A binary invariant of matrix mutation

2023/11/06 by Casals, Roger
#13F60 #15A15 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2311.03601

Abstract

We construct a binary mutation invariant for skew-symmetric integer matrices. The invariant is not an integer congruence invariant for matrices of odd size: we provide examples of congruent such matrices with different values for the invariant.

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