Communications in Theoretical Physics ›› 1993, Vol. 20 ›› Issue (3): 371-374.

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Invariants of Quantum Algebras and Their Applications in Physics

H.C. LEE1,2   

  1. 1. Theoretical Physics Branch, Chalk River Laboratories, AECL Research Chalk River, Ontario, Canada KOJ 1JO;
    2. Department of Applied Mathematics University of Western Ontario London, Ontario, Canada N6A 5B9
  • Received: 1992-10-21 Published: 1993-10-30
  • Funding Information: 

    Natural Sciences and Engineering Research Council of Canada.

Abstract: We summarize recent results[1] on a functor that maps tangles to commutants of a quasitriangular Hopf algebra. In certain cases, images of (1, 1)-tangles are new Casimir operators of the algebraLwhose eigenvalues are link invariants. Some applications to physics are briefly discussed.