A remarkable contraction of semisimple Lie algebras

DOI10.5802/aif.2742zbMath1266.13003arXiv1107.0702OpenAlexW2963723745MaRDI QIDQ1948149

Dmitri I. Panyushev, Oksana S. Yakimova

Publication date: 2 May 2013

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

Full work available at URL: https://arxiv.org/abs/1107.0702

zbMATH Keywords

invariant algebrasadjoint representationcoadjoint representationInonu-Wigner contraction

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (9)

Parabolic contractions of semisimple Lie algebras and their invariants ⋮ 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 ⋮ On the automorphisms of the Drinfel'd double of a Borel Lie subalgebra ⋮ One-parameter contractions of Lie-Poisson brackets ⋮ Degenerate group of type \(A\): representations and flag varieties ⋮ Polynomiality for the Poisson centre of truncated maximal parabolic subalgebras ⋮ Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g)

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