Multivariable link invariants arising from Lie superalgebras of type I
Nathan Geer, Bertrand Patureau-Mirand
TL;DR
This paper introduces new multivariable link invariants derived from type I Lie superalgebras, utilizing a novel approach to handle the vanishing quantum dimension of typical modules, expanding the toolkit for link invariants.
Contribution
It presents a new construction of link invariants from type I Lie superalgebras using a unique method to address the vanishing quantum dimension issue.
Findings
Constructed multivariable link invariants from type I Lie superalgebras.
Established a method to replace the vanishing quantum dimension of typical modules.
Provided a family of invariants associated with one-parameter modules.
Abstract
This paper generalize [7](math.GT/0601291): We construct new links invariants from g, a type I basic classical Lie superalgebra. The construction uses the existence of an unexpected replacement of the vanishing quantum dimension of typical module. Using this, we get a multivariable link invariant associated to any one parameter family of irreducible g-modules.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons