Blocks of Ariki-Koike algebras and level-rank duality
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910894185775104 |
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| author | Declercq, David Jacon, Nicolas |
| author_facet | Declercq, David Jacon, Nicolas |
| contents | We study the blocks for Ariki-Koike algebras using a general notion of core for $l$-partitions. We interpret the action of the affine symmetric group on the blocks in the context of level rank duality and study the orbits under this action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19355 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Blocks of Ariki-Koike algebras and level-rank duality Declercq, David Jacon, Nicolas Representation Theory Combinatorics 20C08, 05E10, 20C20 We study the blocks for Ariki-Koike algebras using a general notion of core for $l$-partitions. We interpret the action of the affine symmetric group on the blocks in the context of level rank duality and study the orbits under this action. |
| title | Blocks of Ariki-Koike algebras and level-rank duality |
| topic | Representation Theory Combinatorics 20C08, 05E10, 20C20 |
| url | https://arxiv.org/abs/2409.19355 |