Semi-invariants of mixed representations of quivers

A. A. Lopatin, A. N. Zubkov

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


A notion of a mixed representation of a quiver can be derived from ordinary quiver representation by considering the dual action of groups on "vertex" vector spaces together with their usual action. A generating system for the algebra of semi-invariants of mixed representations of a quiver is determined. This is done by reducing the problem to the case of bipartite quivers of a special form and using a function DP on three matrices, which is a mixture of the determinant and two pfaffians.

Original languageEnglish
Pages (from-to)341-369
Number of pages29
JournalTransformation Groups
Issue number2
Publication statusPublished - Jun 2007
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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