Authors: | Došen, Kosta Kovijanić, Žana Petrić, Zoran |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | A new proof of the faithfulness of Brauer's representation of Temperley-Lieb algebras | Journal: | International Journal of Algebra and Computation | Volume: | 16 | Issue: | 5 | First page: | 959 | Last page: | 968 | Issue Date: | 1-Jan-2006 | Rank: | M23 | ISSN: | 0218-1967 | DOI: | 10.1142/S0218196706003281 | Abstract: | The faithfulness of the orthogonal group case of Brauer's representation of the Brauer centralizer algebras restricted to their Temperley-Lieb subalgebras, which was established by Vaughan Jones, is here proved in a new, elementary and self-contained, manner. |
Keywords: | Linear independence | Matrices | Representation | Temperley-Lieb algebras | Publisher: | World Scientific |
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