Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type

UDC 512.5 We study Virasoro-type extensions of the $q$-deformed Witt Hom – Lie superalgebras. Moreover, we provide the cohomology of the $q$-deformed Witt – Virasoro superalgebras of the Hom type.

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Дата:2026
Автори: Makhlouf, A., Saadaoui, N., Махлуф, А., Саадауї, Н.
Формат: Стаття
Мова:Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/1534
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Makhlouf, A.
Saadaoui, N.
Махлуф, А.
Саадауї, Н.
author_facet Makhlouf, A.
Saadaoui, N.
Махлуф, А.
Саадауї, Н.
author_sort Makhlouf, A.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2026-02-09T14:27:57Z
description UDC 512.5 We study Virasoro-type extensions of the $q$-deformed Witt Hom – Lie superalgebras. Moreover, we provide the cohomology of the $q$-deformed Witt – Virasoro superalgebras of the Hom type.
doi_str_mv 10.3842/umzh.v71i11.1534
first_indexed 2026-03-24T02:07:34Z
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spelling umjimathkievua-article-15342026-02-09T14:27:57Z Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type Когомологiя $q$ - деформовaних супералгебр Вiтта – Вiрасоро типу Хома Makhlouf, A. Saadaoui, N. Махлуф, А. Саадауї, Н. UDC 512.5 We study Virasoro-type extensions of the $q$-deformed Witt Hom – Lie superalgebras. Moreover, we provide the cohomology of the $q$-deformed Witt – Virasoro superalgebras of the Hom type. УДК 512.5 Вивчаються розширення типу Вірасоро для $q$-деформовaних віттівських супералгебр Хома – Лі. Крім того, наведено когомологію $q$-деформовaних супералгебр Вітта – Вірасоро типу Хома. Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1534 10.3842/umzh.v71i11.1534 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 11 (2019); 1539-1552 Український математичний журнал; Том 71 № 11 (2019); 1539-1552 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/1534/516 Copyright (c) 2019 Makhlouf A.; Saadaoui N.
spellingShingle Makhlouf, A.
Saadaoui, N.
Махлуф, А.
Саадауї, Н.
Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type
title Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type
title_alt Когомологiя $q$ - деформовaних супералгебр Вiтта – Вiрасоро типу Хома
title_full Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type
title_fullStr Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type
title_full_unstemmed Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type
title_short Cohomology of $q$-deformed Witt – Virasoro superalgebras of the Hom type
title_sort cohomology of $q$-deformed witt – virasoro superalgebras of the hom type
url https://umj.imath.kiev.ua/index.php/umj/article/view/1534
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AT saadauín cohomologyofqdeformedwittvirasorosuperalgebrasofthehomtype
AT makhloufa kogomologiâqdeformovanihsuperalgebrvittavirasorotipuhoma
AT saadaouin kogomologiâqdeformovanihsuperalgebrvittavirasorotipuhoma
AT mahlufa kogomologiâqdeformovanihsuperalgebrvittavirasorotipuhoma
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