Jordan superalgebras defined by brackets

Authors
Martinez, C Shestakov, I Zelmanov, E
Citation
C. Martinez et al., Jordan superalgebras defined by brackets, J LOND MATH, 64, 2001, pp. 357-368
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN journal
00246107 → ACNP
Volume
64
Year of publication
2001
Part
2
Pages
357 - 368
Database
ISI
SICI code
0024-6107(200110)64:<357:JSDBB>2.0.ZU;2-C
Abstract
Jordan superalgebras defined by brackets on associative commutative superal gebras are studied. It is proved that any such superalgebra is imbedded int o a superalgebra defined by Poisson brackets. In particular, all Jordan sup eralgebras of brackets are i-special. The speciality of these superalgebras is also examined, and it is proved, in particular, that the Cheng-Kac supe ralgebra is special.