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arXiv · 0909.4835

A Vertex Algebra Commutant for the $βγ$-System and Howe pairs

Yan-Jun Chu·Fang Huang·Zhu-Jun Zheng
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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 $V$ of Lie algebra $sl(2,\C)$, we describe a commutant of $βγ$- System $S(V)$ by giving its generators, moreover, we get a new Howe pair of vertex algebras.

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BibTeXRIS

Yan-Jun Chu, Fang Huang, Zhu-Jun Zheng. 2009-09-26. A Vertex Algebra Commutant for the $βγ$-System and Howe pairs. https://arxiv.org/abs/0909.4835

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