Subcategories of fixed points of mutations by exceptional objects in triangulated categories
| Autor: | Li Dan Tang |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Subcategory
Derived category Triangulated category Applied Mathematics General Mathematics 010102 general mathematics Isomorphism-closed subcategory Fixed point 01 natural sciences Coherent sheaf Exceptional object 010101 applied mathematics Combinatorics Mathematics::K-Theory and Homology Mathematics::Category Theory Projective line 0101 mathematics Mathematics::Representation Theory Mathematics |
| Zdroj: | Acta Mathematica Sinica, English Series. 32:187-198 |
| ISSN: | 1439-7617 1439-8516 |
| DOI: | 10.1007/s10114-016-3081-2 |
| Popis: | We first prove that the subcategory of fixed points of mutation determined by an exceptional object E in a triangulated category coincide with the perpendicular category of E. Based on this characterisation, we prove that the subcategory of fixed points of mutation in the derived category of the coherent sheaves on weighted projective line with genus one is equivalent to the derived category of a hereditary algebra. Meanwhile, we induce two new recollements by left and right mutations from a given recollement. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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