On maximal primitive quotients of infinitesimal Cherednik algebras of gl_n
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algebrascherednikinfinitesimalanaloguesazumayacentercharacteristiccoincide
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We prove analogues of some of Kostant's theorems for infinitesimal Cherednik algebras of gl_n. As a consequence, it follows that in positive characteristic the Azumaya and smooth loci of the center of these algebras coincide.
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