The algebras of semi-invariants of quivers

DOI10.1007/BF01234798zbMath0986.16004OpenAlexW2037104239MaRDI QIDQ5927629

Jerzy Weyman, Andrzej Skowroński

Publication date: 25 February 2002

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234798

zbMATH Keywords

complete intersectionsaffine spacesalgebras of semi-invariantsCauchy formuladeterminantsEuclidean quiversLittlewood-Richardson rulesreflection functorsSchur modulesweight spaces

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Actions of groups on commutative rings; invariant theory (13A50) Representations of quivers and partially ordered sets (16G20) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (24)

Moduli spaces for representations of concealed-canonical algebras ⋮ An elementary discussion of the representation and geometric invariant theory of equioriented quivers of type D with an application to quiver bundles ⋮ A polynomiality property for Littlewood-Richardson coefficients ⋮ The Algebras of Semi-Invariants of Euclidean Quivers ⋮ Semi-invariants of symmetric quivers of finite type. ⋮ Frieze varieties: a characterization of the finite-tame-wild trichotomy for acyclic quivers ⋮ Generating invariant rings of quivers in arbitrary characteristic ⋮ Semi-invariants for concealed-canonical algebras. ⋮ The separating variety for matrix semi-invariants ⋮ Geometric characterizations of the representation type of hereditary algebras and of canonical algebras. ⋮ The zero set of semi-invariants for extended Dynkin quivers ⋮ Moduli spaces of modules of Schur-tame algebras. ⋮ Geometry and the zero sets of semi-invariants for homogeneous modules over canonical algebras. ⋮ On the zero set of semi-invariants for regular modules over tame canonical algebras. ⋮ INVARIANTS OF MIXED REPRESENTATIONS OF QUIVERS I ⋮ Isotropic Schur roots ⋮ Semi-invariants of symmetric quivers of tame type. ⋮ On the equations and classification of toric quiver varieties ⋮ Semi-invariants of quivers as determinants ⋮ Decomposing moduli of representations of finite-dimensional algebras ⋮ ON SINGULARITIES OF QUIVER MODULI ⋮ Orbit semigroups and the representation type of quivers. ⋮ QUIVERS, LONG EXACT SEQUENCES AND HORN TYPE INEQUALITIES II ⋮ On the invariant theory for acyclic gentle algebras

Cites Work

• Relative invariants of quivers of tame type
• Rational representations of algebraic groups: Tensor products and filtrations
• The case of the submaximal minors: A finishing touch
• Infinite root systems, representations of graphs and invariant theory
• The rational invariants of the tame quivers
• Young diagrams and determinantal varieties
• Schur functors and Schur complexes
• Infinite root systems, representations of graphs and invariant theory. II
• The normality of closures of conjugacy classes of matrices
• Invariants of several matrices
• Representations of K-species and bimodules
• Invariants of four subspaces
• Polynomial invariants of representations of quivers
• Relative invariants of the polynomial rings over the type \(D_ r\) quivers
• Projective invariants of four subspaces
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Semisimple Representations of Quivers
• The Brauer-Manin Obstruction and III[2]
• Matrix invariants and complete intersections
• Codimension 1 Orbits and Semi-Invariants for the Representations of an Oriented Graph of Type  n
• Semi-Invariants of Quivers
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The algebras of semi-invariants of quivers