The Hopf modules category and the Hopf equation

Mathematics – Quantum Algebra

Scientific paper

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30 pages, Letax2e, Comm. Algebra in press

Scientific paper

We study the Hopf equation which is equivalent to the pentagonal equation,
from operator algebras. A FRT type theorem is given and new types of quantum
groups are constructed. The key role is played now by the classical Hopf
modules category. As an application, a five dimensional noncommutative
noncocommutative bialgebra is given.

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