Catalan numbers for complex reflection groups

P. Orlik and L. Solomon, Unitary reflection groups and cohomology , Invent. Math. 59

1980

Earlier work this paper cites.

E.M. Opdam, A remark on the irreducible characters and fake degrees of finite real reflection groups Invent. Math. 120

1995

Earlier work this paper cites.

M. Broue, G. Malle, and R. Rouquier, Complex reflection groups, braid groups, Hecke algebras , J. Reine Angew. Math. 500

1998

Earlier work this paper cites.

G. Malle, On the rationality and fake degrees of characters of cyclotomic algebras , J. Math. Sci. Univ. Tokyo 6

1999

Earlier work this paper cites.

Y. Berest, P. Etingof, and V. Ginzburg, Finite dimensional representations of rational Cherednik algebras , Int. Math. Res. Not. 19

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

Cited alongside, same era.

I. Gordon, On the quotient ring by diagonal invariants , Invent. Math. 153

2003

Cited alongside, same era.

D. Bessis and V. Reiner, Cyclic sieving of noncrossing partitions for complex reflection groups , to appear in Annals of Combinatorics, arXiv:math/0701792

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 Proc. Edinburgh Math. Soc., arxiv:0612733

Cited in the paper.

G. Malle and J. Michel, Constructing representations of Hecke algebras for complex reflection groups , arXiv:0909.4040

Original

Cited in the paper.

E.M. Opdam, Complex Reflection Groups and Fake Degrees , arXiv:9808026

Cited in the paper.

C. Stump, q , t q,t -Fuss-Catalan numbers for finite reflection groups , to appear in Journal of Algebraic Combinatorics, arXiv:0901.1574

Original

Cited in the paper.

I. Gordon and J.T. Stafford, Rational Cherednik algebras and Hilbert schemes. II. Representations and sheaves Duke Math. J. 132

2006

Later among the works it cites.

R. Vale, Rational Cherednik algebras and diagonal coinvariants of G ⁡ ( m , p , n ) G(m,p,n) , J. Algebra 311

2007

Later among the works it cites.

R. Rouquier, q q -Schur algebras and complex reflection groups , Mosc. Math. J. 8

2008

Later among the works it cites.