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Search: MSC category 17B69 ( Vertex operators; vertex operator algebras and related structures )

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Chen, Fulin; Gao, Yun; Jing, Naihuan; Tan, Shaobin
Twisted Vertex Operators and Unitary Lie Algebras
A representation of the central extension of the unitary Lie algebra coordinated with a skew Laurent polynomial ring is constructed using vertex operators over an integral $\mathbb Z_2$-lattice. The irreducible decomposition of the representation is explicitly computed and described. As a by-product, some fundamental representations of affine Kac-Moody Lie algebra of type $A_n^{(2)}$ are recovered by the new method.

Keywords:Lie algebra, vertex operator, representation theory
Categories:17B60, 17B69

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