Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)

We obtain a classification of the supports of irreducible \(A_{2}^{\left(2\right)}\)-modules. In particular, we get a classification of all non-dense irreducible \(A_{2}^{\left(2\right)}\)-modules with at least one finite-dimensional weight subspace.

Збережено в:
Бібліографічні деталі
Дата:2018
Автор: Bunke, Thomas
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/774
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-774
record_format ojs
spelling admjournalluguniveduua-article-7742018-04-04T08:38:30Z Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\) Bunke, Thomas affine Kac-Moody algebra, weight module, support, irreducible module 17B67; 17B65 We obtain a classification of the supports of irreducible \(A_{2}^{\left(2\right)}\)-modules. In particular, we get a classification of all non-dense irreducible \(A_{2}^{\left(2\right)}\)-modules with at least one finite-dimensional weight subspace. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/774 Algebra and Discrete Mathematics; Vol 8, No 2 (2009) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/774/304 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T08:38:30Z
collection OJS
language English
topic affine Kac-Moody algebra
weight module
support
irreducible module
17B67
17B65
spellingShingle affine Kac-Moody algebra
weight module
support
irreducible module
17B67
17B65
Bunke, Thomas
Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
topic_facet affine Kac-Moody algebra
weight module
support
irreducible module
17B67
17B65
format Article
author Bunke, Thomas
author_facet Bunke, Thomas
author_sort Bunke, Thomas
title Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
title_short Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
title_full Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
title_fullStr Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
title_full_unstemmed Classification of irreducible non-dense modules for \(A_{2}^{\left(2\right)}\)
title_sort classification of irreducible non-dense modules for \(a_{2}^{\left(2\right)}\)
description We obtain a classification of the supports of irreducible \(A_{2}^{\left(2\right)}\)-modules. In particular, we get a classification of all non-dense irreducible \(A_{2}^{\left(2\right)}\)-modules with at least one finite-dimensional weight subspace.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/774
work_keys_str_mv AT bunkethomas classificationofirreduciblenondensemodulesfora2left2right
first_indexed 2025-12-02T15:32:34Z
last_indexed 2025-12-02T15:32:34Z
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