
Journal of Lie Theory 28 (2018), No. 4, 11891199 Copyright Heldermann Verlag 2018 Codimension Growth of Solvable Lie Superalgebras Dusan D. Repovs Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, 1000, Slovenia dusan.repovs@guest.arnes.si Mikhail V. Zaicev Department of Algebra, Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia zaicevmv@mail.ru We study numerical invariants of identities of finitedimensional solvable Lie superalgebras. We define new series of finitedimensional solvable Lie superalgebras L with nonnilpotent derived subalgebra $L'$ and discuss their codimension growth. For the first algebra of this series we prove the existence and integrality of exp(L). Keywords: Polynomial identities, Lie superalgebras, graded identities, codimensions, exponential growth. MSC: 17B01, 16P90; 15A30, 16R10 [ Fulltextpdf (122 KB)] for subscribers only. 