On maximal primitive quotients of infinitesimal Cherednik algebras of gl_n

Mathematics – Quantum Algebra

Scientific paper

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The final version, to appear in Journal of Algebra

Scientific paper

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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