Graded codimensions of Lie superalgebra ▫$b(2)$▫

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

We study asymptotic behaviour of graded codimensions of Lie superalgebra ▫$b(2)$▫. We prove that graded PI-exponent exists and is equal to $3 + 2\sqrt 3$.

• Language: English
• Keywords: graded polynomial identities, Lie superalgebras, codimensions, exponential growth, PI-exponent
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2015
• Number of pages: Str. 1-10
• Numbering: Vol. 422
• PID: 20.500.12556/RUL-111420
• UDC: 512.554.3
• ISSN on article: 0021-8693
• DOI: http://dx.doi.org/10.1016/j.jalgebra.2014.08.042
• COBISS.SI-ID: 17135449
• Publication date in RUL: 30.09.2019