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Original Articles

Indecomposable Invariants of Quivers for Dimension (2,…,2) and Maximal Paths

Pages 3539-3555 | Received 11 Jun 2008, Published online: 24 Nov 2010
 

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.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENTS

This article was written during author's visit to Bielefeld University, sponsored by DAAD grant for young scientists (Forschungsstipendien für Doktoranden und Nachwuchswissenschaftler). The author is grateful for this support. The author would like to thank Claus Michael Ringel for hospitality and the anonymous referee for useful suggestions and comments. The article has also been partially supported by RFFI 08-01-00067.

Notes

Communicated by I. Shestakov.

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