Scattering matrices and affine Hecke algebras
q-alg
2015-06-26 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
We construct the scattering matrices for an arbitrary Weyl group in terms of elementary operators which obey the generalised Yang-Baxter equation. We use this construction to obtain the affine Hecke algebras. The center of the affine Hecke algebras coincides with commuting Hamiltonians. These Hamiltonians have q-deformed affine Lie algebras as symmetry algebra.
Cite
@article{arxiv.q-alg/9508002,
title = {Scattering matrices and affine Hecke algebras},
author = {Vincent Pasquier},
journal= {arXiv preprint arXiv:q-alg/9508002},
year = {2015}
}
Comments
22 pages, harvmac, no figures, Lecture at Schladming, March 4,11 1995