Minimal generating set for semi-invariants of quivers of dimension two

Details Minimal generating set for semi-invariants of quivers of dimension two Minimal generating set for semi-invariants of quivers of dimension two

2010-04-19

arxiv.org/abs/1004.3083v2

Linear Algebra Appl., 434 (2011), N8, 1920-1944

Mathematics

Representation Theory

30 pages; v2. Examples and applications are added. Some notations and definitions are changed

Scientific paper

A minimal (by inclusion) generating set for the algebra of semi-invariants of a quiver of dimension (2,...,2) is established over an infinite field of arbitrary characteristic. The mentioned generating set consists of the determinants of generic matrices and the traces of tree paths of pairwise different multidegrees, where in the case of characteristic different from two we take only admissible paths. As a consequence, we describe relations modulo decomposable semi-invariants.

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