Irreducible Characters and Clebsch-Gordan Series for the Exceptional Algebra E6: An Approach through the Quantum Calogero-Sutherland Model

DOI

10.2991/jnmp.2005.12.s1.23How to use a DOI?

Abstract

We re-express the quantum Calogero-Sutherland model for the Lie algebra E6 and the particular value of the coupling constant = 1 by using the fundamental irreducible characters of the algebra as dynamical variables. For that, we need to develop a systematic procedure to obtain all the Clebsch-Gordan series required to perform the change of variables. We describe how the resulting quantum Hamiltonian operator can be used to compute more characters and Clebsch-Gordan series for this exceptional algebra.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - J. Fernández-Núñez
AU  - W. Garcia-Fuertes
AU  - A.M. Perelomov
PY  - 2005
DA  - 2005/01/01
TI  - Irreducible Characters and Clebsch-Gordan Series for the Exceptional Algebra E6: An Approach through the Quantum Calogero-Sutherland Model
JO  - Journal of Nonlinear Mathematical Physics
SP  - 280
EP  - 301
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.23
DO  - 10.2991/jnmp.2005.12.s1.23
ID  - Fernández-Núñez2005
ER  -