Abstract
Using the bases of principal subspaces for twisted affine Lie algebras except \(A_{2l}^{(2)}\) by Butorac and Sadowski, we construct bases of the highest weight modules of highest weight kΛ0 and parafermionic spases for the same affine Lie algebras. As a result, we obtain their character formulas conjectured in Hatayama et al. (2001).
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26 September 2022
A Correction to this paper has been published: https://doi.org/10.1007/s10468-022-10159-w
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Acknowledgements
The authors thank Marijana Butorac and Slaven Kožić for their interest and comments. M.O. is supported by Grants-in-Aid for Scientific Research No. 19K03426 and No. 16H03922 from JSPS. This work was partly supported by Osaka City University Advanced Mathematical Institute (MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics JPMXP0619217849).
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Presented by: Anne Moreau
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Okado, M., Takenaka, R. Parafermionic Bases of Standard Modules for Twisted Affine Lie Algebras of Type \(A_{2l-1}^{(2)}\), \(D_{l+1}^{(2)}\), \(E_{6}^{(2)}\) and \(D_{4}^{(3)}\). Algebr Represent Theor 26, 1669–1690 (2023). https://doi.org/10.1007/s10468-022-10145-2
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DOI: https://doi.org/10.1007/s10468-022-10145-2