Braided antisymmetrizer as bialgebra homomorphism
arXiv:q-alg/9512008 · doi:10.1016/0034-4877(96)88958-0
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.
5 pages, AMSLaTex