Okubo algebras in characteristic 3 and their automorphisms
作者:
Alberto Elduque,
期刊:
Communications in Algebra
(Taylor Available online 1999)
卷期:
Volume 27,
issue 6
页码: 3009-3030
ISSN:0092-7872
年代: 1999
DOI:10.1080/00927879908826607
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
Associated to any eight-dimensional non-unital composition algebra with associative norm, there are outer automorphisms of order 3 of the corresponding spin group, such tiat the fixed subgroup is the automorphism group of the composition algebra. Over fields of characteristic ≠ 3 these are simple algebraic groups of typesG2orA2, related respectively to the para-octonion and the Okubo algebras
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