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Original Articles

A Method to Construct Oriented Quantum Algebras

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Pages 4234-4254 | Received 04 Jul 2009, Published online: 20 Jan 2011

REFERENCES

  • Doi , Y. ( 1993 ). Braided bialgebras and quadratic bialgebras . Comm. Algebra 21 ( 5 ): 1731 – 1749 .
  • Kauffman , L. H. , Radford , D. E. ( 1995 ). Invariants of 3-manifolds derived from finite dimensional Hopf algebras . J. Knot Theory Ramifications 4 : 131 – 162 .
  • Kauffman , L. H. , Radford , D. E. ( 2000 ). Quantum algebras, quantum coalgebras, invariants of 1-1 tangles and knots . Comm. Algebra 28 : 5101 – 5156 .
  • Kauffman , L. H. , Radford , D. E. ( 2001a ). Oriented quantum algebras, categories and invariants of knots and links . J. Knot Theory Ramifications 10 : 1047 – 1084 .
  • Kauffman , L. H. , Radford , D. E. ( 2001b ). Oriented quantum algebras and invariants of knots and links . J. Algebra 246 : 253 – 291 .
  • Radford , D. E. ( 1993 ). Minimal quasitriangular Hopf algebras . J. Algebra 157 : 285 – 315 .
  • Radford , D. E. ( 2002 ). On Quantum Algebras and Coalgebras, Oriented Quantum Algebras and Coalgebras, Invariants of 1-1 Tangles, Knots and Links. In New Directions in Hopf Algebras, Mathematical Sciences Institute Publications , Vol. 43 , New York : Cambridge University Press , pp. 263 – 319 .
  • Radford , D. E. ( 2007 ). On the tensor product of an oriented quantum algebra with itself . J. Knot Theory Ramifications 16 : 929 – 957 .
  • Sweedler , M. E. ( 1969 ). Hopf Algebras . New York : Benjamin .
  • Communicated by L. Ein.

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