activity
20002023
most citedAbsolutely indecomposable representations and Kac-Moody Lie algebras (with an appendix by Hiraku Nakajima)

55 citations · 144 across the 20 of their papers we have counts for

collaborators

28 papers

math.RT2023

Rigid integral representations of quivers over arbitrary commutative rings

William Crawley-Boevey

In earlier work, the author classified rigid representations of a quiver by finitely generated free modules over a principal ideal ring. Here we extend the results to representatio…

math.RA2022

Semilinear clannish algebras

Raphael Bennett-Tennenhaus, William Crawley-Boevey

We define a class of associative algebras generalizing 'clannish algebras', as introduced by the second author, but also incorporating semilinear structure, like a skew polynomial…

math.RT2021

On deformed preprojective algebras

William Crawley-Boevey, Yuta Kimura

Deformed preprojective algebras are generalizations of the usual preprojective algebras introduced by Crawley-Boevey and Holland, which have applications to Kleinian singularities,…

math.RT2019

Combinatorics of faithfully balanced modules

William Crawley-Boevey, Biao Ma, Baptiste Rognerud +1

We study and classify faithfully balanced modules for the algebra of lower triangular by matrices. The theory extends known results about tilting modules, which are classif…

math.RT2018

Decomposition of persistence modules

Magnus Bakke Botnan, William Crawley-Boevey

We show that a pointwise finite-dimensional persistence module indexed over a small category decomposes into a direct sum of indecomposables with local endomorphism rings. As an ap…

math.RT2018

A new approach to simple modules for preprojective algebras

William Crawley-Boevey, Andrew Hubery

The work of the first author on the moment map for representations of quivers included a classification of the possible dimension vectors of simple modules for deformed preprojecti…