English

The Long dimodule category and nonlinear equation

Quantum Algebra 2014-03-18 v1 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.math/9807017,
  title  = {The Long dimodule category and nonlinear equation},
  author = {Gigel Militaru},
  journal= {arXiv preprint arXiv:math/9807017},
  year   = {2014}
}

Comments

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