Bosonic and Fermionic Representations of Lie Algebra Central Extensions
Representation Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Given any representation of an arbitrary Lie algebra L over a field k of characteristic 0, we construct representations of L on bosonic and fermionic Fock space. The method gives an explicit formula for a (sometimes trivial) 2-cocycle in H^2(L;k). We illustrate these techniques with several concrete examples.
Keywords
Cite
@article{arxiv.math/0405576,
title = {Bosonic and Fermionic Representations of Lie Algebra Central Extensions},
author = {Michael Lau},
journal= {arXiv preprint arXiv:math/0405576},
year = {2007}
}
Comments
25 pages