An Infinite Suite of Links-Gould Invariants
Abstract
This paper describes a method to obtain state model parameters for an infinite series of Links-Gould link invariants LGm,n, based on quantum R matrices associated with the (0m | αn) representations of the quantum superalgebras Uq[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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