Expander representations of quivers
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909402960756736 |
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| author | Reineke, Markus |
| author_facet | Reineke, Markus |
| contents | We propose a definition of expander representations of quivers, generalizing dimension (or linear algebra) expanders, as a qualitative refinement of slope stability. We prove existence of uniform expander representations for any wild quiver over an algebraically closed base field, using the concept of general subrepresentations and spectral properties of Cartan matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15609 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Expander representations of quivers Reineke, Markus Representation Theory Combinatorics primary 16G20, secondary 05C48 We propose a definition of expander representations of quivers, generalizing dimension (or linear algebra) expanders, as a qualitative refinement of slope stability. We prove existence of uniform expander representations for any wild quiver over an algebraically closed base field, using the concept of general subrepresentations and spectral properties of Cartan matrices. |
| title | Expander representations of quivers |
| topic | Representation Theory Combinatorics primary 16G20, secondary 05C48 |
| url | https://arxiv.org/abs/2411.15609 |