Mathematics – Quantum Algebra
Scientific paper
2005-07-18
Mathematics
Quantum Algebra
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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