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Classification of higher wide subcategories for higher Auslander algebras of type A
Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review
Links
- https://arxiv.org/pdf/2002.01778.pdf
Accepteret manuskript
DOI
- https://doi.org/10.1016/j.jpaa.2020.106583
Forlagets udgivne version
- Martin Herschend, Uppsala University ,
- Peter Jørgensen
A subcategory W of an abelian category is called wide if it is closed under kernels, cokernels, and extensions. Wide subcategories are of interest in representation theory because of their links to other homological and combinatorial objects, established among others by Ingalls–Thomas and Marks–Šťovíček. If d⩾1 is an integer, then Jasso introduced the notion of d-abelian categories, where kernels, cokernels, and extensions have been replaced by longer complexes. Wide subcategories can be generalised to this situation. Important examples of d-abelian categories arise as the d-cluster tilting subcategories Mn,d of modAnd−1, where And−1 is a higher Auslander algebra of type A in the sense of Iyama. This paper gives a combinatorial description of the wide subcategories of Mn,d in terms of what we call non-interlacing collections.
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | 106583 |
| Tidsskrift | Journal of Pure and Applied Algebra |
| Vol/bind | 225 |
| Nummer | 5 |
| Antal sider | 22 |
| ISSN | 0022-4049 |
| DOI | |
| Status | Udgivet - maj 2021 |
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