Symmetrisation and the Feigin–Frenkel centre
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Publication:5079016
DOI10.1112/S0010437X22007485zbMath1500.16029arXiv1910.10204OpenAlexW2981480068MaRDI QIDQ5079016
Publication date: 25 May 2022
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.10204
Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Poisson algebras (17B63) Simple, semisimple, reductive (super)algebras (17B20) Universal enveloping algebras of Lie algebras (16S30)
Related Items (4)
Hypergeometric sheaves for classical groups via geometric Langlands ⋮ Center at the critical level for centralizers in type \(A\) ⋮ Casimir elements and Sugawara operators for Takiff algebras ⋮ A bi-Hamiltonian nature of the Gaudin algebras
Cites Work
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- Segal-Sugawara vectors for the Lie algebra of type \(G_2\)
- Opers with irregular singularity and spectra of the shift of argument subalgebra
- The argument shift method and the Gaudin model
- Quantization of the shift of argument subalgebras in type \(A\)
- The argument shift method and maximal commutative subalgebras of Poisson algebras
- Uniqueness of higher Gaudin Hamiltonians
- Über die Gelfand-Kirillov-Dimension. (On the Gelfand-Kirillov-dimension)
- Gaudin model, Bethe ansatz and critical level
- Bethe subalgebras in twisted Yangians
- Feigin-Frenkel center in types \(B\), \(C\) and \(D\)
- On Segal-Sugawara vectors and Casimir elements for classical Lie algebras
- Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases
- The quantum Gaudin system
- Gaudin models with irregular singularities
- On some commutative subalgebras of the universal enveloping algebra of the Lie algebra $ \mathfrak{gl}(n,\mathbb C)$
- ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
- Laplace operators of infinite-dimensional Lie algebras and theta functions
- On Higher-Order Sugawara Operators
- EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
- AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
- Sugawara Operators for Classical Lie Algebras
- A new formula for Pfaffian-type Segal-Sugawara vector
- Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
- Lie Group Representations on Polynomial Rings
- A Proof of the Gaudin Bethe Ansatz Conjecture
- Poisson-Commutative Subalgebras of 𝒮(𝔤) associated with Involutions
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