关于伪双代数
On pseudo-bialgebras
摘要：
从经典李余代数结构的伪对偶的角度研究伪代数。定义了李H-余代数和李伪双代数的概念。我们得到了李伪双代数的CYBE、Manin三元组和Drinfeld双元组的类比。我们还得到了一个自然的描述湮没代数作为卷积代数的伪代数，澄清了伪代数理论中的这种结构。
英文摘要：
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 constructions in the theory of pseudoalgebras.
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