On pseudo-bialgebras

Details On pseudo-bialgebras On pseudo-bialgebras

2011-11-10

arxiv.org/abs/1111.2559v1

Mathematics

Quantum Algebra

arXiv admin note: substantial text overlap with arXiv:math/0007121

Scientific paper

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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