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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