Mathematics – Quantum Algebra
Scientific paper
1998-07-03
Mathematics
Quantum Algebra
20 pages, latex2e, Algbreas and Repr. theory, in press
Scientific paper
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.
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