Results 31 to 40 of about 173,393,737 (138)
Lie algebras whose Lie groups have negative sectional curvature
Revista Integración, 2022 The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the ...
Gil Salgado
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The theorem of Lie and hyperplane subalgebras of Lie algebras [PDF]
, 1992 Poguntke D. The theorem of Lie and hyperplane subalgebras of Lie algebras. Geometriae Dedicata.
Poguntke, Detlev
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Pro-Lie Groups: A Survey with Open Problems
Axioms, 2015 A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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Chinese Journal of Mechanical Engineering, 2021 Advanced mathematical tools are used to conduct research on the kinematics analysis of hybrid mechanisms, and the generalized analysis method and concise kinematics transfer matrix are obtained.
Peng Sun +5 more
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On Groups whose Subnormal Abelian Subgroups are Normal [PDF]
Advances in Group Theory and Applications, 2022 In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical.
L.A. Kurdachenko +2 more
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Methods of group theory in Leibniz algebras: some compelling results
Researches in Mathematics, 2021 The theory of Leibniz algebras has been developing quite intensively. Most of the results on the structural features of Leibniz algebras were obtained for finite-dimensional algebras and many of them over fields of characteristic zero.
I.Ya. Subbotin
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Automorphic Lie algebras with dihedral symmetry [PDF]
, 2014 The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan +9 more
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A new model of the free monogenic digroup
Математичні Студії, 2023 It is well-known that one of open problems in the theory of Leibniz algebras is to find a suitable generalization of Lie’s third theorem which associates a (local) Lie group to any Lie algebra, real or complex. It turns out, this is related to finding an
Yu. V. Zhuchok, G. F. Pilz
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Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras
MathematicsThe goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
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A Cornucopia of Carnot Groups in Low Dimensions
Analysis and Geometry in Metric Spaces, 2022 Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
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