A Construction of Representations of Loop Group and Affine Lie Algebra of sl_n

Algebras and Representation Theory（2021）

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摘要

We construct a family of representations of a central extension of loop group and affine Lie algebra for sl_n and study their relations with highest weight modules. We also construct Whittaker functionals on our prepresentations.

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关键词

Loop groups,Affine Lie algebras,Whittaker functionals

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