B-Orbits of 2-Nilpotent Matrices and Generalizations

DOI10.1007/978-0-8176-8274-3_6zbMath1248.14054arXiv1004.1996OpenAlexW1504774211MaRDI QIDQ2914858

Markus Reineke, Magdalena Boos

Publication date: 21 September 2012

Published in: Highlights in Lie Algebraic Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1996

zbMATH Keywords

Auslander-Reiten quiversemiinvariantsBorel orbits in nilpotent matricesorbit closure relation

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Group actions on varieties or schemes (quotients) (14L30)

Related Items (11)

On the orbits of a Borel subgroup in abelian ideals ⋮ On riedtmann’s Lie algebra of the gentle one-cycle algebra Λ(n−1,1,1) ⋮ Finite parabolic conjugation on varieties of nilpotent matrices ⋮ Non-reductive conjugation on the nilpotent cone ⋮ Highest-weight vectors for the adjoint action of \(\mathrm{GL}_n\) on polynomials. II ⋮ Symmetric degenerations are not in general induced by type A degenerations ⋮ Parabolic orbits of $2$-nilpotent elements for classical groups ⋮ On triangular similarity of nilpotent triangular matrices ⋮ Singularities of closures of \(B\)-conjugacy classes of nilpotent elements of height 2 ⋮ Nilpotent orbits of height 2 and involutions in the affine Weyl group ⋮ Parametrization, structure and Bruhat order of certain spherical quotients

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