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.

20 pages, latex2e, Algbreas and Repr. theory, in press

References in corpus (1)

• The Hopf modules category and the Hopf equation

Cited by in corpus (1)

• Integrals, quantum Galois extensions and the affineness criterion for quantum Yetter-Drinfel'd modules