Kac determinant and singular vector of the level N representation of Ding-Iohara-Miki algebra
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866912652987465728 |
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| author | Ohkubo, Yusuke |
| author_facet | Ohkubo, Yusuke |
| contents | In this paper, we obtain the formula for the Kac determinant of the algebra arising from the level $N$ representation of the Ding-Iohara-Miki algebra. It is also discovered that its singular vectors correspond to generalized Macdonald functions (the q-deformed version of the AFLT basis). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1706_02243 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Kac determinant and singular vector of the level N representation of Ding-Iohara-Miki algebra Ohkubo, Yusuke Mathematical Physics High Energy Physics - Theory Quantum Algebra In this paper, we obtain the formula for the Kac determinant of the algebra arising from the level $N$ representation of the Ding-Iohara-Miki algebra. It is also discovered that its singular vectors correspond to generalized Macdonald functions (the q-deformed version of the AFLT basis). |
| title | Kac determinant and singular vector of the level N representation of Ding-Iohara-Miki algebra |
| topic | Mathematical Physics High Energy Physics - Theory Quantum Algebra |
| url | https://arxiv.org/abs/1706.02243 |