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We give an alternate presentation of the cyclotomic rational Cherednik algebra, which has the useful feature of compatibility with the Opdam-Dunkl subalgebra.
by same author, Gelfand-Tsetlin modules in the Coulomb context , arXiv: 1904.05415
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Victor Ginzburg, Nicolas Guay, Eric Opdam, and Raphaël Rouquier, On the category 𝒪 \mathcal{O} for rational Cherednik algebras , Invent. Math. 154
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Iain G. Gordon and Ivan Losev, On category 𝒪 \mathscr{O} for cyclotomic rational Cherednik algebras , J. Eur. Math. Soc. (JEMS) 16
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by same author, Proof of Varagnolo-Vasserot conjecture on cyclotomic categories 𝒪 \mathcal{O} , Selecta Math. (N.S.) 22
2016
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Hiraku Nakajima, Towards a mathematical definition of Coulomb branches of 3-dimensional 𝒩 = 4 \mathcal{N}=4 gauge theories, I , Adv. Theor. Math. Phys. 20
2016
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Raphaël Rouquier, Peng Shan, Michela Varagnolo, and Eric Vasserot, Categorifications and cyclotomic rational double affine Hecke algebras , Invent. Math. 204
2016
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Cited alongside, same era.
Charles Dunkl and Stephen Griffeth, Generalized Jack polynomials and the representation theory of rational Cherednik algebras , Selecta Math. (N.S.) 16
2010
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Aaron D. Lauda, An introduction to diagrammatic algebra and categorified quantum 𝔰 𝔩 2 \mathfrak{sl}_{2} , Bull. Inst. Math. Acad. Sin. (N.S.) 7
2012
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by same author, Isomorphisms of quantizations via quantization of resolutions , Adv. in Math. (2012), no. 231, 1216–1270
2012
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O.V. Ogievetsky and L. Poulain d’Andecy, An inductive approach to representations of complex reflection groups G ( m , 1 , n ) G(m,1,n) , Theoretical and Mathematical Physics 174
2013
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Cited in the paper.
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Stephen Griffeth, Unitary representations of rational Cherednik algebras, II , arXiv: 1106.5094
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by same author, Knot invariants and higher representation theory , Mem. Amer. Math. Soc. 250
2017
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by same author, Rouquier’s conjecture and diagrammatic algebra , Forum Math. Sigma 5
2017
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Ryosuke Kodera and Hiraku Nakajima, Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras , String-Math 2016, Proc. Sympos. Pure Math., vol. 98, Amer. Math. Soc., Providence, RI, 2018, pp. 49–78. MR 3821749
2018
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