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Semi‐Invariants of Quivers
Author(s) -
Schofield Aidan
Publication year - 1991
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-43.3.385
Subject(s) - quiver , dimension (graph theory) , mathematics , pure mathematics , representation (politics) , orbit (dynamics) , algebraically closed field , vector space , representation theory , space (punctuation) , algebra over a field , computer science , engineering , politics , political science , law , aerospace engineering , operating system
Let Q be a quiver without oriented cycles and let α be a dimension vector such that G l (α) has an open orbit on the representation space R (α). We find representations { S i } and corresponding polynomials{ P s i , α}on R (α), which generate the semi‐invariants and are algebraically independent.