2010•arXiv (Cornell University)Open access

Indecomposable invariants of quivers for dimension (2,...,2) and maximal paths, II

Artem Lopatin

Abstract

An upper bound on degrees of elements of a minimal generating system for invariants of quivers of dimension (2,...,2) is established over a field of arbitrary characteristic and its precision is estimated. The proof is based on the reduction to the problem of description of maximal paths satisfying certain condition.

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Key concepts: Indecomposable module, Dimension (graph theory), Mathematics, Reduction (mathematics), Field (mathematics), Pure mathematics, Upper and lower bounds, Combinatorics