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math.RT2015
Finitary 2-categories associated with dual projection functors
Anna-Louise Grensing, Volodymyr Mazorchuk
We study finitary 2-categories associated to dual projection functors for finite dimensional associative algebras. In the case of path algebras of admissible tree quivers (which in…
math.RT2012★ 1 cited
Categorification of the Catalan monoid
Anna-Louise Grensing, Volodymyr Mazorchuk
We construct a finitary additive 2-category whose Grothendieck ring is isomorphic to the semigroup algebra of the monoid of order-decreasing and order-preserving transformations of…
math.RT2012
Monoid algebras of projection functors
Anna-Louise Grensing
We study the monoid of so called projection functors $\p{S}$ attached to simple modules of a finite dimensional algebra, which appear naturally in the study of torsion pairs. W…