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.
Publié le : 2005-07-18
Classification:
Mathematics - Quantum Algebra,
Condensed Matter - Mesoscale and Nanoscale Physics,
Mathematical Physics
@article{0507364,
author = {Pasquier, V.},
title = {Incompressible representations of the Birman-Wenzl-Murakami algebra},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0507364}
}
Pasquier, V. Incompressible representations of the Birman-Wenzl-Murakami algebra. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507364/