Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations
Quantum Algebra
2010-04-09 v1 Representation Theory
Abstract
We construct a class of new Lie algebras by generalizing the one-variable Lie algebras generated by the quadratic conformal algebras (or corresponding Hamiltonian operators) associated to Poisson algebras and a quasi-derivation found by Xu. These algebras can be viewed as certain twists of Xu's generalized Hamiltonian Lie algebras. The simplicity of these algebras is completely determined. Moreover, we construct a family of multiplicity-free representations of these Lie algebras and prove their irreducibility.
Keywords
Cite
@article{arxiv.1004.1314,
title = {Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations},
author = {Ling Chen},
journal= {arXiv preprint arXiv:1004.1314},
year = {2010}
}