Parabolic contractions of semisimple Lie algebras and their invariants

DOI10.1007/s00029-013-0122-xzbMath1275.13004arXiv1301.0249OpenAlexW2141195737MaRDI QIDQ361796

Dmitri I. Panyushev, Oksana S. Yakimova

Publication date: 19 August 2013

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0249

zbMATH Keywords

contractioncoadjoint representationalgebra of invariantsRichardson orbit

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Actions of groups on commutative rings; invariant theory (13A50) Lie algebras of linear algebraic groups (17B45) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (10)

Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations ⋮ Takiff algebras with polynomial rings of symmetric invariants ⋮ PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of \({\mathcal{S}}(\mathfrak{g})\) ⋮ On the automorphisms of the Drinfel'd double of a Borel Lie subalgebra ⋮ The symmetric invariants of centralizers and Slodowy grading ⋮ Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras ⋮ Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras ⋮ Two supercharacter theories for the parabolic subgroups in orthogonal and symplectic groups ⋮ Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g)

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