Type-I Quantum Superalgebras, $q$-Supertrace and Two-variable Link Polynomials
q-alg
2009-10-28 v2 高能物理 - 理论
量子代数
摘要
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.
引用
@article{arxiv.q-alg/9506024,
title = {Type-I Quantum Superalgebras, $q$-Supertrace and Two-variable Link Polynomials},
author = {Mark D. Gould and Jon R. Links and Yao-Zhong Zhang},
journal= {arXiv preprint arXiv:q-alg/9506024},
year = {2009}
}
备注
the version to be published in J. Math. Phys