Braided tensor product and Lie algebra in a braided category. (Produit tensoriel tressé et algèbre de Lie dans une catégorie tressée.)
Haddi, A., Hadj Nassar, S. (1999)
Beiträge zur Algebra und Geometrie
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Haddi, A., Hadj Nassar, S. (1999)
Beiträge zur Algebra und Geometrie
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Anh Nguyen Huu (1980)
Annales de l'institut Fourier
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We introduce a new class of connected solvable Lie groups called -group. Namely a -group is a connected solvable Lie group with center such that for some in the Lie algebra of , the symplectic for on given by is nondegenerate. Moreover, apart form some technical requirements, it will be proved that a connected unimodular Lie group with center , such that the center of is finite, has discrete series if and only if may be written as , , where is a -group with...
Baez, John C., Crans, Alissa S. (2004)
Theory and Applications of Categories [electronic only]
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Ju Huang, QingHua Chen, Chunhuan Lai (2020)
Czechoslovak Mathematical Journal
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We give an explicit recollement for a cocomplete abelian category and its colimit category. We obtain some applications on Leavitt path algebras, derived equivalences and -groups.
Deng Yin Wang, Xiaoxiang Yu (2011)
Czechoslovak Mathematical Journal
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An invertible linear map on a Lie algebra is called a triple automorphism of it if for . Let be a finite-dimensional simple Lie algebra of rank defined over an algebraically closed field of characteristic zero, an arbitrary parabolic subalgebra of . It is shown in this paper that an invertible linear map on is a triple automorphism if and only if either itself is an automorphism of or it is the composition of an automorphism of and an extremal map of order . ...
Baez, John C., Lauda, Aaron D. (2004)
Theory and Applications of Categories [electronic only]
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