Codimension growth of solvable Lie superalgebras

Dušan Repovš (Author), Mikhail Zaicev (Author)

Abstract

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 ▫$\exp(L)$▫.

Keywords

polynomial identities;Lie superalgebras;graded identities;codimensions;exponential growth;

Data

Language:	English
Year of publishing:	2018
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	512.5/.6
COBISS:	18463833
ISSN:	0949-5932
Views:	553
Downloads:	143
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Type (COBISS):	Article
Pages:	str. 1189-1199
Volume:	ǂVol. ǂ28
Issue:	ǂno. ǂ4
Chronology:	2018
ID:	11270669