Explicit construction of companion bases

2013/12/02 by Mark James Parsons, Parsons, Mark James
Mathematics · #13F60 (Primary) 05E10 #17B22 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05E10 #msc:13F60 #msc:17B22

paper · pdf · doi:10.48550/arxiv.1312.0320

26 pages

arxiv created 2013/12/02 · arxiv updated 2013/12/03

Abstract

We present a simple procedure for explicitly constructing a companion basis for a quiver mutation equivalent to a simply-laced Dynkin quiver.

Related

• Companion bases for cluster-tilted algebras
• Mutations for quivers with potentials: Oberwolfach talk, April 2007
• Ar-Quiver Approach to Affine Canonical Basis Elements
• Quivers for silting mutation
• Derived equivalences from mutations of quivers with potential