Some aspects of Leibniz algebra theory
One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is paid to the results reflecting the difference of the Leibniz algebras from the...
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| Дата: | 2017 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2017
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/473 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-473 |
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admjournalluguniveduua-article-4732017-10-11T02:01:31Z Some aspects of Leibniz algebra theory Kirichenko, Vladimir V. Kurdachenko, Leonid A. Pypka, Aleksandr A. Subbotin, Igor Ya. Leibniz algebra, cyclic Leibniz algebra, left (right) center, lower (upper) central series, finite dimensional Leibniz algebra, nilpotent Leibniz algebra, extraspecial Leibniz algebra, bilinear form, left (right) idealizer, Frattini subalgebra 17A32, 17A60 One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is paid to the results reflecting the difference of the Leibniz algebras from the Lie algebras. Lugansk National Taras Shevchenko University 2017-10-07 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/473 Algebra and Discrete Mathematics; Vol 24, No 1 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/473/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/473/205 Copyright (c) 2017 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2017-10-11T02:01:31Z |
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OJS |
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English |
| topic |
Leibniz algebra cyclic Leibniz algebra left (right) center lower (upper) central series finite dimensional Leibniz algebra nilpotent Leibniz algebra extraspecial Leibniz algebra bilinear form left (right) idealizer Frattini subalgebra 17A32 17A60 |
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Leibniz algebra cyclic Leibniz algebra left (right) center lower (upper) central series finite dimensional Leibniz algebra nilpotent Leibniz algebra extraspecial Leibniz algebra bilinear form left (right) idealizer Frattini subalgebra 17A32 17A60 Kirichenko, Vladimir V. Kurdachenko, Leonid A. Pypka, Aleksandr A. Subbotin, Igor Ya. Some aspects of Leibniz algebra theory |
| topic_facet |
Leibniz algebra cyclic Leibniz algebra left (right) center lower (upper) central series finite dimensional Leibniz algebra nilpotent Leibniz algebra extraspecial Leibniz algebra bilinear form left (right) idealizer Frattini subalgebra 17A32 17A60 |
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Article |
| author |
Kirichenko, Vladimir V. Kurdachenko, Leonid A. Pypka, Aleksandr A. Subbotin, Igor Ya. |
| author_facet |
Kirichenko, Vladimir V. Kurdachenko, Leonid A. Pypka, Aleksandr A. Subbotin, Igor Ya. |
| author_sort |
Kirichenko, Vladimir V. |
| title |
Some aspects of Leibniz algebra theory |
| title_short |
Some aspects of Leibniz algebra theory |
| title_full |
Some aspects of Leibniz algebra theory |
| title_fullStr |
Some aspects of Leibniz algebra theory |
| title_full_unstemmed |
Some aspects of Leibniz algebra theory |
| title_sort |
some aspects of leibniz algebra theory |
| description |
One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is paid to the results reflecting the difference of the Leibniz algebras from the Lie algebras. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2017 |
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https://admjournal.luguniv.edu.ua/index.php/adm/article/view/473 |
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2025-12-02T15:36:04Z |
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