A Vertex Algebra Commutant for the βγ-System and Howe pairs
نویسندگان
چکیده
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 βγSystem S(V ) by giving its generators, moreover, we get a new Howe pair of vertex algebras.
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