Biderivations of complete Lie algebras
| Autor: | Di Bartolo, Alfonso, La Rosa, Gianmarco |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Algebra and Its Applications (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0219498825500161 |
| Popis: | The authors of this article intend to present some results obtained in the study of biderivations of complete Lie algebras. Firstly they present a matricial approach to do this, which was a useful and explanatory tool not only in the study of biderivations but also in the synthesis of these results. Then they study all biderivations of a Lie algebra $L$ with $\operatorname{Z}(L)=0$ and $\operatorname{Der(L)}=\operatorname{ad(L)}$, called complete. Moreover, as an application of the previous result, they describe all biderivations of a semisimple Lie algebra (that are complete), extending a result obtained by X. Tang in ([20]) that describes all biderivations of a complex simple Lie algebra. And thirdly, results on symmetric and skew-symmetric biderivations are also presented. Comment: Accepted manuscript to appear in JAA |
| Databáze: | arXiv |
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