Generalizations of Lie Algebras
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
14/10/2013
14/10/2013
2012
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| Resumo |
The generalizations of Lie algebras appeared in the modern mathematics and mathematical physics. In this paper we consider recent developments and remaining open problems on the subject. Some of that developments have been influenced by lectures given by Professor Jaime Keller in his research seminar. The survey includes Lie superalgebras, color Lie algebras, Lie algebras in symmetric categories, free Lie tau-algebras, and some generalizations with non-associative enveloping algebras: tangent algebras to analytic loops, bialgebras and primitive elements, non-associative Hopf algebras. FAPESP (Brazil) [2010/51952-3, 2010/50347-9] FAPESP (Brazil) CNPq (Brazil) CNPq (Brazil) [305344/2009-9] |
| Identificador |
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, BASEL, v. 22, n. 3, Special Issue, supl. 1, Part 1, pp. 721-743, SEP, 2012 0188-7009 http://www.producao.usp.br/handle/BDPI/35048 10.1007/s00006-012-0357-1 |
| Idioma(s) |
eng |
| Publicador |
SPRINGER BASEL AG BASEL |
| Relação |
ADVANCES IN APPLIED CLIFFORD ALGEBRAS |
| Direitos |
closedAccess Copyright SPRINGER BASEL AG |
| Palavras-Chave | #LIE ALGEBRA #SUPERALGEBRA #H-HOPF ALGEBRA #COTRIANGULAR HOPF-ALGEBRAS #QUANTUM SYMMETRIC ALGEBRAS #DOUBLE CENTRALIZER THEOREM #ENVELOPING-ALGEBRAS #MALCEV ALGEBRAS #AKIVIS ALGEBRAS #WITT THEOREM #BIALGEBRAS #LOOPS #SUPERALGEBRAS #MATHEMATICS, APPLIED #PHYSICS, MATHEMATICAL |
| Tipo |
article original article publishedVersion |
