6 citations · 15 across the 7 of their papers we have counts for
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Strong generators of the subregular W-algebra and combinatorial description at critical level
Naoki Genra, Toshiro Kuwabara
We construct explicitly strong generators of the affine -algebra of subregular type . Moreover, we are able to describ…
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…
On Deformation Quantizations of Hypertoric varieties
Gwyn Bellamy, Toshiro Kuwabara
Based on a construction by Kashiwara and Rouquier, we present an analogue of the Beilinson- Bernstein localization theorem for hypertoric varieties. In this case, sheaves of differ…
Representation theory of the rational Cherednik algebras of type Z/lZ via microlocal analysis
Toshiro Kuwabara
Based on the methods developed in [Kashiwara-Rouquier], we consider microlocalization of the rational Cherednik algebra of type . Our goal is to construct the irreducible m…
Characteristic cycles of standard modules for the rational Cherednik algebra of type Z/lZ
Toshiro Kuwabara
We study the representation theory of the rational Cherednik algebra for the cyclic group and its connection…
Symmetric coinvariant algebras and local Weyl modules at a double point
Toshiro Kuwabara
The symmetric coinvariant algebra is the quotient algebra of the polynomial ring by the ideal generated by symmetric polynomials vanishing at the origin.…