1,289 research outputs found
Heisenberg duoble, pentagon equation, structure and classification of finite dimensional Hopf algebras
The study of the pentagon (fusion) equation leds to the Structure and the
Classification theorem for finite dimenasional Hopf algebras: there exists a
one to one correspondence between the set of types of n-dimensional Hopf
algebtras and the set of the orbits of the resticted Jordan action , the representatives of wich are invertible solutions of
length n of the pentagon equation.Comment: 22 pg, late
Integrals, quantum Galois extensions and the affineness criterion for quantum Yetter-Drinfel'd modules
We introduce and study a general concept of integral of a threetuple (H, A,
C), where H is a Hopf algebra acting on a coalgebra C and coacting on an
algebra A. In particular, quantum integrals associated to Yetter-Drinfel'd
modules are defined. Let A be an H-bicomodule algebra, be the
category of (generalized) Yetter-Drinfel'd modules and the subalgebra of
coinvariants of the Verma structure of . We introduce the concept of quantum
Galois extensions and we prove the affineness criterion in a quantum version.Comment: latex 32 pg. J. Algebra, to appea
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