Parabolic orbits of $2$-nilpotent elements for classical groups

zbMath1451.14174arXiv1802.06425MaRDI QIDQ5114433

Magdalena Boos, Francesco Esposito, Giovanni Cerulli Irelli

Publication date: 23 June 2020

Full work available at URL: https://arxiv.org/abs/1802.06425

zbMATH Keywords

Auslander-Reiten quiverB-orbitscombinatorial classificationalgebra with self-dualitysymmetric quiver

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Representations of quivers and partially ordered sets (16G20) Lie algebras of linear algebraic groups (17B45) Group actions on affine varieties (14R20)

Related Items

Interactions between algebraic geometry and noncommutative algebra. Abstracts from the workshop held May 1--7, 2022, Symmetric degenerations are not in general induced by type A degenerations, On triangular similarity of nilpotent triangular matrices, Nilpotent orbits of height 2 and involutions in the affine Weyl group, Parametrization, structure and Bruhat order of certain spherical quotients

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite parabolic conjugation on varieties of nilpotent matrices
• A classification of parabolic subgroups of classical groups with a finite number of orbits on the unipotent radical
• Some amazing properties of spherical nilpotent orbits
• Symplectic multiple flag varieties of finite type
• B-orbits of square zero in nilradical of the symplectic algebra
• \(B\)-orbits in solutions to the equation \(X^2=0\) in triangular matrices
• B-Orbits of 2-Nilpotent Matrices and Generalizations
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Generalized quivers associated to reductive groups