Abstract
A sufficient condition is given for the multiparametric Hopf algebras to be Hopf* -algebras. Then a special subclass of the -algebra related to a Latin square is given. After being completed, its generators are all of norm one.
Similar content being viewed by others
References
Frohlich, I., Statistics of fields, the Yang-Baxter equations and the theorey of knots and links, ETH-Hongerberg C-H 8093, Zarich, 1988.
Qian Zhaohui, Qian Min, Guo Maozheng, A new type of Hopf algebra which are neither commutative nor cocommutative, J. Phys., A: Math. Cer., 1992, 25: 1237.
Manin Yu, I., Quantum Groups and Noncommutative Geometry, Montrend: Les Publications CRM, 1988.
Abe, E., Hopf Algebra, Cambridge Tracts in Math., No. 74, Cambridge-New York: Cambridge Univ. Press, 1980.
Larson, R., Tower, J., Two dual classes of bialgebras related to the concepts of quantum groups, Comm. in Alg., 1991, 19(12): 3295.
Charri, V., Preesly, A., A Guide to Quantum Groups, Cambridge: Cambridge Univ. Press, 1994.
Woronowicz, S.L., Complex matrix pseudogroups, Comm. in Math. Phys., 1987, 111: 613.
Woronowicz, S.L., Twisted SU(2) groups, An example of a non-commutative differential calculus, Publ. RIMS Kyoto Univ., 1987, 23: 117.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Guo, M., Jiang, L. & Qian, M. Hopf C*-algebras related to the Latin square. Sci. China Ser. A-Math. 43, 158–162 (2000). https://doi.org/10.1007/BF02876041
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02876041