On the zero set of semi-invariants for quivers
نویسندگان
چکیده
منابع مشابه
Semi-invariants of 2-representations of Quivers
In this work we obtain a version of the Procesi-Rasmyslov Theorem for the algebra of semi-invariants of representations of an arbitrary quiver with dimension vector (2, 2, . . . , 2).
متن کاملSemi-invariants of mixed representations of quivers
The notion of mixed representations of quivers can be derived from ordinary quiver representations by considering the dual action of groups on “vertex” vector spaces together with the 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 the special form an...
متن کاملSemi-invariants of ∗-representations of quivers
The notion of ∗-representations of quivers can be obtained from ordinary quiver representations by considering coaction of groups on “vertex” vector spaces together with action. A generating system for the algebra of semiinvariants of ∗-representations of a quiver is determined. This was done by reducing the problem to the case of bipartite quivers of the special form and by introducing a funct...
متن کاملSemi–invariants of Quivers for Arbitrary Dimension Vectors
The representations of dimension vector α of the quiver Q can be parametrised by a vector space R(Q,α) on which an algebraic group Gl(α) acts so that the set of orbits is bijective with the set of isomorphism classes of representations of the quiver. We describe the semi–invariant polynomial functions on this vector space in terms of the category of representations. More precisely, we associate...
متن کاملSemi-invariants of Quivers and Saturation for Littlewood-richardson Coefficients
Σ(Q,α) is defined in the space of all weights by one homogeneous linear equation and by a finite set of homogeneous linear inequalities. In particular the set Σ(Q,α) is saturated, i.e., if nσ ∈ Σ(Q,α), then also σ ∈ Σ(Q,α). These results, when applied to a special quiver Q = Tn,n,n and to a special dimension vector, show that the GLn-module Vλ appears in Vμ ⊗ Vν if and only if the partitions λ,...
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ژورنال
عنوان ژورنال: Annales Scientifiques de l’École Normale Supérieure
سال: 2003
ISSN: 0012-9593
DOI: 10.1016/j.ansens.2003.02.001