H C Lee 1996 J. Phys. A: Math. Gen. 29 393 doi:10.1088/0305-4470/29/2/019
Universal tangle invariant and commutants of quantum algebras
H C Lee
Show affiliationsWe construct a universal tangle invariant on a quantum algebra. We show that the invariant maps tangle to commutants of the algebra; every (1,1)-tangle is mapped to a Casimir operator of the algebra; the eigenvalue of the Casimir operator in an irreducible representation of the algebra is a link polynomial for the closure of the tangle. This result is applied to a discussion of the Alexander - Conway polynomial and quantum holonomy in Chern - Simons theory in three dimensions.
- PACS
- MSC
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08A40 Operations, polynomials, primal algebras
- Subjects
- Dates
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Issue 2 (21 January 1996)
Received 25 April 1995
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Universal tangle invariant and commutants of quantum algebras
H C Lee 1996 J. Phys. A: Math. Gen. 29 393
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