The Long dimodule category and nonlinear equation
Abstract
We study the Long dimodule category in conection with a nonlinear equation; we called the D-equation. The category of Long dimodules will play for the D-equation the same role as the category of Yetter-Drinfel'd (crossed) modules play for the quantum Yang-Baxter 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 e-prints
- 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
- E-Print:
- 20 pages, latex2e, Algbreas and Repr. theory, in press