Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Mutation classes of skew-symmetrizable $3\times 3$ matrices
HTML articles powered by AMS MathViewer

by Ahmet I. Seven PDF
Proc. Amer. Math. Soc. 141 (2013), 1493-1504 Request permission

Abstract:

Mutation of skew-symmetrizable matrices is a fundamental operation that first arose in Fomin-Zelevinsky’s theory of cluster algebras; it also appears naturally in many different areas of mathematics. In this paper, we study mutation classes of skew-symmetrizable $3\times 3$ matrices and associated graphs. We determine representatives for these classes using a natural minimality condition, generalizing and strengthening results of Beineke-Brustle-Hille and Felikson-Shapiro-Tumarkin. Furthermore, we obtain a new numerical invariant for the mutation operation on skew-symmetrizable matrices of arbitrary size.
References
Similar Articles
Additional Information
  • Ahmet I. Seven
  • Affiliation: Department of Mathematics, Middle East Technical University, 06800, Ankara, Turkey
  • MR Author ID: 764933
  • Email: aseven@metu.edu.tr
  • Received by editor(s): March 3, 2011
  • Received by editor(s) in revised form: August 17, 2011, and August 26, 2011
  • Published electronically: September 27, 2012
  • Additional Notes: The author’s research was supported in part by the Scientific and Technological Research Council of Turkey (TUBITAK), grant #110T207
  • Communicated by: Harm Derksen
  • © Copyright 2012 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 1493-1504
  • MSC (2010): Primary 05E15; Secondary 15B36, 05C22, 13F60
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11477-7
  • MathSciNet review: 3020837