Semi-invariants of quivers for arbitrary dimension vectors

DOI10.1016/S0019-3577(01)80010-0zbMath1004.16012arXivmath/9907174MaRDI QIDQ5947111

Michel Van den Bergh, Aidan Schofield

Publication date: 5 February 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907174

zbMATH Keywords

invariant theory quiver representations rings of semi-invariants

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Vector and tensor algebra, theory of invariants (15A72) 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 (55)

Moduli spaces for representations of concealed-canonical algebras ⋮ Representations of quivers with free module of covariants. ⋮ Cluster algebras, invariant theory, and Kronecker coefficients. II. ⋮ Constructive non-commutative rank computation is in deterministic polynomial time ⋮ The effective cone of the moduli space of sheaves on the plane ⋮ Constructive Non-Commutative Rank Computation Is in Deterministic Polynomial Time. ⋮ SMOOTH CHARACTER VARIETIES FOR TORUS KNOT GROUPS ⋮ Moduli of equivariant sheaves and Kronecker–McKay modules ⋮ Ideals of cubic algebras and an invariant ring of the Weyl algebra. ⋮ Non-commutative resolutions of quotient singularities for reductive groups ⋮ Non-commutative Edmonds' problem and matrix semi-invariants ⋮ A functorial construction of moduli of sheaves ⋮ Tripartite-to-bipartite entanglement transformation by stochastic local operations and classical communication and the structure of matrix spaces ⋮ Generating invariant rings of quivers in arbitrary characteristic ⋮ Decompositions of Bernstein-Sato polynomials and slices ⋮ Constructing coherently G-invariant modules ⋮ Semi-invariants of 2-representations of quivers. ⋮ Tropical F$F$‐polynomials and general presentations ⋮ Minimal generating set for semi-invariants of quivers of dimension two ⋮ Interactions of computational complexity theory and mathematics ⋮ Generalized Littlewood-Richardson coefficients for branching rules of $\mathrm{GL}(n)$ and extremal weight crystals ⋮ Algorithms for orbit closure separation for invariants and semi-invariants of matrices ⋮ The zero set of semi-invariants for extended Dynkin quivers ⋮ The combinatorics of quiver representations. ⋮ Quiver representations and their applications ⋮ Cluster fans, stability conditions, and domains of semi-invariants ⋮ Non-reductive conjugation on the nilpotent cone ⋮ Super-representations of quivers and related polynomial semi-invariants ⋮ On a category related to the Kalman algebra of a linear control system ⋮ Quivers, long exact sequences and Horn type inequalities. ⋮ Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling ⋮ Degree bounds for semi-invariant rings of quivers ⋮ Polynomial degree bounds for matrix semi-invariants ⋮ Cluster algebras, invariant theory, and Kronecker coefficients. I ⋮ Cluster algebras and semi-invariant rings. II: Projections ⋮ The $b$-functions of semi-invariants of quivers ⋮ Isotropic Schur roots ⋮ Semi-invariants of symmetric quivers of tame type. ⋮ Effective divisors on the Hilbert scheme of points in the plane and interpolation for stable bundles ⋮ Unnamed Item ⋮ Decomposing moduli of representations of finite-dimensional algebras ⋮ Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients ⋮ Orbit semigroups and the representation type of quivers. ⋮ Invariants of quivers under the action of classical groups ⋮ Characteristic free description of semi-invariants of $2 \times 2$ matrices ⋮ Singular tuples of matrices is not a null cone (and the symmetries of algebraic varieties) ⋮ QUIVERS, LONG EXACT SEQUENCES AND HORN TYPE INEQUALITIES II ⋮ Operator scaling: theory and applications ⋮ Weyl's polarization theorem in positive characteristic ⋮ Edmonds' problem and the membership problem for orbit semigroups of quiver representations ⋮ Maximum Likelihood Estimation for Matrix Normal Models via Quiver Representations ⋮ Semi-stable subcategories for Euclidean quivers ⋮ On the Littlewood-Richardson polynomials ⋮ Scalar extensions of derived categories and non-Fourier-Mukai functors ⋮ Hilbert series and degree bounds for matrix (semi-)invariants

Cites Work

This page was built for publication: Semi-invariants of quivers for arbitrary dimension vectors