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An Infinite Suite of Links-Gould Invariants

David De Wit
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Abstract

This paper describes a method to obtain state model parameters for an infinite series of Links-Gould link invariants LG^{m,n}, based on quantum R matrices associated with the (\dot{0}_m | \dotα_n) representations of the quantum superalgebras U_q[gl(m|n)]. Explicit details of the state models for the cases n=1 and m=1,2,3,4 are supplied. Some evaluations of the new link invariants are provided, as are some of their gross properties.

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David De Wit. 2000-07-09. An Infinite Suite of Links-Gould Invariants. https://arxiv.org/abs/math/0004170

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