Tikaradze, Akaki ; Khare, Apoorva (2010) Center and Representations of Infinitesimal Hecke Algebras of sl(2) Communications in Algebra, 38 (2). pp. 405-439. ISSN 0092-7872
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Official URL: http://doi.org/10.1080/00927870903448740
Related URL: http://dx.doi.org/10.1080/00927870903448740
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. Comment: Final form, to appear in "Communications in Algebra"; 35 pages, laTeX
| Item Type: | Article |
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| Source: | Copyright of this article belongs to ResearchGate GmbH. |
| ID Code: | 127284 |
| Deposited On: | 17 Oct 2022 05:14 |
| Last Modified: | 17 Oct 2022 05:14 |
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