INVARIANTS OF MIXED REPRESENTATIONS OF QUIVERS I

DOI10.1142/S0219498805001174zbMath1082.16022arXivmath/0305386MaRDI QIDQ3025346

Alexandr N. Zubkov

Publication date: 13 July 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305386

zbMATH Keywords

classical groupsgood filtrationspolynomial invariantsmixed representations of quivers

Mathematics Subject Classification ID

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 (15)

Classification of linear mappings between indefinite inner product spaces ⋮ Relations between \(O(n)\)-invariants of several matrices. ⋮ The Hall module of an exact category with duality. ⋮ Degenerate versions of Green's theorem for Hall modules ⋮ Free relations for matrix invariants in the modular case ⋮ Generalized quivers, orthogonal and symplectic representations, and Hitchin–Kobayashi correspondences ⋮ Minimal system of generators for O(4)-invariants of two skew-symmetric matrices ⋮ INVARIANTS OF MIXED REPRESENTATIONS OF QUIVERS II: DEFINING RELATIONS AND APPLICATIONS ⋮ A SLICE THEOREM FOR QUIVERS WITH AN INVOLUTION ⋮ Semi-invariants of symmetric quivers of tame type. ⋮ Orthogonal invariants of skew-symmetric matrices ⋮ On block partial linearizations of the Pfaffian ⋮ Invariants of quivers under the action of classical groups ⋮ Group actions on quiver varieties and applications ⋮ Indecomposable orthogonal invariants of several matrices over a field of positive characteristic

Cites Work

• Unnamed Item
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• Semisimple representations of quivers in characteristic \(p\).
• On relations on minors of generic symmetric matrices
• Rational representations of algebraic groups: Tensor products and filtrations
• Skew modules for reductive groups
• Infinite root systems, representations of graphs and invariant theory
• The rational invariants of the tame quivers
• A filtration for rational modules
• Schur functors and Schur complexes
• Relative invariants of the polynomial rings over type \(A_ r\), \(\widetilde A_ r\) quivers
• The normality of closures of conjugacy classes of matrices
• A characteristic free approach to invariant theory
• Invariants of four subspaces
• On tilting modules for algebraic groups
• Polynomial invariants of representations of quivers
• Relative invariants of the polynomial rings over the type \(D_ r\) quivers
• Algebraic homogeneous spaces and invariant theory
• Projective invariants of four subspaces
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Filtrations of $G$-modules
• Invariants of quivers and wreath products
• On the procedure of calculation of the invariants of an adjoint action of classical groups
• Endomorphisms of tensor products of exterior powers and procesi hypothesis
• Invariant functions on matrices
• The algebras of semi-invariants of quivers
• Semi-invariants of quivers as determinants

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