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The split kac superalgebra k10

 

作者: Daniel King,  

 

期刊: Communications in Algebra  (Taylor Available online 1994)
卷期: Volume 22, issue 1  

页码: 29-40

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408824829

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Over a ring of scalars R without 2-torsion there is, up to a scalar multiple, only one odd product that can be defined on a Kac bimodule to form a Jordan superalgebra. Over a field F with charF ¬= 2,3, the split Kac superalgebra K10(F) is simple. Indeed for any ring R of scalars with 1/6εR, we have a one-to-one correspondence between the associative ideals I of R and the graded ideals X of K10{R) given by I - I = K10(I). For any R with 1/2εR, we have a one-to-one correspondence between the associative ideals I of R and the ideals or outer ideals of the Jordan algebra J(Q, eo) of a split quadratic form Q over R.

 

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