[1] S. Ariki: Representations of quantum algebras and combinatorics of Young tableaux, University Lecture Series 26, American Mathematical Society, Providence, RI, 2002, Translated from the 2000 Japanese edi- tion and revised by the author.
[2] S. Ariki and K. Koike: A Hecke algebra of (Z/rZ) Sn and construction of its irreducible representations, Adv. Math. 106 (1994), 216–243.
[3] R. Bezrukavnikov and P. Etingof: Parabolic induction and restriction functors for rational Cherednik al- gebras, Selecta Math. (N.S.) 14 (2009), 397–425.
[4] C. Bonnafe´: Mackey formula in type A, Proc. London Math. Soc. (3) 80 (2000), 545–574.
[5] K. Bremke and G. Malle: Reduced words and a length function for G(e, 1, n), Indag. Math. (N.S.) 8 (1997), 453–469.
[6] M. Broue´, G. Malle and R. Rouquier: Complex reflection groups, braid groups, Hecke algebras, J. Reine Angew. Math. 500 (1998), 127–190.
[7] C.W. Curtis and I. Reiner: Methods of representation theory. Vol. I, Wiley Classics Library, With appli- cations to finite groups and orders, Reprint of the 1981 original, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1990.
[8] B. Deng, J. Du, B. Parshall and J. Wang: Finite dimensional algebras and quantum groups, Mathematical Surveys and Monographs 150, American Mathematical Society, Providence, RI, 2008.
[9] R. Dipper and P. Fleischmann: Modular Harish-Chandra theory. I, Math. Z. 211 (1992), 49–71.
[10] R. Dipper and P. Fleischmann: Modular Harish-Chandra theory. II, Arch. Math. (Basel) 62 (1994), 26–32.
[11] V. Ginzburg, N. Guay, E. Opdam and R. Rouquier: On the category O for rational Cherednik algebras, Invent. Math. 154 (2003), 617–651.
[12] R.B. Howlett and G.I. Lehrer: Induced cuspidal representations and generalised Hecke rings, Invent. Math.58 (1980), 37–64.
[13] R.B. Howlett and G.I. Lehrer: Representations of generic algebras and finite groups of Lie type, Trans. Amer. Math. Soc. 280 (1983), 753–779.
[14] J.E. Humphreys: Reflection groups and Coxeter groups, Cambridge Studies in Advanced Mathematics, 29, Cambridge University Press, Cambridge, 1990.
[15] L.K. Jones: Centers of generic Hecke algebras, Trans. Amer. Math. Soc. 317 (1990), 361–392.134 T. Kuwabara, H. Miyachi and K. Wada
[16] I. Losev and S. Shelley-Abrahamson: On refined filtration by supports for rational cherednik categories U, Selecta Math. (N.S.) 24 (2018), 1729–1804.
[17] G.W. Mackey: On induced representations of groups, Amer. J. Math. 73 (1951), 576–592.
[18] A. Mathas: Iwahori-Hecke algebras and Schur algebras of the symmetric group, University Lecture Series,15, American Mathematical Society, Providence, RI, 1999.
[19] H. Matsumura: Commutative ring theory, Cambridge Studies in Advanced Mathematics 8, Cambridge University Press, Cambridge, 1986, Translated from the Japanese by M. Reid.
[20] K. Rampetas and T. Shoji: Length functions and Demazure operators for G(e, 1, n). I, II, Indag. Math. (N.S.) 9 (1998), 563–580, 581–594.
[21] P. Shan and E. Vasserot: Heisenberg algebras and rational double aflne Hecke algebras, J. Amer. Math. Soc. 25 (2012), 959–1031.
[22] P. Shan: Crystals of Fock spaces and cyclotomic rational double aflne Hecke algebras, Ann. Sci. E´ c. Norm.Supe´r. (4) 44 (2011), 147–182.
[23] M. Vazirani: Filtrations on the Mackey decomposition for cyclotomic Hecke algebras, J. Algebra 252(2002), 205–227.