Combinatorial relations among relations of $C_{2}\sp{(1)}$-standard modules for higher levels
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929300253442048 |
|---|---|
| author | Šikić, Tomislav |
| author_facet | Šikić, Tomislav |
| contents | For an affine Lie algebra $\hat{\mathfrak g}$ the coefficients of certain vertex operators which annihilate level $k$ standard $\hat{\mathfrak g}$-modules are the defining relations for level $k$ standard modules. In the paper \cite{PS3} combinatorial structure of the leading terms of mentioned relations for level $k=2$ standard $\hat{\mathfrak g}$-modules and affine Lie algebras of type $C_{n}\sp{(1)}$ is given. The main result of this paper is a construction of combinatorially parameterized relations among relations of $C_{2}\sp{(1)}$-standard modules for all levels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Combinatorial relations among relations of $C_{2}\sp{(1)}$-standard modules for higher levels Šikić, Tomislav Quantum Algebra 17B69, 17B10, 17B67, 05E16 For an affine Lie algebra $\hat{\mathfrak g}$ the coefficients of certain vertex operators which annihilate level $k$ standard $\hat{\mathfrak g}$-modules are the defining relations for level $k$ standard modules. In the paper \cite{PS3} combinatorial structure of the leading terms of mentioned relations for level $k=2$ standard $\hat{\mathfrak g}$-modules and affine Lie algebras of type $C_{n}\sp{(1)}$ is given. The main result of this paper is a construction of combinatorially parameterized relations among relations of $C_{2}\sp{(1)}$-standard modules for all levels. |
| title | Combinatorial relations among relations of $C_{2}\sp{(1)}$-standard modules for higher levels |
| topic | Quantum Algebra 17B69, 17B10, 17B67, 05E16 |
| url | https://arxiv.org/abs/2404.01791 |