Braided antisymmetrizer as bialgebra homomorphism

Details Braided antisymmetrizer as bialgebra homomorphism Braided antisymmetrizer as bialgebra homomorphism

1995-12-06

arxiv.org/abs/q-alg/9512008v1

Mathematics

Quantum Algebra

5 pages, AMSLaTex

Scientific paper

10.1016/0034-4877(96)88958-0

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.

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