Cohomologically rigid solvable Lie superalgebras with model filiform and model nilpotent nilradical

S. Bouarroudj, R. M. Navarro

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, we find a family (Formula presented.) in any arbitrary dimensions, of cohomologically rigid solvable Lie superalgebras with nilradical the model filiform Lie superalgebra (Formula presented.) Moreover, we exhibit a family of cohomologically rigid solvable Lie superalgebras with nilradical the model nilpotent Lie superalgebra of generic characteristic sequence. Both cases correspond to solvable Lie superalgebras of maximal dimension for a given nilradical. Contrariwise, we will show that the family of Lie superalgebras (Formula presented.) can be deformed if defined over a field of odd characteristic.

Original languageEnglish (US)
Pages (from-to)5061-5072
Number of pages12
JournalCommunications in Algebra
Volume49
Issue number12
DOIs
StatePublished - 2021

Keywords

  • Cohomology
  • Lie superalgebra
  • nilpotent Lie superalgebra
  • rigid Lie superalgebra
  • solvable Lie superalgebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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