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arXiv · 0807.4776

Center and representations of infinitesimal Hecke algebras of sl_2

Akaki Tikaradze·Apoorva Khare
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Abstract

In this paper, we compute the center of the infinitesimal Hecke algebras Hz associated to sl_2 ; then using nontriviality of the center, we study representations of these algebras in the framework of the BGG category O. We also discuss central elements in infinitesimal Hecke algebras over gl(n) and sp(2n) for all n. We end by proving an analogue of the theorem of Duflo for Hz.

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Akaki Tikaradze, Apoorva Khare. 2010-01-19. Center and representations of infinitesimal Hecke algebras of sl_2. https://doi.org/10.1080/00927870903448740

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