2011/11/10 by Carina Boyallian, Boyallian, Carina, José I. Liberati +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.1111.2559
arXiv admin note: substantial text overlap with arXiv:math/0007121
arxiv created 2011/11/10 · arxiv updated 2011/11/11
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.