The actor of a crossed module in lie algebras
作者:
J.M. Casas,
M. Ladra,
期刊:
Communications in Algebra
(Taylor Available online 1998)
卷期:
Volume 26,
issue 7
页码: 2065-2089
ISSN:0092-7872
年代: 1998
DOI:10.1080/00927879808826262
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
In the category D,M of crossed modules in Lie algebras we introduce the actor of a crossed module, an object that plays a similar role to derivations of a Lie algebra in the Lie algebras category. From this concept we derive fundamental notions in D,M such as the centre of a crossed module and the action between crossed modules. Using this concept of action we obtain a description of a crossed square (crossed module in the crossed modules category).
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