Codimension growth of solvable Lie superalgebras

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

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 ▫$\exp(L)$▫.

• Jezik: Angleški jezik
• Ključne besede: polynomial identities, Lie superalgebras, graded identities, codimensions, exponential growth
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2018
• Št. strani: Str. 1189-1199
• Številčenje: Vol. 28, no. 4
• PID: 20.500.12556/RUL-112631
• UDK: 512.5/.6
• ISSN pri članku: 0949-5932
• COBISS.SI-ID: 18463833
• Datum objave v RUL: 28.10.2019

Gradivo je del revije

• Naslov: Journal of Lie theory
• Skrajšan naslov: J. Lie theory
• Založnik: Heldermann
• ISSN: 0949-5932
• COBISS.SI-ID: 7099737