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Volume 13, Issue 4, November 2006, Pages 467 - 478
G2-Calogero-Moser Lax operators from reduction
Authors
Andreas Fring, Nenad Manojlović
Corresponding Author
Andreas Fring
Received 8 December 2005, Accepted 6 June 2006, Available Online 1 November 2006.
- DOI
- 10.2991/jnmp.2006.13.4.1How to use a DOI?
- Abstract
We construct a Lax operator for the G2-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A6-model to a Bmodel with the help of an embedding of the B3-root system into the A6-root system together with the specification of certain coupling constants. The G2-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G2-system into the B3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie 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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Cite this article
TY - JOUR AU - Andreas Fring AU - Nenad Manojlović PY - 2006 DA - 2006/11/01 TI - G2-Calogero-Moser Lax operators from reduction JO - Journal of Nonlinear Mathematical Physics SP - 467 EP - 478 VL - 13 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2006.13.4.1 DO - 10.2991/jnmp.2006.13.4.1 ID - Fring2006 ER -