Codimension growth of solvable Lie superalgebrasRepovš, Dušan (Avtor) Zaicev, Mikhail (Avtor) polynomial identitiesLie superalgebrasgraded identitiescodimensionsexponential growthWe study numerical invariants of identities of finite-dimensional solvable Lie superalgebras. We define new series of finite-dimensional solvable Lie superalgebras L with non-nilpotent derived subalgebra ▫$L'$▫ and discuss their codimension growth. For the first algebra of this series we prove the existence and integrality of ▫$\exp(L)$▫.20182019-10-28 13:26:11Članek v reviji112631sl