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The rational Cherednik algebra $\HH$ is a certain algebra of differential-reflection operators attached to a complex reflection group $W$.
G. James and A. Kerber, The representation theory of the symmetric group , With a foreword by P. M. Cohn. With an introduction by Gilbert de B. Robinson. Encyclopedia of Mathematics and its Applications, 16. Addison-Wesley Publishing Co., Reading, Mass., 1981
1981
Earlier work this paper cites.
V. G. Drinfel ′
1986
Earlier work this paper cites.
I. Cherednik, Calculation of the monodromy of some W W -invariant local systems of type B , C B,C and D D . (Russian) Funktsional. Anal. i Prilozhen. 24 (1990), no. 1, 88–89; translation in Funct. Anal. Appl. 24 (1990), no. 1, 78–79
1990
Earlier work this paper cites.
S. Ariki and K. Koike, A Hecke algebra of ( Z / r Z ) ≀ S n (Z/rZ)\wr S_{n} and construction of its irreducible representations , Adv. Math. 106 (1994), no. 2, 216–243
1994
Earlier work this paper cites.
S. Ariki, Representation theory of a Hecke algebra of G ( r , p , n ) G(r,p,n) , J. Algebra 177 (1995), no. 1, 164–185
1995
Earlier work this paper cites.
E.M. Opdam, Harmonic analysis for certain representations of graded Hecke algebras , Acta Math., 175
1995
Earlier work this paper cites.
A. Okounkov and A. Vershik, A new approach to representation theory of symmetric groups . Selecta Math. (N.S.) 2 (1996), no. 4, 581–605
1996
Earlier work this paper cites.
F. Knop and S. Sahi, A recursion and a combinatorial formula for Jack polynomials , Invent. Math. 128
1997
Earlier work this paper cites.
P. Etingof and V. Ginzburg, Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism , Invent. Math. 147
2002
Earlier work this paper cites.
Y. Berest, P. Etingof, and V. Ginzburg, Finite-dimensional representations of rational Cherednik algebras , Int. Math. Res. Not. (2003), no. 19, 1053–1088
2003
Cited alongside, same era.
I. Cherednik, Double affine Hecke algebra and difference Fourier transforms , Invent. Math. 152 (2003), no. 2, 213–303
2003
Cited alongside, same era.
C. F. Dunkl and E. M. Opdam, Dunkl operators for complex reflection groups , Proc. London Math. Soc. (3) 86
2003
Cited alongside, same era.
V. Ginzburg, N. Guay, E. Opdam, and R. Rouquier, On the category 𝒪 \mathcal{O} for rational Cherednik algebras , Invent. Math. 154
2003
Cited alongside, same era.
I. Gordon, On the quotient ring by diagonal invariants , Invent. Math. 153
2003
Cited alongside, same era.
C.F. Dunkl, Singular polynomials and modules for the symmetric groups . Int. Math. Res. Not. 2005, no. 39, 2409–2436
2005
Later among the works it cites.
P. Etingof and S. Montarani, Finite dimensional representations of symplectic reflection algebras associated to wreath products , Represent. Theory 9 (2005), 457–467 (electronic)
2005
Later among the works it cites.
T. Chmutova, Representations of the rational Cherednik algebras of dihedral type . J. Algebra 297 (2006), no. 2, 542–565
2006
Later among the works it cites.
W.L. Gan, Reflection functors and symplectic reflection algebras for wreath products , Adv. Math. 205 (2006), no. 2, 599–630
2006
Later among the works it cites.
S. Griffeth, Rational Cherednik algebras and coinvariant rings , Ph.D. thesis, University of Wisconsin, Madison, Madison, WI 53704, aug 2006
2006
Later among the works it cites.
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A. Ram and J. Ramagge, Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory. A tribute to C. S. Seshadri (Chennai, 2002), 428–466, Trends Math., Birkhäuser, Basel, 2003
2003
Cited alongside, same era.
A. Ram and A.V. Shepler, Classification of graded Hecke algebras for complex reflection groups , Comment. Math. Helv. 78
2003
Cited alongside, same era.
C.F. Dunkl, Singular polynomials for the symmetric groups . Int. Math. Res. Not. 2004, no. 67, 3607–3635
2004
Cited alongside, same era.
C. Dezélée, Generalized graded Hecke algebra for complex reflection group of type G ( r , 1 , n ) {G}(r,1,n) , arXiv:math.RT/0605410v2
Cited in the paper.
I. Gordon, Quiver varieties, category O for rational Cherednik algebras, and Hecke algebras , arXiv:math/0703150
Cited in the paper.
S. Griffeth, Towards a combinatorial representation theory for the groups G ( r , p , n ) G(r,p,n) , arXiv:math/0612733
Cited in the paper.
S. Griffeth, The complex representations of G ( r , p , n ) G(r,p,n) , http://www.math.umn.edu/ griffeth/notes/WreathProducts.pdf
Cited in the paper.
S. Montarani, On some finite dimensional representations of symplectic reflection algebras associated to wreath products , Comm. Algebra 35 (2007), no. 5, 1449–1467
2007
Closest in time.
R. Vale, Rational Cherednik algebras and diagonal coinvariants of G ( m , p , n ) G(m,p,n) , J. Algebra 311 (2007), no. 1, 231–250
2007
Closest in time.
R. Rouquier, q q -Schur algebras and complex reflection groups , Mosc. Math. J. 8 (2008), no. 1, 119–158, 184
2008
Closest in time.