Doctor of Philosophy (PhD)
In this dissertation, concepts from homological algebra are used to study the existence of Auslander-Reiten triangles.
Auslander-Reiten triangles are closely related to representable functors, and the main theorem characterizes the existence of representable functors in a specific bounded derived category of constructible complexes.
Under certain boundedness conditions, a specific bounded derived category is shown to have Auslander-Reiten triangles.
Sivaprasad, Vishnu Prasad, "Auslander-Reiten Triangles on a Bounded Derived Category of Constructible Complexes" (2024). LSU Doctoral Dissertations. 6347.
Achar, Pramod N.
Available for download on Saturday, January 11, 2025