Type-I Quantum Superalgebras, $q$-Supertrace and Two-variable Link Polynomials

Details Type-I Quantum Superalgebras, $q$-Supertrace and Two-variable Link Polynomials Type-I Quantum Superalgebras, $q$-Supertrace and Two-variable Link Polynomials

1995-06-27

arxiv.org/abs/q-alg/9506024v2

J.Math.Phys. 37 (1996) 987-1003

Physics

High Energy Physics

High Energy Physics - Theory

the version to be published in J. Math. Phys

Scientific paper

10.1063/1.531422

A new general eigenvalue formula for the eigenvalues of Casimir invariants, for the type-I quantum superalgebras, is applied to the construction of link polynomials associated with {\em any} finite dimensional unitary irrep for these algebras. This affords a systematic construction of new two-variable link polynomials asociated with any finite dimensional irrep (with a real highest weight) for the type-I quantum superalgebras. In particular infinite families of non-equivalent two-variable link polynomials are determined in fully explicit form.

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