Abstract

ABSTRACTGiven a quiver Q, let MQ(α,q) be the number of isomorphism classes of representations of Q over the finite field 𝔽q with dimension vector α, and let be the canonical decomposition of α. We establish a relationship between polynomials MQ(α,q) and when Q is a tame quiver. This is based on some methods in the representation theory of quivers and algebraic combinatorics.

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