On a parameterized family of twist quantum coalgebras and the bracket polynomial1

Journal of Algebra

Volumn 225, Issue 1, 2000, Pages 93-123

  Radford, David E ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034148368     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1999.8094     Document Type: Article

References (14)

1. E. Abe, "Hopf algebras," Cambridge Tracts in Mathematics, Vol. 74, Cambridge Univ. Press, Cambridge, UK, 1980.
2. I. N. Herstein, "Noncommutative rings," Carus Mathematical Monographs, Am. Math. Soc., Providence, 1968.
3. J. Hietarinta, Solving the two-dimensional constant quantum Yang-Baxter equation, J. Math. Phys. 34 (1993), 1725-1756.
4. L. Kauffman, Gauss codes, quantum groups and ribbon Hopf algebras, Rev. in Math. Phys. 5 (1993), 735-773.
5. L. Kauffman, "Knots and Physics," World Scientific, Singapore/London/Hong Kong, 1991, 1994.
6. L. H. Kauffman and D. E. Radford, A separation result for quantum coalgebras with an application to pointed quantum coalgebras of small dimension, J. Algebra (in press).
7. L. H. Kauffman and D. E. Radford, Invariants of 3-manifolds derived from finite-dimensional Hopf algebras, J. Knot Theory Ramifications 4 (1995), 131-162.
8. L. H. Kauffman and D. E. Radford, Quantum algebra structures on n × n matrices, J. Algebra 213 (1999) , 405-436.
9. L. H. Kauffman and D. E. Radford, Quantum Algebras, Quantum Coalgebras, Invariants of 1-1 Tangles and Knots (submitted).
10. L. A. Lambe and D. E. Radford, "Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach," Kluwer Academic, Boston/Dordrecht/London, 1997.
11. S. Montgomery, "Hopf algebras and their actions on rings," Regional Conference Series in Mathematics, Vol. 82, Am. Math. Soc. Providence, 1993.
12. D. E. Radford, On Kauffman's knot invariants arising from finite-dimensional Hopf algebras," in "Advances in Hopf Algebras Chicago, 1992, Lecture Notes in Pure and Applied Mathematics," Vol. 148, pp. 205-266, Dekker, New York.
13. D. E. Radford, Solutions to the quantum Yang-Baxter equation arising from pointed bialgebras, Trans. Amer. Math. Soc. 343 (1994), 455-477.
14. M. E. Sweedler, "Hopf Algebras," Benjamin, New York, 1969.