Fractal behavior of tensor powers of the two dimensional space in prime characteristic
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910077108092928 |
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| author | Coulembier, Kevin Etingof, Pavel Ostrik, Victor Tubbenhauer, Daniel |
| author_facet | Coulembier, Kevin Etingof, Pavel Ostrik, Victor Tubbenhauer, Daniel |
| contents | We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and its generating function show fractal behavior akin to Mahler functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16786 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fractal behavior of tensor powers of the two dimensional space in prime characteristic Coulembier, Kevin Etingof, Pavel Ostrik, Victor Tubbenhauer, Daniel Representation Theory Category Theory Rings and Algebras Primary: 11N45, 18M05, Secondary: 11B85, 26A12, 30B30 We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and its generating function show fractal behavior akin to Mahler functions. |
| title | Fractal behavior of tensor powers of the two dimensional space in prime characteristic |
| topic | Representation Theory Category Theory Rings and Algebras Primary: 11N45, 18M05, Secondary: 11B85, 26A12, 30B30 |
| url | https://arxiv.org/abs/2405.16786 |