Integrable representations for extended affine Lie algebras coordinated by quantum tori (Q2844750)

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scientific article; zbMATH DE number 6199359
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Integrable representations for extended affine Lie algebras coordinated by quantum tori
scientific article; zbMATH DE number 6199359

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    19 August 2013
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    extended affine Lie algebra
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    integrable module
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    quantum tori
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    simple module
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    center
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    unitarizable module
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    Integrable representations for extended affine Lie algebras coordinated by quantum tori (English)
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    The paper provides a tensor product realization for simple integrable modules over the core of the extended affine Lie algebra of type \(A\) coordinated by quantum tori constructed in [\textit{S. Eswara Rao}, J. Algebra 275, No. 1, 59--74 (2004; Zbl 1138.17009)]. This realization is used to give a unitarizability criterion for these modules.
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