Poisson algebras associated to quasi-Hopf algebras

被引：7
|
作者：
Enriquez, B
Halbout, G
机构：
[1] Univ Strasbourg 1, UMR 7501, Inst Rech Math Avancee Strasbourg, F-67084 Strasbourg, France
[2] CNRS, F-67084 Strasbourg, France
来源：
ADVANCES IN MATHEMATICS | 2004年 / 186卷 / 02期
关键词：
D O I：
10.1016/j.aim.2003.08.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by h-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible one. We prove a related statement: any associator is twist-equivalent to a Lie associator. We attach a quantized formal series algebra to each admissible QHQUE algebra and study the resulting Poisson algebras. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：363 / 395
页数：33
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