Existence of a 2-cluster tilting module does not imply finite complexity

Marczinzik, René and Vaso, Laertis (2021) Existence of a 2-cluster tilting module does not imply finite complexity. MPIM Preprint Series 2021 (1).

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Abstract

We give an example of a finite-dimensional algebra with a 2-cluster tilting module and a simple module which has infinite complexity. This answers a question of Erdmann and Holm.

Item Type: MPIM Preprint
Subjects: 1 Discrete mathematics / algebra > 16-XX Associative rings and algebras
Divisions: Research > Preprints
Depositing User: Andrea Kohlhuber
Date Deposited: 11 Feb 2021 09:16
Last Modified: 11 Feb 2021 10:41
URI: https://archive.mpim-bonn.mpg.de/id/eprint/4194

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