Universal tangle invariant and commutants of quantum algebras

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/39204

Title:	Universal tangle invariant and commutants of quantum algebras
Authors:	Lee,HC
Contributors:	物理研究所
Keywords:	BRAID GROUP-REPRESENTATIONS;LINK POLYNOMIALS;FIELD THEORY;SUPERGROUPS;KNOTS
Date:	1996
Issue Date:	2010-07-08 14:08:12 (UTC+8)
Publisher:	中央大學
Abstract:	We 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.
Relation:	JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Appears in Collections:	[Graduate Institute of Physics] journal & Dissertation

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