Character formulas for Feigin-Stoyanovsky's type subspaces of standard $\mathfrak{sl}(3, \mathbb{C})^{\widetilde{}}$-modules
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2011
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| _version_ | 1866911372504203264 |
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| author | Jerkovic, Miroslav |
| author_facet | Jerkovic, Miroslav |
| contents | Exact sequences of Feigin-Stoyanovsky's type subspaces for affine Lie algebra $\mathfrak{sl}(l+1,\mathbb{C})^{\widetilde{}}$ lead to systems of recurrence relations for formal characters of those subspaces. By solving the corresponding system for $\mathfrak{sl}(3,\mathbb{C})^{\widetilde{}}$, we obtain a new family of character formulas for all Feigin-Stoyanovsky's type subspaces at general level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1105_2927 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Character formulas for Feigin-Stoyanovsky's type subspaces of standard $\mathfrak{sl}(3, \mathbb{C})^{\widetilde{}}$-modules Jerkovic, Miroslav Quantum Algebra Primary 17B67, Secondary 17B69, 05A19 Exact sequences of Feigin-Stoyanovsky's type subspaces for affine Lie algebra $\mathfrak{sl}(l+1,\mathbb{C})^{\widetilde{}}$ lead to systems of recurrence relations for formal characters of those subspaces. By solving the corresponding system for $\mathfrak{sl}(3,\mathbb{C})^{\widetilde{}}$, we obtain a new family of character formulas for all Feigin-Stoyanovsky's type subspaces at general level. |
| title | Character formulas for Feigin-Stoyanovsky's type subspaces of standard $\mathfrak{sl}(3, \mathbb{C})^{\widetilde{}}$-modules |
| topic | Quantum Algebra Primary 17B67, Secondary 17B69, 05A19 |
| url | https://arxiv.org/abs/1105.2927 |