Quantum octonions

 

作者: Murray Bremner,  

 

期刊: Communications in Algebra  (Taylor Available online 1999)
卷期: Volume 27, issue 6  

页码: 2809-2831

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826594

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

This paper constructs a quantum deformation of the complex Cayley dgebra. The method uses the representation theory ofUq(sl(2)), the quantized enveloping algebra of the simple complex Lie algebra s/(2). The paper begins by constructing a quantum deforma-tion of the complex quaternion algebra, since this simpler case illustrates all of the necessary steps. As intermediate results, deformations are constructed of sl(2) and the 7-dimensional simple Malcev algebra.

 

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