Lie algebras with S3 or S4-action, and generalized Malcev algebras
Rings and Algebras
2008-01-17 v1
Abstract
Lie algebras endowed with an action by automorphisms of any of the symmetric groups S3 or S4 are considered, and their decomposition into a direct sum of irreducible modules for the given action is studied. In case of S3-symmetry, the Lie algebras are coordinatized by some nonassociative systems, which are termed generalized Malcev algebras, as they extend the classical Malcev algebras. These systems are endowed with a binary and a ternary products, and include both the Malcev algebras and the Jordan triple systems.
Keywords
Cite
@article{arxiv.0801.2481,
title = {Lie algebras with S3 or S4-action, and generalized Malcev algebras},
author = {Alberto Elduque and Susumu Okubo},
journal= {arXiv preprint arXiv:0801.2481},
year = {2008}
}
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35 pages