6 citations · 15 across the 7 of their papers we have counts for
8 papers
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…
Vertex algebras associated with hypertoric varieties
Toshiro Kuwabara
We construct a family of vertex algebras associated with a family of symplectic singularity/resolution, called hypertoric varieties. While the hypertoric varieties are constructed…
BRST cohomologies for symplectic reflection algebras and quantizations of hypertoric varieties
Toshiro Kuwabara
We study algebras constructed by quantum Hamiltonian reduction associated with symplectic quotients of symplectic vector spaces, including deformed preprojective algebras, symplect…
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…