Duality for Exotic Bialgebras
量子代数
2008-11-26 v1 高能物理 - 理论
摘要
In the classification of Hietarinta, three triangular -matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one. In this paper, we find the bialgebras which are in duality with these three exotic matrix bialgebras. We note that the duality of FRT is not sufficient for the construction of the bialgebras in duality. We find also the quantum planes corresponding to these bialgebras both by the Wess-Zumino R-matrix method and by Manin's method.
引用
@article{arxiv.math/0101160,
title = {Duality for Exotic Bialgebras},
author = {D. Arnaudon and A. Chakrabarti and V. K. Dobrev and S. G. Mihov},
journal= {arXiv preprint arXiv:math/0101160},
year = {2008}
}
备注
25 pages, LaTeX2e, using packages: cite, amsfonts, amsmath, subeqn