English

Generalized W-type and H-type algebras

Representation Theory 2009-09-25 v1

Abstract

It is well known that the Poisson Lie algebra is isomorphic to the Hamiltonian Lie algebra. We show that the Poisson Lie algebra can be embedded properly in the special type Lie algebra. We also generalize the Hamiltonian Lie algebra using exponential functions, and we show that these Lie algebras are simple.

Keywords

Cite

@article{arxiv.math/9712294,
  title  = {Generalized W-type and H-type algebras},
  author = {Ki-Bong Nam},
  journal= {arXiv preprint arXiv:math/9712294},
  year   = {2009}
}