| Autor: |
Zhongxian Huang |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 8, Iss 12, Pp 28808-28817 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.20231476?viewType=HTML |
| Popis: |
Let $ \widetilde{\mathfrak{sv}} $ be the extended Schrödinger-Virasoro Lie algebra. In this paper, we consider the skew-symmetric biderivations of the extended Schrödinger-Virasoro Lie algebra. We prove that all biderivations of $ \widetilde{\mathfrak{sv}} $ are inner. Based on this result, we show that all linear commuting maps on $ \widetilde{\mathfrak{sv}} $, which have the form $ \psi(x) = \lambda x $, are standard. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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