Representations of the real forms of calibrated analogue of the Lie algebra

Real-valued forms of the ${\mathbb Z}_2^n$ -graded analogue of the Lie algebra $sl(2, {\mathbb C})$ are described and their irreducible representations are studied.

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Date:1992
Main Authors: Ostrovsky, V.L., Silvestrov, S.D., Островский, В.Л., Сильвестров, С.Д.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8254
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Ostrovsky, V.L.
Silvestrov, S.D.
Островский, В.Л.
Сильвестров, С.Д.
author_facet Ostrovsky, V.L.
Silvestrov, S.D.
Островский, В.Л.
Сильвестров, С.Д.
author_sort Ostrovsky, V.L.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2024-03-27T09:55:08Z
description Real-valued forms of the ${\mathbb Z}_2^n$ -graded analogue of the Lie algebra $sl(2, {\mathbb C})$ are described and their irreducible representations are studied.
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spelling umjimathkievua-article-82542024-03-27T09:55:08Z Representations of the real forms of calibrated analogue of the Lie algebra Представления вещественных форм градуированного аналога алгебры Ли Ostrovsky, V.L. Silvestrov, S.D. Островский, В.Л. Сильвестров, С.Д. Real-valued forms of the ${\mathbb Z}_2^n$ -graded analogue of the Lie algebra $sl(2, {\mathbb C})$ are described and their irreducible representations are studied. Описаны вещественные формы ${\mathbb Z}_2^n$-градуированного аналога алгебры Ли $sl(2, {\mathbb C})$ и изучены их неприводимые представления. Описані дійсні форми ${\mathbb Z}_2^n$-градуйованого аналога алгебри Лі $sl(2, {\mathbb C})$ та вивчені їх незвідні представлення. Institute of Mathematics, NAS of Ukraine 1992-11-06 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8254 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 11 (1992); 1518-1524 Український математичний журнал; Том 44 № 11 (1992); 1518-1524 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8254/9834 Copyright (c) 1992 V.L. Ostrovsky, S.D. Silvestrov
spellingShingle Ostrovsky, V.L.
Silvestrov, S.D.
Островский, В.Л.
Сильвестров, С.Д.
Representations of the real forms of calibrated analogue of the Lie algebra
title Representations of the real forms of calibrated analogue of the Lie algebra
title_alt Представления вещественных форм градуированного аналога алгебры Ли
title_full Representations of the real forms of calibrated analogue of the Lie algebra
title_fullStr Representations of the real forms of calibrated analogue of the Lie algebra
title_full_unstemmed Representations of the real forms of calibrated analogue of the Lie algebra
title_short Representations of the real forms of calibrated analogue of the Lie algebra
title_sort representations of the real forms of calibrated analogue of the lie algebra
url https://umj.imath.kiev.ua/index.php/umj/article/view/8254
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