A Vertex Algebra Commutant for the $\beta\gamma$-System and Howe pairs
Quantum Algebra
2009-09-29 v1 Mathematical Physics
math.MP
Abstract
Analogue to commutants in the theory of associative algebras, one can construct a new subalgebra of vertex algebra known as a vertex algebra commutant. In this paper, for the adjoint representation of Lie algebra , we describe a commutant of - System by giving its generators, moreover, we get a new Howe pair of vertex algebras.
Cite
@article{arxiv.0909.4835,
title = {A Vertex Algebra Commutant for the $\beta\gamma$-System and Howe pairs},
author = {Yan-Jun Chu and Fang Huang and Zhu-Jun Zheng},
journal= {arXiv preprint arXiv:0909.4835},
year = {2009}
}
Comments
15 pages, No figures. This is our first paper of series on this topic