Abstract
We construct a family of representations of a central extension of loop group and affine Lie algebra for \(\frak {sl}_n\) and study their relations with highest weight modules. We also construct Whittaker functionals on our prepresentations.
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Presented by: Vyjayanthi Chari
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The second author’s research is supported by Hong Kong RGC grant 16305619.
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Dai, X., Zhu, Y. A Construction of Representations of Loop Group and Affine Lie Algebra of \(\frak {sl}_{n}\). Algebr Represent Theor 25, 649–668 (2022). https://doi.org/10.1007/s10468-021-10039-9
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DOI: https://doi.org/10.1007/s10468-021-10039-9