Incompressible representations of the Birman-Wenzl-Murakami algebra

Abstract

We construct a representation of the Birman-Wenzl-Murakami algebra acting on a space of polynomials in n variables vanishing when three points coincide. These polynomials are closely related to the Pfaffian state of the Quantum Hall Effect and to the components the transfer matrix eigenvector of a O(n) crossing loop model.

arXiv commentlatex bmw.tex, 1 file, 20 pages (http://www-spht.cea.fr/articles/T05/121)

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