Spin Calogero-Moser systems associated with simple Lie algebras

Luen Chau Li; Ping Xu

doi:10.1016/S0764-4442(00)00508-5

Spin Calogero-Moser systems associated with simple Lie algebras

Luen Chau Li, Ping Xu

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We introduce spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations. Our analysis is based on a group-theoretic framework similar in spirit to the standard classical r-matrix theory for constant r-matrices.

Original language	English (US)
Pages (from-to)	55-60
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	331
Issue number	1
DOIs	https://doi.org/10.1016/S0764-4442(00)00508-5
State	Published - Jul 1 2000

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S0764-4442(00)00508-5

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title = "Spin Calogero-Moser systems associated with simple Lie algebras",

abstract = "We introduce spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations. Our analysis is based on a group-theoretic framework similar in spirit to the standard classical r-matrix theory for constant r-matrices.",

author = "Li, {Luen Chau} and Ping Xu",

note = "Funding Information: ∗ Research partially supported by NSF grant DMS97-04391. 1 Note that the constrained manifold is not a Poisson manifold in either [2] or [3], although the conserved quantities Poisson commute on it.",

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AU - Xu, Ping

N1 - Funding Information: ∗ Research partially supported by NSF grant DMS97-04391. 1 Note that the constrained manifold is not a Poisson manifold in either [2] or [3], although the conserved quantities Poisson commute on it.

PY - 2000/7/1

Y1 - 2000/7/1

N2 - We introduce spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations. Our analysis is based on a group-theoretic framework similar in spirit to the standard classical r-matrix theory for constant r-matrices.

AB - We introduce spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations. Our analysis is based on a group-theoretic framework similar in spirit to the standard classical r-matrix theory for constant r-matrices.

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IS - 1

ER -

Spin Calogero-Moser systems associated with simple Lie algebras

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