7 citations · 8 across the 5 of their papers we have counts for
5 papers
On the Mackey formulas for cyclotomic Hecke algebras and categories O of rational Cherednik algebras
Toshiro Kuwabara, Hyohe Miyachi, Kentaro Wada
In this paper, we shall establish the Mackey formulas in the following two set ups: (i) on the tensor induction and restriction functors on the modules over cyclotomic Hecke algebr…
Parallelotope tilings and -decomposition numbers
Joseph Chuang, Hyohe Miyachi, Kai Meng Tan
We provide closed formulas for a large subset of the canonical basis vectors of the Fock space representation of . These formulas arise from paralle…
Decomposition matrices for -Harish-Chandra series: the exceptional rank two cases
Maria Chlouveraki, Hyohe Miyachi
We calculate all decomposition matrices of the cyclotomic Hecke algebras of the rank 2 exceptional complex reflection groups in characteristic 0. We prove the existence of canonica…
Constructible characters and canonical bases
Bernard Leclerc, Hyohe Miyachi
We give closed formulas for all vectors of the canonical basis of a level 2 irreducible integrable representation of . These formulas coincide at v=1 with Lusztig's…
Some closed formulas for canonical bases of Fock spaces
Bernard Leclerc, Hyohe Miyachi
We give some closed formulas for certain vectors of the canonical bases of the Fock space representation of U_v(sl^_n). As a result, a combinatorial description of certain paraboli…