STABILITY OF AFFINE G-VARIETIES AND IRREDUCIBILITY IN REDUCTIVE GROUPS

DOI10.1142/S0129167X12500826zbMath1258.14053arXiv1110.4236MaRDI QIDQ2909479

Ana Cristina Casimiro, Carlos A. A. Florentino

Publication date: 30 August 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4236

zbMATH Keywords

stabilityinvariant theoryReductive groups

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (4)

Generating series for the E‐polynomials of GL(n,C)$GL(n,{\mathbb {C}})$‐character varieties ⋮ On Hodge polynomials of singular character varieties ⋮ Topology of character varieties of abelian groups ⋮ Principal Schottky bundles over Riemann surfaces

Cites Work

• Flat G-bundles with canonical metrics
• Moduli for principal bundles over algebraic curves. I
• Higgs bundles and local systems
• Instability in invariant theory
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Moduli for decorated tuples of sheaves and representation spaces for quivers
• Moduli of representations of the fundamental group of a smooth projective variety. II
• Conjugacy classes of n-tuples in Lie algebras and algebraic groups
• Stable principal bundles on a compact Riemann surface
• Reductive subgroups of reductive groups in nonzero characteristic.
• A geometric approach to complete reducibility.
• REPRESENTATIONS OF SURFACE GROUPS IN THE PROJECTIVE GENERAL LINEAR GROUP
• Differential Analysis on Complex Manifolds
• Geometric Invariant Theory
• Rationality and Orbit Closures
• Linear algebraic groups.

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