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Coxeter groups, path algebras and preprojective algebras (NAGRT) March 12, 2013 (02:00PM PDT - 03:00PM PDT)
Location: MSRI: Simons Auditorium
Speaker(s) Idun Reiten
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To a finite acyclic quiver we can associate a path algebra kQ (k a field), a preprojective algebra and a Coxeter group. Using a natural map from the Coxeter group to ideals in the preprojective algebra,investigated in work with Buan, Iyama and Scott, we establish a 1-1 correspondence between elements in the Coxeter group and cofinite quotient closed subcategories of the finite dimensional kQ-modules. This is based on work with Oppermann and Thomas.

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