Codimension growth of solvable Lie superalgebras

Repovš, Dušan (author), Zaicev, Mikhail V. (author)

We study numerical invariants of identities of finite-dimensional solvable Lie superalgebras. We define new series of finite-dimensional solvable Lie superalgebras L with non-nilpotent derived subalgebra ▫$L'$▫ and discuss their codimension growth. For the first algebra of this series we prove the existence and integrality of ▫$\exp(L)$▫.

• Language: English
• Keywords: polynomial identities, Lie superalgebras, graded identities, codimensions, exponential growth
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2018
• Number of pages: Str. 1189-1199
• Numbering: Vol. 28, no. 4
• PID: 20.500.12556/RUL-112631
• UDC: 512.5/.6
• ISSN on article: 0949-5932
• COBISS.SI-ID: 18463833
• Publication date in RUL: 28.10.2019

Record is a part of a journal

• Title: Journal of Lie theory
• Shortened title: J. Lie theory
• Publisher: Heldermann
• ISSN: 0949-5932
• COBISS.SI-ID: 7099737