Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

Mark D. Gould, Jon R. Links, Yao-Zhong Zhang
1996 Journal of Mathematical Physics  
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
more » ... two-variable link polynomials are determined in fully explicit form.
doi:10.1063/1.531422 fatcat:l4figgytyrdynmn4yt2x4tihju