Twisted Vertex Operators and Unitary Lie Algebras
Canadian journal of mathematics, Tome 67 (2015) no. 3, pp. 573-596
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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 $A_{n}^{\left( 2 \right)}$ are recovered by the new method.
Mots-clés :
17B60, 17B69, Lie algebra, vertex operator, representation theory
Chen, Fulin; Gao, Yun; Jing, Naihuan; Tan, Shaobin. Twisted Vertex Operators and Unitary Lie Algebras. Canadian journal of mathematics, Tome 67 (2015) no. 3, pp. 573-596. doi: 10.4153/CJM-2014-010-1
@article{10_4153_CJM_2014_010_1,
author = {Chen, Fulin and Gao, Yun and Jing, Naihuan and Tan, Shaobin},
title = {Twisted {Vertex} {Operators} and {Unitary} {Lie} {Algebras}},
journal = {Canadian journal of mathematics},
pages = {573--596},
year = {2015},
volume = {67},
number = {3},
doi = {10.4153/CJM-2014-010-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-010-1/}
}
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