On some commutative subalgebras of the universal enveloping algebra of the Lie algebra $ \mathfrak{gl}(n,\mathbb C)$
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Publication:2710728
DOI10.1070/SM2000v191n09ABEH000509zbMath0985.17012OpenAlexW40323928WikidataQ115317540 ScholiaQ115317540MaRDI QIDQ2710728
Publication date: 21 May 2002
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2000v191n09abeh000509
Universal enveloping (super)algebras (17B35) Poisson algebras (17B63) Lie algebras of linear algebraic groups (17B45) Universal enveloping algebras of Lie algebras (16S30)
Related Items (10)
Identities in group rings, enveloping algebras and Poisson algebras ⋮ Symmetrisation and the Feigin–Frenkel centre ⋮ Gaudin models with irregular singularities ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ The argument shift method and the Gaudin model ⋮ Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras ⋮ Quantization of the shift of argument subalgebras in type \(A\) ⋮ Shift of argument algebras and de Concini–Procesi spaces ⋮ The argument shift method in universal enveloping algebra \(U \mathfrak{gl}_d\) ⋮ Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
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