Invariants of mixed representations of quivers II : defining relations and applications

2003/05/31 by Alexandr N. Zubkov, A. N. Zubkov, Zubkov, A. N.
Chemistry · Mathematics · #14R20 #15A72 #16G20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:14R20 #msc:15A72 #msc:16G20

paper · pdf · doi:10.48550/arxiv.math/0306005

27 pages

arxiv created 2003/05/31 · openalex publication_date 2003/05/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the previous article we introduced the new concept of mixed representations of quivers and described the generators of their algebras of invariants. In this article we describe the defining relations of these algebras. Some applications for the invariants of orthogonal or symplectic groups acting on several matrices are given.

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• Invariants of mixed representations of quivers I
• Identities for mixed representations of quiver are finitely based
• Semi-invariants of 2-representations of quivers
• Semi-invariants of Symmetric Quivers
• Super-representations of quivers and related polynomial semi-invariants