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math.RT2010★ 6 cited
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…
math.RT2010★ 2 cited
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…