae Hoon Kwon, Ngau Lam

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct sums of Kac modules for the finite-dimensional irreducible tensor representations of the general linear superalgebra. As a consequence it follows that the unique maximal submodule of a corresponding reducible Kac module is generated by its proper singular vector.

Original languageEnglish
Pages (from-to)75-87
Number of pages13
JournalLetters in Mathematical Physics
Volume84
Issue number1
DOIs
Publication statusPublished - 2008 Apr 1

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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