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A PBW basis for lusztig’s form of untwisted affine quantum groups

 

作者: Fabio Gavarini,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 2  

页码: 903-918

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826468

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: PBW Theorems;Restricted Affine Quantum Groups

 

数据来源: Taylor

 

摘要:

Let ĝ an untwisted affine Kac-Moody algebra over the field C, and letUq(ĝ) be the associated quantum enveloping algebra; letUq(ĝ) be the Lusztig’s integer form ofUq(ĝ), generated byq-divided powers of Chevalley generators over a suitable sub ringRofC(q). We prove a Poincaré-Birkhoff-Witt like theorem forUq(ĝ), yielding a basis overRmade of ordered products ofq-divided powers of suitable quantum root vectors.

 

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