On pseudo-bialgebras

被引：14

作者：

Boyallian, Carina ^{[1
]}

Liberati, Jose I. ^{[1
]}

机构：

[1] Univ Nacl Cordoba, Ciem Famaf, RA-5000 Cordoba, Argentina

来源：

JOURNAL OF ALGEBRA | 2012年 / 372卷

关键词：

Lie pseudoalgebras; Lie bialgebras;

D O I：

10.1016/j.jalgebra.2012.08.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study pseudoalgebras from the point of view of pseudo-dual of classical Lie coalgebra structures. We define the notions of Lie H-coalgebra and Lie pseudo-bialgebra. We obtain the analog of the CYBE, the Manin triples and Drinfeld's double for Lie pseudo-bialgebras. We also get a natural description of the annihilation algebra associated to a pseudoalgebra as a convolution algebra, clarifying this construction in the theory of pseudoalgebras. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1 / 34

页数：34

共 15 条

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