Zuckerman functors for Lie superalgebras. (Foncteurs de Zuckerman pour les superalgèbres de Lie.)
de Sousa Oliveira Santos, José Carlos (1999)
Journal of Lie Theory
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de Sousa Oliveira Santos, José Carlos (1999)
Journal of Lie Theory
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A.S. Dzhumadil'daev, N.A. Ismailov, A.T. Orazgaliyev (2020)
Communications in Mathematics
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We give a criterion for Leibniz elements in a free diassociative algebra. In the diassociative case one can consider two versions of Lie commutators. We give criterions for elements of diassociative algebras to be Lie under these commutators. One of them corresponds to Leibniz elements. It generalizes the Dynkin-Specht-Wever criterion for Lie elements in a free associative algebra.
Nijenhuis, A. (1996)
Archivum Mathematicum
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Włodzimierz Waliszewski (1986)
Annales Polonici Mathematici
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Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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Fritzsche, Bernd (1999)
Journal of Lie Theory
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Pestov, Vladimir (1995)
Journal of Lie Theory
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Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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Liping Sun, Wende Liu (2017)
Open Mathematics
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According to the classification by Kac, there are eight Cartan series and five exceptional Lie superalgebras in infinite-dimensional simple linearly compact Lie superalgebras of vector fields. In this paper, the Hom-Lie superalgebra structures on the five exceptional Lie superalgebras of vector fields are studied. By making use of the ℤ-grading structures and the transitivity, we prove that there is only the trivial Hom-Lie superalgebra structures on exceptional simple Lie superalgebras....
Breckner, Brigitte E. (2002)
Mathematica Pannonica
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L. G. Kovács, Ralph Stöhr (2004)
Rendiconti del Seminario Matematico della Università di Padova
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