Affiliation:
1. School of Mathematics and Statistics, Liaoning University, Shenyang, China
2. School of Mathematics, Northeast Normal University, Changchun, China
Abstract
This paper is primarily devoted to studying (?, ?)-derivations of
finite-dimensional Lie superalgebras over an algebraically closed field F.
We research some properties of (?, ?)-derivations and the relationship
between the (?, ?)-derivations and other generalized derivations. Under
certain conditions, a left-multiplication structure concerned with (?,
?)-derivations can induces a left-symmetric superalgebra structure. Let L be
a Lie superalgebra, we give a subgroup G of Aut(L), exploiting fundamental
properties, we introduce and analyze their interiors, especially focusing on
the rationality of the corresponding Hilbert series when G is a cyclic
group.
Publisher
National Library of Serbia
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