English

Classification of All Poisson-Lie Structures on an Infinite-Dimensional Jet Group

q-alg 2009-10-28 v1 Quantum Algebra

Abstract

A local classification of all Poisson-Lie structures on an infinite-dimensional group GG_{\infty} of formal power series is given. All Lie bialgebra structures on the Lie algebra \CalG{\Cal G}_{\infty} of GG_{\infty} are also classified.

Keywords

Cite

@article{arxiv.q-alg/9506007,
  title  = {Classification of All Poisson-Lie Structures on an Infinite-Dimensional Jet Group},
  author = {Boris Kupershmidt and Ognyan Stoyanov},
  journal= {arXiv preprint arXiv:q-alg/9506007},
  year   = {2009}
}

Comments

11 pages, AmSTeX file