Odd-quadratic Malcev superalgebras

Elisabete Barreiro

Abstract


We present some properties of odd-quadratic Malcev superalgebras. The aim of this paper is to present the notions of double extension and generalized double extension of odd-quadratic Malcev superalgebras, culminating in the inductive description of odd-quadratic Malcev superalgebras such that the even part is a reductive Malcev algebra.


Keywords


Invariant scalar products; Central extensions of Malcev superalgebras; Generalized semi-direct products of Malcev superalgebras

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