126 citations · 213 across the 17 of their papers we have counts for
17 papers
Gaudin Algebras, RSK and Calogero-Moser Cells in Type A
Adrien Brochier, Iain Gordon, Noah White
We study the spectrum of a family of algebras, the inhomogeneous Gaudin algebras, acting on the -fold tensor representation of the Lie…
On category O for cyclotomic rational Cherednik algebras
Iain Gordon, Ivan Losev
We study equivalences for category O_p of the rational Cherednik algebras H_p of type G_l(n) = μ_l^n\rtimes S_n: a highest weight equivalence between O_p and O_{σ(p)} for σ\in S_l…
Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras
Maria Chlouveraki, Iain Gordon, Stephen Griffeth
In this note we are interested in labelling the irreducible representations of non-semisimple specialisations of Hecke algebras of complex reflection groups. We will use category O…
Catalan numbers for complex reflection groups
Iain Gordon, Stephen Griffeth
We construct (q,t)-Catalan polynomials and q-Fuss-Catalan polynomials for any irreducible complex reflection group W. The two main ingredients in this construction are Rouquier's f…
Symplectic reflection algebras
Iain Gordon
We survey recent results on the representation theory of symplectic reflection algebras, focusing particularly on connections with symplectic quotient singularities and their resol…
The real loci of Calogero-Moser spaces, representations of rational Cherednik algebras and the Shapiro conjecture
Iain Gordon, Emil Horozov, Milen Yakimov
We prove a criterion for the reality of irreducible representations of the rational Cherednik algebras H_{0,1}(S_n). This is shown to imply a criterion for the real loci of the Cal…