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Quantun function algebras as quantum enveloping algebras

 

作者: Fabio Gavarini,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 6  

页码: 1795-1818

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826240

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

Inspired by a result in [Ga], we locate three integer forms ofFq[SL(n+ 1)] overk[q,q-1] wih a presentation by generators and relations, which forq=1 specialize toU(𝔥)), where 𝔥 is the Lie bialgebra of the Poisson Lie group dual toSL(n+1). In sight of this we prove two PBW-like theorems forFq[SL(n+ 1)], both related to the classical PBW theorem for U(𝔥).

 

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