Incompressible representations of the Birman-Wenzl-Murakami algebra

Mathematics – Quantum Algebra

Scientific paper

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

Scientific paper

10.1007/s00023-006-0262-z

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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