English

The Lie algebraic structure of extended Sutherland models

Exactly Solvable and Integrable Systems 2007-05-23 v4

Abstract

We disclose the Lie algebraic structure of two extended Sutherland models. Their Hamiltonians are BC_N, and A_N Sutherland Hamiltonians with some additional terms. We show that both Hamiltonians can be written in the quadratic forms of generators of the Lie algebra gl(N+1).

Keywords

Cite

@article{arxiv.nlin/0411042,
  title  = {The Lie algebraic structure of extended Sutherland models},
  author = {Kazuyuki Oshima},
  journal= {arXiv preprint arXiv:nlin/0411042},
  year   = {2007}
}

Comments

9 pages, added note and reference, corrected typos

R2 v1 2026-07-22T18:13:02.355Z