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The recursive dimension formula for graded lie algebras and its applications

 

作者: Kyounghee Kim,   Dong Uy shin,  

 

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

页码: 2627-2652

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826585

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

In this paper, we obtain a recursive dimension formula for all γ- graded Lie algebras 𝔏 = +α∈γ𝔩αwith finite dimensional homogeneous sub-spaces, where T is a countable abelian semigroup satisfying a certain finiteness condition. We apply this dimension formula to several Lie algebras to obtain explicit and simple dimension formulas.

 

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