Differential structures in lie superalgebras
We develop a formal construction of an U-system as a fundamental concept of noncommutative differential geometry. By using the notion of “conditional differential” (an analog of the Hamiltonian mapping), we construct a series of brackets that generalize the classical Poisson brackets.
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| Datum: | 1996 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5308 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511525249220608 |
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| author | Daletskii, Yu. L. Kushnerevich, V. A. Далецький, Ю. Л. Кушниревич, В. А, Далецький, Ю. Л. Кушниревич, В. А, |
| author_facet | Daletskii, Yu. L. Kushnerevich, V. A. Далецький, Ю. Л. Кушниревич, В. А, Далецький, Ю. Л. Кушниревич, В. А, |
| author_sort | Daletskii, Yu. L. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:10Z |
| description | We develop a formal construction of an U-system as a fundamental concept of noncommutative differential geometry. By using the notion of “conditional differential” (an analog of the Hamiltonian mapping), we construct a series of brackets that generalize the classical Poisson brackets. |
| first_indexed | 2026-03-24T03:14:16Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5308 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:14:16Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ed/d3512aeeb9c82fea262a8be949496fed.pdf |
| spelling | umjimathkievua-article-53082020-03-18T21:30:10Z Differential structures in lie superalgebras Дифференциальные структуры в супералгебре Ли Daletskii, Yu. L. Kushnerevich, V. A. Далецький, Ю. Л. Кушниревич, В. А, Далецький, Ю. Л. Кушниревич, В. А, We develop a formal construction of an U-system as a fundamental concept of noncommutative differential geometry. By using the notion of “conditional differential” (an analog of the Hamiltonian mapping), we construct a series of brackets that generalize the classical Poisson brackets. Розвивається формальна конструкція $(U, D)$-системи як основа апарата некомутативної диференціальної геометрії. За допомогою "умовного диференціала" (аналога гамільтонова відображення) побудовано серію дужок, що узагальнюють класичні дужки Пуассона. Institute of Mathematics, NAS of Ukraine 1996-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5308 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 4 (1996); 435-442 Український математичний журнал; Том 48 № 4 (1996); 435-442 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5308/7308 https://umj.imath.kiev.ua/index.php/umj/article/view/5308/7309 Copyright (c) 1996 Daletskii Yu. L.; Kushnerevich V. A. |
| spellingShingle | Daletskii, Yu. L. Kushnerevich, V. A. Далецький, Ю. Л. Кушниревич, В. А, Далецький, Ю. Л. Кушниревич, В. А, Differential structures in lie superalgebras |
| title | Differential structures in lie superalgebras |
| title_alt | Дифференциальные структуры в супералгебре Ли |
| title_full | Differential structures in lie superalgebras |
| title_fullStr | Differential structures in lie superalgebras |
| title_full_unstemmed | Differential structures in lie superalgebras |
| title_short | Differential structures in lie superalgebras |
| title_sort | differential structures in lie superalgebras |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5308 |
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