Casimir elements and Sugawara operators for Takiff algebras
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Publication:5148676
DOI10.1063/5.0029513zbMath1459.17027arXiv2004.02515OpenAlexW3120014684MaRDI QIDQ5148676
Publication date: 4 February 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.02515
Universal enveloping (super)algebras (17B35) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
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Cites Work
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- Segal-Sugawara vectors for the Lie algebra of type \(G_2\)
- Harish-Chandra homomorphism for generalized Takiff algebras
- Invariant polynomials on truncated multicurrent algebras
- The \(R\)-matrix presentation for the Yangian of a simple Lie algebra
- Takiff algebras with polynomial rings of symmetric invariants
- Center at the critical level for centralizers in type \(A\)
- The product of the generators of a finite group generated by reflections
- ELEMENTARY INVARIANTS FOR CENTRALIZERS OF NILPOTENT MATRICES
- Casimir operators for F4, E6, E7, and E8
- A criterion for completeness of Casimir operators
- AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
- Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras
- Sugawara Operators for Classical Lie Algebras
- Symmetrisation and the Feigin–Frenkel centre
- Rings of Invariant Polynomials for a Class of Lie Algebras
