ON LIE-YAMAGUTI COLOR ALGEBRAS

Authors

  • A. N. Issa Département de Mathématiques, Université d'Abomey-Calavi, 01 BP 4521 Cotonou, Bénin Author
  • P. L. Zoungrana Département de Mathématiques de la Décision, Université Ouaga 2, 12 BP 412 Ouagadougou 12, Burkina-Faso Author

Keywords:

Lie color algebra, Akivis color algebra, Leibniz color algebra, Lie-Yamaguti color algebra

Subjects:

17B55, 17B60, 17B99

Abstract

Lie-Yamaguti color algebras are defined and some examples are provided. Itis shown that any Leibniz color algebra has a natural Lie-Yamagutistructure. For a given Lie-Yamaguti color algebra, an enveloping Lie coloralgebra is constructed and it is proved that any Lie color algebra withreductive decomposition induces a Lie-Yamaguti structure on some of its subspaces.

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Published

2019-07-15

Issue

Vol. 71 No. 3 (2019): Vol. 71, Issue 3

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.