dorsal/arxiv
View SchemaType-I Quantum Superalgebras, $q$-Supertrace and Two-variable Link Polynomials
| Authors | Mark D. Gould, Jon R. Links, Yao-Zhong Zhang |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9506024 |
| URL | https://arxiv.org/abs/q-alg/9506024 |
| DOI | 10.1063/1.531422 |
| Journal | J.Math.Phys. 37 (1996) 987-1003 |
Abstract
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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"abstract": "A new general eigenvalue formula for the eigenvalues of Casimir invariants,\nfor the type-I quantum superalgebras, is applied to the construction of link\npolynomials associated with {\\em any} finite dimensional unitary irrep for\nthese algebras. This affords a systematic construction of new two-variable link\npolynomials asociated with any finite dimensional irrep (with a real highest\nweight) for the type-I quantum superalgebras. In particular infinite families\nof non-equivalent two-variable link polynomials are determined in fully\nexplicit form.",
"arxiv_id": "q-alg/9506024",
"authors": [
"Mark D. Gould",
"Jon R. Links",
"Yao-Zhong Zhang"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1063/1.531422",
"journal_ref": "J.Math.Phys. 37 (1996) 987-1003",
"title": "Type-I Quantum Superalgebras, $q$-Supertrace and Two-variable Link Polynomials",
"url": "https://arxiv.org/abs/q-alg/9506024"
},
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