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Recollements, comma categories and morphic enhancements
- Source :
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152 (3) (2022), 567-591
- Publication Year :
- 2019
-
Abstract
- For each recollement of triangulated categories, there is an epivalence between the middle category and the comma category associated to a triangle functor from the category on the right to the category on the left. For a morphic enhancement of a triangulated category $\mathcal{T}$, there are three explicit ideals of the enhancing category, whose corresponding factor categories are all equivalent to the module category over $\mathcal{T}$. Examples related to inflation categories and weighted projective lines are discussed.<br />Comment: all comments are welcome!
- Subjects :
- Mathematics - Rings and Algebras
Mathematics - Representation Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 152 (3) (2022), 567-591
- Publication Type :
- Report
- Accession number :
- edsarx.1905.10256
- Document Type :
- Working Paper