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arXiv · 1403.4571

Twisted vertex operators and unitary Lie algebras

Fulin Chen·Yun Gao·Naihuan Jing·Shaobin Tan
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Abstract

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 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.

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Fulin Chen, Yun Gao, Naihuan Jing, Shaobin Tan. 2014-03-18. Twisted vertex operators and unitary Lie algebras. https://doi.org/10.4153/cjm-2014-010-1

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