The Hopf modules category and the Hopf equation

Abstract

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.

30 pages, Letax2e, Comm. Algebra in press

References in corpus (2)

• Quantum Random Walks and Time Reversal
• New types of bialgebras arising from the Hopf equation

Cited by in corpus (6)

• Set-theoretic solutions of the Pentagon Equation
• Heisenberg duoble, pentagon equation, structure and classification of finite dimensional Hopf algebras
• The Long dimodule category and nonlinear equation
• Idempotent set-theoretical solutions of the pentagon equation
• Set-theoretical solutions of the pentagon equation on Clifford semigroups
• Set-theoretical solutions to the pentagon equation: a survey