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arXiv · 1901.02625

A Construction of Representations of Loop Group and Affine Lie Algebra of $\mathfrak{sl}_n$

Xuanzhong Dai·Yongchang Zhu
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Abstract

In this paper, we construct a representation of loop group and derive the formula of the corresponding representation of the affine Kac-Moody algebra with level 1. And we also provide a concrete realization of Whittaker functionals in the dual representation.

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BibTeXRIS

Xuanzhong Dai, Yongchang Zhu. 2019-01-09. A Construction of Representations of Loop Group and Affine Lie Algebra of $\mathfrak{sl}_n$. https://doi.org/10.1007/s10468-021-10039-9

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