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 language | English (US) |
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Pages (from-to) | 5061-5072 |
Number of pages | 12 |
Journal | Communications in Algebra |
Volume | 49 |
Issue number | 12 |
DOIs | |
State | Published - 2021 |
Keywords
- Cohomology
- Lie superalgebra
- nilpotent Lie superalgebra
- rigid Lie superalgebra
- solvable Lie superalgebra
ASJC Scopus subject areas
- Algebra and Number Theory