Bialgebra structures on a real semisimple Lie algebra.
Chloup, Véronique (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Chloup, Véronique (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Benjamin Cahen (2011)
Commentationes Mathematicae Universitatis Carolinae
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We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].
de Sousa Oliveira Santos, José Carlos (1999)
Journal of Lie Theory
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Dominique Manchon (1991)
Journal für die reine und angewandte Mathematik
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D. V. Alekseevsky (1997)
Zbornik Radova
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Elduque, Alberto, Kochetov, Mikhail (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17B70, secondary 17B40, 16W50. Given a grading Γ : L ⨁ = g ∈ G L g on a nonassociative algebra L by an abelian group G, we have two subgroups of Aut(L): the automorphisms that stabilize each component L g (as a subspace) and the automorphisms that permute the components. By the Weyl group of Γ we mean the quotient of the latter subgroup by the former. In the case of a Cartan decomposition of a semisimple complex Lie algebra,...
Benayadi, Saïd (2000)
Beiträge zur Algebra und Geometrie
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W. Rossmann (1995)
Inventiones mathematicae
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Włodzimierz Waliszewski (1986)
Annales Polonici Mathematici
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Jan Kubarski (1991)
Revista Matemática de la Universidad Complutense de Madrid
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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....
Baguis, P., Stavracou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Nishiyama, Kyo (1999)
Journal of Lie Theory
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