Branching Formula for $q$-Toda Function of Type B
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866912653003194368 |
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| author | Hoshino, Ayumu Ohkubo, Yusuke Shiraishi, Jun'ichi |
| author_facet | Hoshino, Ayumu Ohkubo, Yusuke Shiraishi, Jun'ichi |
| contents | We present a proof of the explicit formula for the asymptotically free eigenfunctions of the $B_N$ $q$-Toda operator which was conjectured by the first and third authors. This formula can be regarded as a branching formula from the $B_N$ $q$-Toda eigenfunction restricted to the $A_{N-1}$ $q$-Toda eigenfunctions. The proof is given by a contigulation relation of the $A_{N-1}$ Toda eigenfunctions and a recursion relation of the branching coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_04378 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Branching Formula for $q$-Toda Function of Type B Hoshino, Ayumu Ohkubo, Yusuke Shiraishi, Jun'ichi Quantum Algebra Mathematical Physics Combinatorics We present a proof of the explicit formula for the asymptotically free eigenfunctions of the $B_N$ $q$-Toda operator which was conjectured by the first and third authors. This formula can be regarded as a branching formula from the $B_N$ $q$-Toda eigenfunction restricted to the $A_{N-1}$ $q$-Toda eigenfunctions. The proof is given by a contigulation relation of the $A_{N-1}$ Toda eigenfunctions and a recursion relation of the branching coefficients. |
| title | Branching Formula for $q$-Toda Function of Type B |
| topic | Quantum Algebra Mathematical Physics Combinatorics |
| url | https://arxiv.org/abs/2103.04378 |