The atomic Leibniz rule
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909261484785664 |
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| author | Elias, Ben Ko, Hankyung Libedinsky, Nicolas Patimo, Leonardo |
| author_facet | Elias, Ben Ko, Hankyung Libedinsky, Nicolas Patimo, Leonardo |
| contents | The Demazure operator associated to a simple reflection satisfies the twisted Leibniz rule. In this paper we introduce a generalization of the twisted Leibniz rule for the Demazure operator associated to any atomic double coset. We prove that this atomic Leibniz rule is equivalent to a polynomial forcing property for singular Soergel bimodules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13128 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The atomic Leibniz rule Elias, Ben Ko, Hankyung Libedinsky, Nicolas Patimo, Leonardo Representation Theory Combinatorics The Demazure operator associated to a simple reflection satisfies the twisted Leibniz rule. In this paper we introduce a generalization of the twisted Leibniz rule for the Demazure operator associated to any atomic double coset. We prove that this atomic Leibniz rule is equivalent to a polynomial forcing property for singular Soergel bimodules. |
| title | The atomic Leibniz rule |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2407.13128 |