Pentagon equation and matrix bialgebras

Details Pentagon equation and matrix bialgebras Pentagon equation and matrix bialgebras

2000-01-17

arxiv.org/abs/math/0001095v2

Mathematics

Quantum Algebra

21 pages

Scientific paper

We classify coproducts on matrix algebra in terms of solutions to some
modification of pentagon equation. The construction of Baaj and Skandalis
describing finite dimensional unitary solutions of pentagon equation is
extended to the non-unitary case. We establish the relation between Hopf-Galois
algebras and solutions to modified pentagon equation.

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