Twisted Vertex Operators and Unitary Lie Algebras
| العنوان: | Twisted Vertex Operators and Unitary Lie Algebras |
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| المؤلفون: | Fulin Chen, Yun Gao, Naihuan Jing, Shaobin Tan |
| المصدر: | Canadian Journal of Mathematics. 67:573-596 |
| بيانات النشر: | Canadian Mathematical Society, 2015. |
| سنة النشر: | 2015 |
| مصطلحات موضوعية: | Vertex (graph theory), Ring (mathematics), Pure mathematics, Computer Science::Information Retrieval, General Mathematics, Laurent polynomial, 010102 general mathematics, Type (model theory), 01 natural sciences, Representation theory, Unitary state, Mathematics - Quantum Algebra, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, 0103 physical sciences, Lie algebra, FOS: Mathematics, 17B, Quantum Algebra (math.QA), 010307 mathematical physics, Affine transformation, Representation Theory (math.RT), 0101 mathematics, Mathematics::Representation Theory, Mathematics - Representation Theory, Mathematics |
| الوصف: | 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. 26 pages |
| تدمد: | 1496-4279 0008-414X |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5153e349b10351dd9697d108afca3a90Test https://doi.org/10.4153/cjm-2014-010-1Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....5153e349b10351dd9697d108afca3a90 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14964279 0008414X |
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