Classical limits of quantum toroidal and affine Yangian algebras
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Publication:2627984
DOI10.1016/j.jpaa.2017.02.004zbMath1419.17024arXiv1605.01314OpenAlexW2591040867MaRDI QIDQ2627984
Publication date: 9 June 2017
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01314
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items (5)
Explicit examples of DIM constraints for network matrix models ⋮ The affine Yangian of \(\mathfrak{gl}_1\) revisited ⋮ Screening operators and parabolic inductions for affine \(\mathcal{W}\)-algebras ⋮ Homomorphisms between different quantum toroidal and affine Yangian algebras ⋮ A slow review of the AGT correspondence
Cites Work
- Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras
- The affine Yangian of \(\mathfrak{gl}_1\) revisited
- Representations of quantum toroidal \(\mathfrak{gl}_n\)
- Toroidal Lie algebras and vertex representations
- Double-loop algebras and the Fock space
- Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)
- Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\)
- Homomorphisms between different quantum toroidal and affine Yangian algebras
- Quantum tori and the structure of elliptic quasi-simple Lie algebras
- Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
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