Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras

Chih Whi Chen, Kevin Coulembier, Volodymyr Mazorchuk

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We prove that the tensor product of a simple and a finite dimensional sln-module has finite type socle. This is applied to reduce classification of simple q(n) -supermodules to that of simple sln-modules. Rough structure of simple q(n) -supermodules, considered as sln-modules, is described in terms of the combinatorics of category O.

Original languageEnglish
Pages (from-to)255-281
Number of pages27
JournalMathematische Zeitschrift
Volume297
Issue number1-2
DOIs
StatePublished - Feb 2021

Keywords

  • Lie algebra
  • Lie superalgebra
  • Rough structure
  • Simple module
  • Simple supermodule
  • Socle
  • Tensor product

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