A reduction formula for the Dunkl kernel for the root systems of type $A$
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910745659179008 |
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| author | Sawyer, P. |
| author_facet | Sawyer, P. |
| contents | In this paper, we provide a reduction formula for the Dunkl kernel for the root systems of type $A$. The Dunkl kernel for the root system $A_n$ is expressed as an integral involving the Dunkl kernel for the root system $A_{n-1}$. The corresponding reduction formula for the intertwining operator $V_k$ is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A reduction formula for the Dunkl kernel for the root systems of type $A$ Sawyer, P. Representation Theory Primary 33C52, 33C45, Secondary 43A90 In this paper, we provide a reduction formula for the Dunkl kernel for the root systems of type $A$. The Dunkl kernel for the root system $A_n$ is expressed as an integral involving the Dunkl kernel for the root system $A_{n-1}$. The corresponding reduction formula for the intertwining operator $V_k$ is given. |
| title | A reduction formula for the Dunkl kernel for the root systems of type $A$ |
| topic | Representation Theory Primary 33C52, 33C45, Secondary 43A90 |
| url | https://arxiv.org/abs/2412.10866 |