On pseudo-bialgebras
Quantum Algebra
2011-11-11 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1111.2559,
title = {On pseudo-bialgebras},
author = {Carina Boyallian and José I. Liberati},
journal= {arXiv preprint arXiv:1111.2559},
year = {2011}
}
Comments
arXiv admin note: substantial text overlap with arXiv:math/0007121