Corpus ID: 237571346

# Parafermionic bases of standard modules for twisted affine Lie algebras of type $A_{2l-1}^{(2)}$, $D_{l+1}^{(2)}$, $E_6^{(2)}$ and $D_4^{(3)}$

@inproceedings{Okado2021ParafermionicBO,
title={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)\}\$},
author={Masato Okado and Ryo Takenaka},
year={2021}
}
• Published 18 September 2021
• Mathematics
Using the bases of principal subspaces for twisted affine Lie algebras except A (2) 2l 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 [14].

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