Pauli gradings on Lie superalgebras and graded codimension growth

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

We introduce grading on certain finite dimensional simple Lie superalgebras of type ▫$P(t)$▫ by elementary abelian 2-group. This grading gives rise to Pauli matrices and is a far generalization of ▫$(\mathbb{Z}_2 \times \mathbb{Z}_2)$▫-grading on Lie algebra of ▫$(2 \times 2)$▫-traceless matrices.We use this grading for studying numerical invariants of polynomial identities of Lie superalgebras. In particular, we compute graded PI-exponent corresponding to Pauli grading.

• Jezik: Angleški jezik
• Ključne besede: polynomial identities, Lie superalgebras, graded algebras, codimensions, exponential growth, Pauli gradings
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2017
• Št. strani: Str. 134-150
• Številčenje: Vol. 520
• PID: 20.500.12556/RUL-110335
• UDK: 512.554
• ISSN pri članku: 0024-3795
• DOI: http://dx.doi.org/10.1016/j.laa.2017.01.023
• COBISS.SI-ID: 17887321
• Datum objave v RUL: 13.09.2019

Gradivo je del revije

• Naslov: Linear algebra and its applications
• Skrajšan naslov: Linear algebra appl.
• Založnik: North Holland
• ISSN: 0024-3795
• COBISS.SI-ID: 1119247