arXiv:1112.3870 Abstract | arXiv Analytics

arXiv:1112.3870 [math.RT]Abstract References Reviews Resources

On one-point extensions of cluster-tilted algebras

Published 2011-12-16Version 1

We define an operation which associates to a pair (B,M) where B is a cluster-tilted algebra and M is a B-module which lies in a local slice of B, a new cluster-tilted algebra B'. In terms of the quivers, this operation corresponds to adding one vertex (and arrows).

Comments: 17 pages

Categories: math.RT, math.RA

Subjects: 16G70, 13F60

Keywords: cluster-tilted algebra, one-point extensions, local slice, operation corresponds, associates

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