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Spectral Characters of a Class of Integrable Representations of Toroidal Lie Algebras

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Abstract

In this paper we study the subcategory of finite-length objects of the category of positive level integrable representations of a toroidal Lie algebra. The main goal is to characterize the blocks of the category. In the cases when the underlying finite type Lie algebra associated with the toroidal Lie algebra is simply-laced, we are able to give a parametrization for the blocks.

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Acknowledgements

I sincerely thank the reviewer for his comments and suggestions, which significantly improved the paper.

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Authors and Affiliations

  1. Indian Institute of Science Education and Research, Mohali, Punjab, India

    Tanusree Khandai

  2. School of Mathematical Sciences, NISER, HBNI, Jatni, Odisha, 752050, India

    Tanusree Khandai

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  1. Tanusree Khandai
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Correspondence to Tanusree Khandai.

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Presented by: Vyjayanthi Chari

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Khandai, T. Spectral Characters of a Class of Integrable Representations of Toroidal Lie Algebras. Algebr Represent Theor 22, 1149–1181 (2019). https://doi.org/10.1007/s10468-018-9816-2

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