arXiv Analytics

Sign in

arXiv:1902.05866 [math.RT]AbstractReferencesReviewsResources

$τ$-Tilting Finite Tilted and Cluster-Tilted Algebras

Stephen Zito

Published 2019-02-13Version 1

Let B be a tilted or cluster-tilted algebra. We prove that B is $\tau$-tilting finite if and only if B is representation-finite.

Comments: 9 pages. arXiv admin note: text overlap with arXiv:1608.02418, arXiv:1608.01616; text overlap with arXiv:1410.1732, arXiv:1604.06907 by other authors
Categories: math.RT
Subjects: 16G60, 16G70
Related articles: Most relevant | Search more
arXiv:1112.3870 [math.RT] (Published 2011-12-16)
On one-point extensions of cluster-tilted algebras
arXiv:1410.1732 [math.RT] (Published 2014-10-07)
Induced and Coinduced Modules in Cluster-Tilted Algebras
arXiv:math/0510445 [math.RT] (Published 2005-10-20)
From tilted to cluster-tilted algebras of Dynkin type