Subdivision of KLRW Algebras in Affine Type A
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914807634984960 |
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| author | Qin, Tao |
| author_facet | Qin, Tao |
| contents | In this paper, we consider the subdivision map between two KLRW algebras of type $A^{(1)}_e$ and $A^{(1)}_{e+1}$. We show that the image of an idempotent indexed by a partition under this map is still an idempotent indexed by a partition, and give the form of this new partition. Moreover, we give an equality of some graded decomposition numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14175 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Subdivision of KLRW Algebras in Affine Type A Qin, Tao Representation Theory Quantum Algebra 16G99, 20C08, 20C30, 20G43 In this paper, we consider the subdivision map between two KLRW algebras of type $A^{(1)}_e$ and $A^{(1)}_{e+1}$. We show that the image of an idempotent indexed by a partition under this map is still an idempotent indexed by a partition, and give the form of this new partition. Moreover, we give an equality of some graded decomposition numbers. |
| title | Subdivision of KLRW Algebras in Affine Type A |
| topic | Representation Theory Quantum Algebra 16G99, 20C08, 20C30, 20G43 |
| url | https://arxiv.org/abs/2405.14175 |