Invariants of quivers under the action of classical groups

DOI10.1016/j.jalgebra.2008.11.018zbMath1166.13010arXivmath/0608750OpenAlexW2087731842MaRDI QIDQ1014594

Artem A. Lopatin

Publication date: 29 April 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608750

zbMATH Keywords

invariantsPfaffianrepresentations of quiversgood filtrationclassical linear groups

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50)

Related Items (14)

Semi-invariants of symmetric quivers of finite type. ⋮ Relations between \(O(n)\)-invariants of several matrices. ⋮ A higher-dimensional Chevalley restriction theorem for orthogonal groups ⋮ Minimal generating and separating sets for O(3)-invariants of several matrices ⋮ Minimal generating set for semi-invariants of quivers of dimension two ⋮ On the nilpotency degree of the algebra with identity \(x^n=0\). ⋮ Symmetric quivers, invariant theory, and saturation theorems for the classical groups. ⋮ Free relations for matrix invariants in the modular case ⋮ Minimal system of generators for O(4)-invariants of two skew-symmetric matrices ⋮ Semi-invariants of symmetric quivers of tame type. ⋮ Orthogonal invariants of skew-symmetric matrices ⋮ On block partial linearizations of the Pfaffian ⋮ On minimal generating systems for matrixO(3)-invariants ⋮ Indecomposable orthogonal invariants of several matrices over a field of positive characteristic

Cites Work

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• On block partial linearizations of the Pfaffian
• Rational representations of algebraic groups: Tensor products and filtrations
• The normality of closures of conjugacy classes of matrices
• Invariants of several matrices
• The invariant theory of \(n\times n\) matrices
• On tilting modules for algebraic groups
• Polynomial invariants of representations of quivers
• Algebraic homogeneous spaces and invariant theory
• Mod 2 indecomposable orthogonal invariants
• On the Littlewood-Richardson polynomials
• Invariant theory of special orthogonal groups
• Algebraic invariants for a set of matrices
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Semi-invariants of mixed representations of quivers.
• INVARIANTS OF MIXED REPRESENTATIONS OF QUIVERS I
• INVARIANTS OF MIXED REPRESENTATIONS OF QUIVERS II: DEFINING RELATIONS AND APPLICATIONS
• Semisimple Representations of Quivers
• Filtrations of $G$-modules
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• Invariants of quivers and wreath products
• Generalized quivers associated to reductive groups
• Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients
• SIGNED QUIVERS, SYMMETRIC QUIVERS AND ROOT SYSTEMS
• Semi-invariants of quivers as determinants
• Semi-invariants of quivers for arbitrary dimension vectors

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