Anti-commuting varieties

DOI10.1090/tran/8017zbMath1444.16015arXiv1805.00378OpenAlexW2979395343MaRDI QIDQ5217877

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Publication date: 26 February 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00378

zbMATH Keywords

irreducible componentsGIT quotientsvarieties of modules

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometric invariant theory (14L24) Classical groups (algebro-geometric aspects) (14L35) Representations of associative Artinian rings (16G10) Lie algebras of linear algebraic groups (17B45)

Related Items (4)

Varieties of modules over the quantum plane ⋮ Counting on the variety of modules over the quantum plane ⋮ Stability of the centers of group algebras of \(\mathrm{GL}_n(q)\) ⋮ Mutually annihilating matrices, and a Cohen-Lenstra series for the nodal singularity

Cites Work

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• Nilpotent commuting varieties of reductive Lie algebras
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• On dominance and varieties of commuting matrices
• On Azumaya algebras and finite dimensional representations of rings
• Quivers with loops and generalized crystals
• Pairs of Matrices With Property L. II
• Quivers, Perverse Sheaves, and Quantized Enveloping Algebras
• Geometric Invariant Theory
• Algorithms in real algebraic geometry
• The variety of pairs of commuting nilpotent matrices is irreducible

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