Pauli gradings on Lie superalgebras and graded codimension growth

Dušan Repovš (Avtor), Mikhail Zaicev (Avtor)

Povzetek

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.

Ključne besede

polynomial identities;Lie superalgebras;graded algebras;codimensions;exponential growth;Pauli gradings;

Podatki

Jezik:	Angleški jezik
Leto izida:	2017
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	512.554
COBISS:	17887321
ISSN:	0024-3795
Št. ogledov:	567
Št. prenosov:	274
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Vrsta dela (COBISS):	Članek v reviji
Strani:	str. 134-150
Zvezek:	ǂVol. ǂ520
Čas izdaje:	2017
DOI:	http://dx.doi.org/10.1016/j.laa.2017.01.023
ID:	11222886