Pauli gradings on Lie superalgebras and graded codimension growth

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 (Z2 x Z2)-grading on Lie algebra of (2 x 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. (C) 2017 Elsevier Inc. All rights reserved.