Odd-quadratic Malcev superalgebras
Algebra and discrete mathematics, Tome 9 (2010) no. 2, pp. 11-38
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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.
@article{ADM_2010_9_2_a1,
author = {Elisabete Barreiro},
title = {Odd-quadratic {Malcev} superalgebras},
journal = {Algebra and discrete mathematics},
pages = {11--38},
publisher = {mathdoc},
volume = {9},
number = {2},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2010_9_2_a1/}
}
Elisabete Barreiro. Odd-quadratic Malcev superalgebras. Algebra and discrete mathematics, Tome 9 (2010) no. 2, pp. 11-38. http://geodesic.mathdoc.fr/item/ADM_2010_9_2_a1/