On pseudo-bialgebras

JOURNAL OF ALGEBRA

卷:372

Article

Boyallian, Carina¹  Liberati, Jose I.¹ 

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

关键词: Lie pseudoalgebras;    Lie bialgebras;   

DOI  :  10.1016/j.jalgebra.2012.08.009

来源: Elsevier

【 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.

【 授权许可】

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