Surprising properties of centralisers in classical Lie algebras

DOI10.5802/aif.2451zbMath1187.17008arXiv0803.0285OpenAlexW2963344098MaRDI QIDQ2390085

Oksana S. Yakimova

Publication date: 20 July 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0285

zbMATH Keywords

symmetric invariantscentralisersNilpotent orbits

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45)

Related Items (12)

Centers of centralizers of nilpotent elements in exceptional Lie superalgebras ⋮ A remark on Mishchenko-Fomenko algebras and regular sequences ⋮ Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties ⋮ Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras ⋮ Invariants of centralisers in positive characteristic ⋮ The symmetric invariants of centralizers and Slodowy grading ⋮ Center at the critical level for centralizers in type \(A\) ⋮ One-parameter contractions of Lie-Poisson brackets ⋮ Unipotent Overgroups in Simple Algebraic Groups ⋮ Centres of centralizers of unipotent elements in simple algebraic groups ⋮ Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras ⋮ Centers of centralizers of nilpotent elements in Lie superalgebras 𝔰𝔩(m|n) or 𝔬𝔰𝔭(m|2n)

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