Solutions of yang-baxter equation in an endomorphism semigroup and quasi-(co)braided almost bialgebrasFootnote^∗

^∗Project 19501007 supported by National Natural Science Foundation of China

References

• Baxter , R.J. 1982 . Exactly Solved Models in Statistical Mechanics , London : Academic Press .
   Google Scholar
• Drinfeld , V.G. . Quantum groups . In Proc. Int. Cong. Math . 1986 , Berkeley. pp. 798 – 820 . Providence, RI : Amer. Math. Soc .
   Google Scholar
• Faddeev , L.D. 1981 . Integrable models in (l + l)-dimensional quantum field theroy Lectures at Les Houches 1982 , Amsterdam, New York : Elsevier Science Publishers B.V .
   Google Scholar
• Hayashi T. Almost bialgebras and Solvable lattice models of face type to appear
   Google Scholar
• Hayashi , T. 1991 . An Algebra Related to the Fusion Rules of Wess-Zumino Witten Models . Letters in Math. Phys , 22 : 291 – 296 .
   Web of Science ®Google Scholar
• Hayashi T. Algebras and their Drinfeld doubles to appear
   Google Scholar
• Howie , J.M. 1976 . An Introduction to Semigroup Theory , New York : Academic Press .
   Google Scholar
• Kassel , C. 1995 . Quantum groups , New York : Springer-Verlag .
   Google Scholar
• Larson , R.G. and Towber , J. 1991 . Two dual classes of bialgebras related to the concepts of “quantum group“ and ”quantum Lie algebra” . Comm. Algebra , 19 : 3295 – 3345 .
   Web of Science ®Google Scholar
• Li , F. 1998 . Weak Hopf Algebras and Some New Solutions of Quantum Yang-Baxter Equation . J. Algebra , 208 : 72 – 100 .
   Web of Science ®Google Scholar
• Lu , D.M. 1997 . Dual Aspects of The Quasitriangular Bialgebras and The Braided Bialgebras . Chin. Ann. Math , 18B ( 3 ) : 331 – 336 .
   Google Scholar
• Montgomery , S. . Hopf algebras and their actions on rings . CBMS Regional Conferences Series in Math . Vol. 82 ,
   Google Scholar
• Reshetikhin , N.Yu , Takhtadjian , L.A. and Faddeev , L.D. 1989 . Quantization of Lie groups and Lie algebras . Algebra i Analiz , 1 : 178 – 206 . English transh Leningrad Math. J. , 1, 193-225, (1990)
   Google Scholar
• Yang , C.N. 1967 . Some exact results for the many-body problem in one dimension with repulsive delta-function interaction . Phys. Rev. Lett , 19 : 1312 – 1315 .
   Web of Science ®Google Scholar
• Nill F. Axioms for weak bialgebras submitted
   Google Scholar