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arxiv: 1305.6873 · v2 · pith:IEJPOFWVnew · submitted 2013-05-29 · 🧮 math.RT

Infinitesimal Cherednik algebras as W-algebras

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keywords algebrascherednikinfinitesimalw-algebrasarticleblockconsequenceelements
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In this article we establish an isomorphism between universal infinitesimal Cherednik algebras and W-algebras for Lie algebras of the same type and 1-block nilpotent elements. As a consequence we obtain some fundamental results about infinitesimal Cherednik algebras.

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