Affine Yangians and deformed double current algebras in type A
By N. Guay. 2007
86 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5e18a7c7dbfa57a062e1ea5a264a3a1a94343f61
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In Algebra and Number Theory
- Sachin Gautam
- D. Hernandez
- I. Gordon
- Valerio Toledano Laredo
- V. Toledano-Laredo
- H. Nakajima
- N. Nekrasov
- Vasily Pestun
In Geometry and Topology
- Sachin Gautam
- D. Hernandez
- I. Gordon
- Valerio Toledano Laredo
- V. Toledano-Laredo
- Stephen Griffeth
- H. Nakajima
- V. Ginzburg
In Statistical and Nonlinear Physics
- Sachin Gautam
- D. Hernandez
- I. Gordon
- Valerio Toledano Laredo
- H. Nakajima
- V. Toledano-Laredo
- Fan Qin
- Vasily Pestun
Citations in the corpus
- Quantum toroidal algebras and their representations (2008, result): “Recently analogous results were studied in [G1, G2 ] in the trigonometric and rational cases, where ane Yangians and new algebras (deformed double current algebras) are used in the duality and have the PBW-property.”
- Yangians and quantum loop algebras (2010, methodology): “We note that, for the Yangians associated with affine Kac–Moody algebras, the PBW theorem was proved by Guay in type An , for n ≥ 4 [16] and, more recently, by Guay–Nakajima for all simply laced cases [18].”
- Symplectic reflection algebras (2007, background): “These include positive characteristic, [16], [102], [24]; continuous Hecke algebras, [49], [115]; generalisations of Schur– Weyl duality, [84], [85], [86]; connections with affine Lie algebras, [2]; Cherednik algebras for varieties with group actions, [46]; relations with Hopf algebras, [4]; real al”