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We study unitarity of lowest weight irreducible representations of rational Cherednik algebras.
R. Dipper and G. D. James, Representations of Hecke algebras of the general linear groups, Proc. London Math. Soc. 52 (1986), 20-52
1986
Earlier work this paper cites.
Dipper, Richard; James, Gordon Blocks and idempotents of Hecke algebras of general linear groups. Proc. London Math. Soc. (3) 54 (1987), no. 1, 57–82
1987
Earlier work this paper cites.
Opdam, E. M. Some applications of hypergeometric shift operators. Invent. Math. 98 (1989), no. 1, 1–18
1989
Earlier work this paper cites.
C. Dunkl, Integral kernels with reflection group invariance, Can.J.Math. 43 (1991), 1213-1227
1991
Earlier work this paper cites.
C.F. Dunkl, M.F.E. de Jeu and E.M. Opdam, Singular polynomials for finite reflection groups, Trans. Amer. Math. Soc. 346 (1994), 237-256
1994
Earlier work this paper cites.
P. Etingof, V. Ginzburg, Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism
2002
Cited alongside, same era.
Yu. Berest, P. Etingof, V. Ginzburg, Finite dimensional representations of rational Cherednik algebras, Int. Math. Res. Not. 19 (2003), 1053 V1088
2003
Cited alongside, same era.
V. Ginzburg, N. Guay, E. Opdam, R. Rouquier, On the category 𝒪 {\mathcal{O}} for rational Cherednik algebras. Invent. Math. 154 (2003), no. 3, 617–651
2003
Cited alongside, same era.
I. Cherednik, Double affine Hecke algebras. London Mathematical Society Lecture Note Series, 319. Cambridge University Press, Cambridge, 2005
2005
Cited alongside, same era.
C. Dunkl, Singular polynomials and modules for the symmetric groups, math/0501494, Int. Math. Res. Not. 2005, v.39, 2409-2436
2005
Later among the works it cites.
M. Kasatani, Subrepresentations in the polynomial representation of the double affine Hecke algebra of type G L n GL_{n} at t k + 1 q r − 1 = 1 t^{k+1}q^{r-1}=1 , Int. Math. Res. Notices, 2005, no. 28, 17171-1742, math.QA/0501272
2005
Later among the works it cites.
Chmutova, Tatyana, Representations of the rational Cherednik algebras of dihedral type. J. Algebra 297 (2006), no. 2, 542–565
2006
Later among the works it cites.
P. Etingof, Calogero-Moser Systems and Representation Theory, Zurich lectures in advanced mathematics European mathematical society, 2007, math/0606233
2007
Later among the works it cites.
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Cited in the paper.
D. Calaque, B. Enriquez, P. Etingof, Universal KZB equations I: the elliptic case
Cited in the paper.
I. Cherednik, Towards harmonic analysis for DAHA: integral formulas for canonical traces, talk, www-math.mit.edu/˜etingof/hadaha.pdf
Cited in the paper.
I. Cherednik, Non-semisimple Macdonald polynomials, arXiv:0709.1742
Cited in the paper.
N. Enomoto, Composition factors of polynomial representation of DAHA and crystallized decomposition numbers, math.RT/0604369
Cited in the paper.
B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Symmetric polynomials vanishing on the shifted diagonals and Macdonald polynomials, arXiv:math/0209042
Cited in the paper.
S. Griffeth, Towards a combinatorial representation theory for the rational Cherednik algebra of type G ( r , p , n ) G(r,p,n) . , to appear in Proceedings of the Edinburgh Mathematical Society. arXiv:math/0612733
Cited in the paper.