From the Drinfeld Realization to the Drinfeld-Jimbo Presentation of Affine Quantum Algebras: Injectivity

被引：32

作者：

Damiani, Ilaria ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dept Math, I-00133 Rome, Italy

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2015年 / 51卷 / 01期

关键词：

quantum groups; REPRESENTATIONS;

D O I：

10.4171/PRIMS/150

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The surjective homomorphism psi (see [Da1]) from the Drinfeld realization u(q)(Dr) to the Drinfeld and Jimbo presentation u(q)(DJ) of affine quantum algebras is proved to be injective. A consequence of the arguments used in the paper is the triangular decomposition of the Drinfeld realization of affine quantum algebras also in the twisted case. A presentation of affine Kac-Moody algebras in terms of "Drinfeld generators" is also provided.

引用

页码：131 / 171

页数：41

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