C. Ingalls

activity

20042026

most citedNoncrossing partitions and representations of quivers

132 citations · 204 across the 31 of their papers we have counts for

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8 papers · 1 filter

math.RT2023

A universal sheaf of algebras governing representations of vector fields on quasi-projective varieties

Yuly Billig, Colin Ingalls

We construct a quasi-coherent sheaf of associative algebras which controls a category of $A V$ -modules over a smooth quasi-projective variety. We establish a local structure theorem…

math.RT2020

McKay quivers and Lusztig algebras of some finite groups

Ragnar-Olaf Buchweitz, Eleonore Faber, Colin Ingalls +1

We are interested in the McKay quiver $Γ (G)$ and skew group rings $A * G$ , where $G$ is a finite subgroup of $GL (V)$ , where $V$ is a finite dimensional vector space over a f…

math.RT2020★ 1 cited

$A V$ modules of finite type on affine space

Yuly Billig, Colin Ingalls, Amir Nasr

We study the category of modules admitting compatible actions of the Lie algebra $V$ of vector fields on an affine space and the algebra $A$ of polynomial funct…

math.RT2017

Homological behavior of idempotent subalgebras and Ext algebras

Colin Ingalls, Charles Paquette

Let $A$ be a (left and right) Noetherian ring that is semiperfect. Let $e$ be an idempotent of $A$ and consider the ring $Γ := (1 - e) A (1 - e)$ and the semi-simple right $A$ -module $S_e…

math.RT2015

Computing global dimension of endomorphism rings via ladders

Brandon Doherty, Eleonore Faber, Colin Ingalls

This paper deals with computing the global dimension of endomorphism rings of maximal Cohen--Macaulay (=MCM) modules over commutative rings. Several examples are computed. In parti…

math.RT2014

Homological dimensions for co-rank one idempotent subalgebras

Colin Ingalls, Charles Paquette

Let $k$ be an algebraically closed field and $A$ be a (left and right) Noetherian associative $k$ -algebra. Assume further that $A$ is either positively graded or semiperfect (this…

math.RT2012★ 4 cited

Semi-stable subcategories for Euclidean quivers

Colin Ingalls, Charles Paquette, Hugh Thomas

In this paper, we study the semi-stable subcategories of the category of representations of a Euclidean quiver, and the possible intersections of these subcategories. Contrary to t…

math.RT2006★ 132 cited

Noncrossing partitions and representations of quivers

Colin Ingalls, Hugh Thomas

We situate the noncrossing partitions associated to a finite Coxeter group within the context of the representation theory of quivers. We describe Reading's bijection between noncr…