Link invariants associated with gauge equivalent solutions of the Yang-Baxter equation: The one-parameter family of minimal typical representations of Uq[gl(2|1)]

In this paper we investigate the construction of state models for link invariants using representations of the braid group obtained from various gauge choices for a solution of the trigonometric Yang-Baxter equation. Our results show that it is possible to obtain invariants of regular isotopy (as defined by Kauffman) which may not be ambient isotopic. We illustrate our results with explicit computations using solutions of the trigonometric Yang-Baxter equation associated with the one-parameter family of minimal typical representations of the quantum superalgebra U-q,[gl(2/1)]. We have implemented MATHEMATICA code to evaluate the invariants for all prime knots up to 10 crossings.

Discovering the Law Again: John Grisham, Ed Stevens and the Postmaterial Lawyer

This paper uses three films adapted from the novels of John Grisham, The Firm, The Rainmaker and A Time To Kill, as well as associated television series like Ed to map a vernacular theory of what I have termed the 'postmaterial' lawyer. Grisham's work has been the focus of much critique by legal scholars who suggests he hates lawyers, is critical of the concept of law, and provides 'outlandishly' happy endings. I will challenge these critiques and, in tracing the history of legal thrillers and trial movies, suggest that Grisham and the related texts' explorations of how a just practitioner can operate in an unjust system constitute a powerful interrogation of what law can be.