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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.06182 |
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| _version_ | 1866912064605257728 |
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| author | Luo, Yongle Rognerud, Baptiste |
| author_facet | Luo, Yongle Rognerud, Baptiste |
| contents | We consider the lattice of all the weak factorization systems on a given finite lattice. We prove that it is semidistributive, trim and congruence uniform. We deduce a graph theoretical approach to the problem of enumerating transfer systems. As an application we find a lower bound for the number of transfer systems on a boolean lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06182 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the lattice of the weak factorization systems on a finite lattice Luo, Yongle Rognerud, Baptiste Combinatorics Algebraic Topology Group Theory Representation Theory We consider the lattice of all the weak factorization systems on a given finite lattice. We prove that it is semidistributive, trim and congruence uniform. We deduce a graph theoretical approach to the problem of enumerating transfer systems. As an application we find a lower bound for the number of transfer systems on a boolean lattice. |
| title | On the lattice of the weak factorization systems on a finite lattice |
| topic | Combinatorics Algebraic Topology Group Theory Representation Theory |
| url | https://arxiv.org/abs/2410.06182 |