Endo-wild representation type and generic representations of finite posets

David M. Arnold and Daniel Simson

Vol. 219 (2005), No. 1, 1–26

DOI: 10.2140/pjm.2005.219.1

Abstract

The category of finite-dimensional representations of a finite poset over an arbitrary field k is shown to have k-wild representation type if and only if it has k-endo-wild representation type. Included are some characterizations of representation type in terms of existence conditions on infinite-dimensional generic representations and their endomorphism rings.

Milestones

Received: 19 May 2003

Revised: 14 April 2004

Published: 1 March 2005