Elements of the annihilating ideal of a standard module (Q1183281)
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scientific article; zbMATH DE number 33034
| Language | Label | Description | Also known as |
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| English | Elements of the annihilating ideal of a standard module |
scientific article; zbMATH DE number 33034 |
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Elements of the annihilating ideal of a standard module (English)
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28 June 1992
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The purpose of this paper is to present a collection of commutation relations of vertex operators acting on the tensor product of basic modules over an affine Lie algebra of type \(A\), \(D\) or \(E\), twisted by an automorphism. The result includes that of \textit{J. Lepowsky} and \textit{M. Primc} [Structure of the standard modules for the affine Lie algebra \(A^{(1)}_1\), Contemp. Math. 46 (1985; Zbl 0569.17007)] and of \textit{A. Meurman} and \textit{M. Primc} [Adv. Math. 64, 177--240 (1987; Zbl 0635.17006)], where they are concerned with the case of \(A^{(1)}_1\).
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annihilating ideal
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vertex operators
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basic modules
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affine Lie algebra
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