The Long dimodule category and nonlinear equation
Abstract
We study the Long dimodule category in conection with a nonlinear equation; we called the Dequation. The category of Long dimodules will play for the Dequation the same role as the category of YetterDrinfel'd (crossed) modules play for the quantum YangBaxter equation. A FRT type theorem is given and new class of coalgebras are introduced. Several new examples of noncommutative noncocomutative bialgebras are given.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 July 1998
 DOI:
 10.48550/arXiv.math/9807017
 arXiv:
 arXiv:math/9807017
 Bibcode:
 1998math......7017M
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematics  Rings and Algebras
 EPrint:
 20 pages, latex2e, Algbreas and Repr. theory, in press