期刊
COMPTES RENDUS MATHEMATIQUE
卷 347, 期 11-12, 页码 595-598出版社
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2009.04.004
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类别
资金
- MEC [MTM2006-15338-C02-02]
- i-MATH [CSD2006-00032]
- Xunta de Galicia [PGIDIT106PXIB371128PR]
Co-representations of Leibniz n-algebras are defined as left modules over the universal enveloping algebra. We define the homology of a Leibniz it-algebra L with coefficients in a co-representation M as the homology of the Leibniz complex of L circle times n-1 over the co-representation M circle times L. We prove the cancellation of the homology over free objects and the generalization of the following isomorphism in Leibniz homology HL*(L, L) congruent to HL*+1 (L, K) from Leibniz algebras to Leibniz n-algebras. To cite this article: J.M. Casas, C. R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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