The Quantum sl_{2}-Invariant of a Family of Knots

Abstract

We
give a general formula of the quantum sl_{2}-invariant
of a family of braid knots. To compute the quantum invariant of the links we
use the Lie algebra g=sl_{2} in its standard two-dimensional
representation. We also recover the Jones polynomial of these knots as a
special case of this quantum invariant.

Cite this paper

A. Nizami, M. Munir and M. Bano, "The Quantum sl_{2}-Invariant of a Family of Knots," *Applied Mathematics*, Vol. 5 No. 1, 2014, pp. 70-78. doi: 10.4236/am.2014.51008.

A. Nizami, M. Munir and M. Bano, "The Quantum sl

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