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 form...
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| creator | Okado, Masato Takenaka, Ryo |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2109.08892 |
| format | Article |
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same affine Lie algebras. As a result, we obtain their character formulas
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$A_{2l}^{(2)}$ by Butorac and Sadowski, we construct bases of the highest
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$A_{2l}^{(2)}$ 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.</abstract><doi>10.48550/arxiv.2109.08892</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Quantum Algebra Mathematics - Representation Theory |
| 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)} |
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