Incompressible representations of the Birman-Wenzl-Murakami algebra
Quantum Algebra
2009-11-11 v1 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0507364,
title = {Incompressible representations of the Birman-Wenzl-Murakami algebra},
author = {V. Pasquier},
journal= {arXiv preprint arXiv:math/0507364},
year = {2009}
}
Comments
latex bmw.tex, 1 file, 20 pages (http://www-spht.cea.fr/articles/T05/121)