Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras

We define and investigate Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras.

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Datum:2018
1. Verfasser: Kosakowska, Justyna
Format: Artikel
Sprache:Englisch
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/827
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Kosakowska, Justyna
author_facet Kosakowska, Justyna
author_sort Kosakowska, Justyna
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datestamp_date 2018-03-22T09:57:42Z
description We define and investigate Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras.
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institution Algebra and Discrete Mathematics
language English
last_indexed 2025-12-02T15:32:52Z
publishDate 2018
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-8272018-03-22T09:57:42Z Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras Kosakowska, Justyna quadratic form, Lie algebra, Ringel-Hall algebra 17B20 We define and investigate Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras. Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/827 Algebra and Discrete Mathematics; Vol 7, No 4 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/827/357 Copyright (c) 2018 Algebra and Discrete Mathematics
spellingShingle quadratic form
Lie algebra
Ringel-Hall algebra
17B20
Kosakowska, Justyna
Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
title Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
title_full Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
title_fullStr Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
title_full_unstemmed Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
title_short Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras
title_sort lie algebras associated with quadratic forms and their applications to ringel-hall algebras
topic quadratic form
Lie algebra
Ringel-Hall algebra
17B20
topic_facet quadratic form
Lie algebra
Ringel-Hall algebra
17B20
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/827
work_keys_str_mv AT kosakowskajustyna liealgebrasassociatedwithquadraticformsandtheirapplicationstoringelhallalgebras