An Atavistic Lie Algebra

Authors :: David B. Fairlie
Cosmas K. Zachos
Source :: Physics letters B, 2006, Vol.637(1-2), pp.123-127 [Peer Reviewed Journal]
Publication Year :: 2006
Publisher :: arXiv, 2006.
Abstract: An infinite-dimensional Lie Algebra is proposed which includes, in its subalgebras and limits, most Lie Algebras routinely utilized in physics. It relies on the finite oscillator Lie group, and appears applicable to twisted noncommutative QFT and CFT.<br />Comment: 9 pages, LateX2e

Subjects :: High Energy Physics - Theory
Physics
Nuclear and High Energy Physics
Pure mathematics
Mathematics::Operator Algebras
Simple Lie group
Adjoint representation
FOS: Physical sciences
Mathematical Physics (math-ph)
Killing form
Affine Lie algebra
Lie conformal algebra
Graded Lie algebra
Adjoint representation of a Lie algebra
Representation of a Lie group
High Energy Physics - Theory (hep-th)
Mathematics::Quantum Algebra
Mathematical Physics

Database :: OpenAIRE
Journal :: Physics letters B, 2006, Vol.637(1-2), pp.123-127 [Peer Reviewed Journal]
Accession number :: edsair.doi.dedup.....0508d61531b83289d6e243f8a90a68e3
Full Text :: https://doi.org/10.48550/arxiv.hep-th/0603017