One-parameter contractions of Lie-Poisson brackets
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Publication:2441485
DOI10.4171/JEMS/436zbMath1365.17012arXiv1202.3009MaRDI QIDQ2441485
Publication date: 24 March 2014
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.3009
Related Items (17)
Jordan-Kronecker invariants of finite-dimensional Lie algebras ⋮ Commuting involutions and degenerations of isotropy representations ⋮ Parabolic contractions of semisimple Lie algebras and their invariants ⋮ Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations ⋮ Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties ⋮ \(\mathbb{Z}_2\)-contractions of classical Lie algebras and symmetric polynomials ⋮ On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras ⋮ The hidden semi-invariants generators of an almost-Frobenius biparabolic ⋮ 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 ⋮ A remarkable contraction of semisimple Lie algebras ⋮ Semi-Direct Products Involving Sp2n or Spinn with Free Algebras of Symmetric Invariants ⋮ Degenerate group of type \(A\): representations and flag varieties ⋮ Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras ⋮ Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras ⋮ Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g) ⋮ A bi-Hamiltonian nature of the Gaudin algebras
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