Braided antisymmetrizer as bialgebra homomorphism
q-alg
2009-10-28 v1 Quantum Algebra
Abstract
For an Yang Baxter operator we show that a bialgebra homomorphism from a free braided tensor bialgebra to a cofree braided shuffle bialgebra is the Woronowicz braided antisymmetrizer. A cofree braided shuffle bialgebra is a braided generalization of a cofree shuffle bialgebra introduced by Sweedler. Its graded dual bialgebra is a free braided tensor bialgebra.
Keywords
Cite
@article{arxiv.q-alg/9512008,
title = {Braided antisymmetrizer as bialgebra homomorphism},
author = {J. Rozanski},
journal= {arXiv preprint arXiv:q-alg/9512008},
year = {2009}
}
Comments
5 pages, AMSLaTex