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Jordan Superalgebras Defined by Brackets |
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| Authors: | Martinez Consuelo; Shestakov Ivan; Zelmanov Efim |
| Institution: | Departamento de Matemáticas, Universidad de Oviedo C/Calvo Sotelo, s/n 33007, Oviedo, Spain, chelo{at}pinon.ccu.uniovi.es Instituto de Mathemática e Estatística, Universidade de São Paulo Caixa Postal 66281 – CEP 05315-970, São Paulo, Brazil Sobolev Institute of Mathematics Novosibirsk 630090, Russia, shestak{at}ime.usp.br Department of Mathematics, Yale University New Haven, CT 06520, USA KIAS Seoul 130-012, South Korea, zelmanov{at}math.yale.edu |
| Abstract: | Jordan superalgebras defined by brackets on associative commutativesuperalgebras are studied. It is proved that any such superalgebrais imbedded into a superalgebra defined by Poisson brackets.In particular, all Jordan superalgebras of brackets are i-special.The speciality of these superalgebras is also examined, andit is proved, in particular, that the Cheng–Kac superalgebrais special. |
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