English

Positive Energy Representations of the Loop Groups of Non Simply Connected Lie Groups

Quantum Algebra 2009-11-07 v1 Representation Theory

Abstract

We classify and construct all irreducible positive energy representations of the loop group of a compact, connected and simple Lie group and show that they admit an intertwining action of Diff(S^{1}).

Keywords

Cite

@article{arxiv.math/0106196,
  title  = {Positive Energy Representations of the Loop Groups of Non Simply Connected Lie Groups},
  author = {Valerio Toledano-Laredo},
  journal= {arXiv preprint arXiv:math/0106196},
  year   = {2009}
}

Comments

Available from Springer Verlag at http://link.springer.de/