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Super-biderivations and linear super-commuting maps on infinite-dimensional Lie superalgebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، شماره 1، آبان 2026، صفحه 15-36 اصل مقاله (200.38 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.29499.1755 | ||
| نویسنده | ||
| M. Abdaoui* | ||
| University of Kairouan, LR18ES45, Mathematical Physics, Quantum Modeling and Mechanical Design,Preparatory Institute for Engineering Studies of Kairouan, Kairouan, 3100, Tunisia | ||
| چکیده | ||
| Let $\mathcal{G}_{\epsilon}$ (resp. $\mathcal{W}_{\epsilon}$) with $\epsilon=0$ or $\frac{1}{2}$ be the complete spectrum-generating superalgebra (resp. the centerless super Virasoro algebra). In this paper, the super-skewsymmetric super-biderivations on $\mathcal{G}_{\epsilon}$ and $\mathcal{W}_{\epsilon}$ are completely determined. In particular, we show that every super-skewsymmetric super-biderivation $\varphi$ (resp. $\phi$) of $\mathcal{G}_{\epsilon}$ (resp. $\mathcal{W}_{\epsilon}$) is inner. Based on the results of super-biderivations, we shall give the certain forms of all linear super-commuting maps on $\mathcal{G}_{\epsilon}$ and $\mathcal{W}_{\epsilon}$ | ||
| کلیدواژهها | ||
| Complete spectrum-generating superalgebra؛ Centerless super Virasoro algebra؛ Super-biderivation؛ Super-skewsymmetric؛ Linear super-commuting map | ||
| مراجع | ||
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