Noncommutative Jordan superalgebras of degree n > 2

被引:0
|
作者
A. P. Pozhidaev
P. Shestakov
机构
[1] Siberian Branch,Sobolev Institute of Mathematics
[2] Russian Academy of Sciences,undefined
[3] Universidade de São Paulo,undefined
来源
Algebra and Logic | 2010年 / 49卷
关键词
noncommutative Jordan superalgebra; coordinatization theorem;
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摘要
We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative Jordan superalgebra of characteristic 0 and degree n > 1 is simple. Modulo a “nodal” case, we classify central simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0.
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页码:18 / 42
页数:24
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