On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum

We introduce and study algebras of the Temperley-Lieb type associated with algebras generated by linearly connected generators with given spectrum. We study their representations and the sets of parameters for which representations of these algebras exist.

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Date:2004
Main Authors: Zavodovskii, M. V., Заводовский, М. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3783
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Zavodovskii, M. V.
Заводовский, М. В.,
Заводовский, М. В.,
author_facet Zavodovskii, M. V.
Заводовский, М. В.,
Заводовский, М. В.,
author_sort Zavodovskii, M. V.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-18T20:08:43Z
description We introduce and study algebras of the Temperley-Lieb type associated with algebras generated by linearly connected generators with given spectrum. We study their representations and the sets of parameters for which representations of these algebras exist.
first_indexed 2026-03-24T02:48:42Z
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spelling umjimathkievua-article-37832020-03-18T20:08:43Z On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum Об алгебрах типа Темперли - Либа, связанных с алгебрами, порожденными образующими с заданным спектром Zavodovskii, M. V. Заводовский, М. В., Заводовский, М. В., We introduce and study algebras of the Temperley-Lieb type associated with algebras generated by linearly connected generators with given spectrum. We study their representations and the sets of parameters for which representations of these algebras exist. Вводяться і вивчаються алгебри типу Темперлі - Ліба, пов'язані з алгебрами, що породжені лінійно зв'язаними твірними з заданим спектром. Вивчаються їхні зображення, а також множини параметрів, при яких існують зображення цих алгебр. Institute of Mathematics, NAS of Ukraine 2004-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3783 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 5 (2004); 634–641 Український математичний журнал; Том 56 № 5 (2004); 634–641 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3783/4287 https://umj.imath.kiev.ua/index.php/umj/article/view/3783/4288 Copyright (c) 2004 Zavodovskii M. V.
spellingShingle Zavodovskii, M. V.
Заводовский, М. В.,
Заводовский, М. В.,
On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum
title On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum
title_alt Об алгебрах типа Темперли - Либа, связанных с алгебрами, порожденными образующими с заданным спектром
title_full On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum
title_fullStr On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum
title_full_unstemmed On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum
title_short On algebras of the Temperley-Lieb type associated with algebras generated by generators with given spectrum
title_sort on algebras of the temperley-lieb type associated with algebras generated by generators with given spectrum
url https://umj.imath.kiev.ua/index.php/umj/article/view/3783
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