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

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

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 \(k\Lambda_0\) and parafermionic spases for the same affine Lie algebras. As a result, we obtain their character...

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Veröffentlicht in:arXiv.org 2021-09
Hauptverfasser: Okado, Masato, Takenaka, Ryo
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie groups
Modules
Subspaces
Weight
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Zusammenfassung: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 \(k\Lambda_0\) and parafermionic spases for the same affine Lie algebras. As a result, we obtain their character formulas conjectured in arXiv:math/0102113.
ISSN:2331-8422