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HOMOLOGY THEORY OF MULTIPLICATIVE HOM-LIE ALGEBRAS.

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Τίτλος: HOMOLOGY THEORY OF MULTIPLICATIVE HOM-LIE ALGEBRAS.
Συγγραφείς: MAOSEN XU, ZHIXIANG WU
Πηγή: Mathematical Reports; 2023, Vol. 25 Issue 2, p331-347, 17p
Θεματικοί όροι: Lie algebras, Homology theory, Spectral sequences (Mathematics), Mathematical sequences, Multiplication
Περίληψη: In this article, we establish Serre-Hochschild spectral sequences of Hom-Lie algebras. By using these spectral sequences, we describe homology groups of finite dimensional multiplicative Hom-Lie algebras in terms of homology groups of Lie algebras and abelian Hom-Lie algebras. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical Reports is the property of Romanian Academy Publishing House / Editura Academiei Romane and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: HOMOLOGY THEORY OF MULTIPLICATIVE HOM-LIE ALGEBRAS.
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  Data: Mathematical Reports; 2023, Vol. 25 Issue 2, p331-347, 17p
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  Data: <searchLink fieldCode="DE" term="%22Lie+algebras%22">Lie algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Homology+theory%22">Homology theory</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+sequences%22">Mathematical sequences</searchLink><br /><searchLink fieldCode="DE" term="%22Multiplication%22">Multiplication</searchLink>
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  Data: In this article, we establish Serre-Hochschild spectral sequences of Hom-Lie algebras. By using these spectral sequences, we describe homology groups of finite dimensional multiplicative Hom-Lie algebras in terms of homology groups of Lie algebras and abelian Hom-Lie algebras. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematical Reports is the property of Romanian Academy Publishing House / Editura Academiei Romane and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.59277/mrar.2023.25.75.2.331
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 331
    Subjects:
      – SubjectFull: Lie algebras
        Type: general
      – SubjectFull: Homology theory
        Type: general
      – SubjectFull: Spectral sequences (Mathematics)
        Type: general
      – SubjectFull: Mathematical sequences
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              Text: 2023
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