The zero set of semi-invariants for extended Dynkin quivers
نویسندگان
چکیده
منابع مشابه
Indecomposable Representations for Extended Dynkin Quivers
We describe a method for an explicit determination of indecomposable preprojective and preinjective representations for extended Dynkin quivers Γ over an arbitrary field K by vector spaces and matrices. This method uses tilting theory and the explicit knowledge of indecomposable modules over the corresponding canonical algebra of domestic type. Further, if K is algebraically closed we obtain al...
متن کاملSemi-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...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-08-04613-8