Homology, Homotopy and Applications

Volume 21 (2019)

Number 2

Preprojective analogue of the cone construction

Pages: 171 – 198

DOI: https://dx.doi.org/10.4310/HHA.2019.v21.n2.a10


Benjamin Cooper (Department of Mathematics,University of Iowa, Iowa City, Ia., U.S.A.)

Joshua Sussan (Department of Mathematics, CUNY Medgar Evers, Brooklyn, New York, U.S.A.)


We formulate a relative, representation theoretic, notion of the algebraic cone construction. This motivates a generalization of the cone corresponding to a preprojective algebra.


homological algebra, triangulated category, cone, preprojective algebra, derived mapping space

2010 Mathematics Subject Classification

16D90, 18G10, 18G30, 55U35

Received 1 May 2018

Accepted 9 November 2018

Published 27 February 2019