| Autor: |
CHEN, XIAO–WU |
| Předmět: |
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| Zdroj: |
Mathematical Proceedings of the Cambridge Philosophical Society; Nov2021, Vol. 171 Issue 3, p657-668, 12p |
| Abstrakt: |
For a finite dimensional algebra A, the bounded homotopy category of projective A-modules and the bounded derived category of A-modules are dual to each other via certain categories of locally-finite cohomological functors. We prove that the duality gives rise to a 2-categorical duality between certain strict 2-categories involving bounded homotopy categories and bounded derived categories, respectively. We apply the 2-categorical duality to the study of triangle autoequivalence groups. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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