Tame quivers, semi-invariants, and complete intersections
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 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,...
متن کاملOn the Futaki Invariants of Complete Intersections
In 1983, Futaki [2] introduced his invariants which generalize the obstruction of Kazdan-Warner to prescribe Gauss curvature on S. The Futaki invariants are defined for any compact Kähler manifold with positive first Chern class that has nontrivial holomorphic vector fields. Their vanishing are necessary conditions to the existence of Kähler-Einstein metric on the underlying manifold. Let M be ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2004.04.002