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Incompressible representations of the Birman-Wenzl-Murakami algebra

V. Pasquier
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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.

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BibTeXRIS

V. Pasquier. 2005-07-18. Incompressible representations of the Birman-Wenzl-Murakami algebra. https://doi.org/10.1007/s00023-006-0262-z

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