Pauli gradings on Lie superalgebras and graded codimension growthRepovš, Dušan (Avtor) Zaicev, Mikhail (Avtor) polynomial identitiesLie superalgebrasgraded algebrascodimensionsexponential growthPauli gradingsWe 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.20172019-09-13 14:07:16Članek v reviji110335UDK: 512.554ISSN pri članku: 0024-3795DOI: http://dx.doi.org/10.1016/j.laa.2017.01.023COBISS_ID: 17887321OceCobissID: 1119247sl