Results 11 to 20 of about 1,668,111 (289)
Einstein warped product spaces on Lie groups
Cubo, 2022 We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for the cases, $(i)$ $M_1$ is a Lie group $(ii)$ $M_2$ is a Lie group and $(iii ...
Buddhadev Pal +2 more
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Cyclic metric Lie groups [PDF]
, 2013 Cyclic metric Lie groups are Lie groups equipped with a left-invariant metric which is in some way far from being biinvariant, in a sense made explicit in terms of Tricerri and Vanhecke's homogeneous structures.
Gadea, P. M. +2 more
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Transactions of the American Mathematical Society, 1985 This paper studies the structure of locally compact groups which are determined by Lie groups in one form or another. The best understood class if that of pro-Lie groups G (which are locally compact groups with arbitrarily small compact normal subgroups N such that G/N is a Lie group. Theorem 1 says that these are precisely those groups G such that for
Bagley, R. W., Wu, T. S., Yang, J. S.
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Transformation Groups, 2018 In this paper we study the Lie theoretic properties of a class of topological groups which carry a Banach manifold structure but whose multiplication is not smooth. If $G$ and $N$ are Banach-Lie groups and $π: G \to \mathrm{Aut}(N)$ is a homomorphism defining a continuous action of $G$ on $N$, then $H := N \rtimes_πG$ is a Banach manifold with a ...
Marquis, T., Neeb, K-H.
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International Journal of Mathematics and Mathematical Sciences, 2003 Special para-f-structures on Lie groups are studied. It is shown that every para-f-Lie group G is the quotient of the product of an almost product Lie group and a Lie group with trivial para-f-structure by a discrete subgroup.
Andrew Bucki
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On Groups of Automorphism of Lie Groups [PDF]
Proceedings of the National Academy of Sciences, 1944 Not ...
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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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Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The article gives an algorithm for constructing quantum integrals of motion on the basis of well-known classic integrals.To construct quantum integrals, we apply star product of the operators' symbols, which is used in the quantization theory.A non ...
Anton Sergeevich Popov +1 more
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On Lie rings of torsion groups
Bulletin of Mathematical Sciences, 2016 We prove that the Lie ring associated to the lower central series of a finitely generated residually-p torsion group is graded nil.
Consuelo Martínez, Efim Zelmanov
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Bilinear cryptography using Lie algebras from p-groups [PDF]
Mathematics and Computational Sciences, 2021 Pairings are particular bilinear maps, and they have been defined based on elliptic curves whichare abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposedpairings from a tensor product of groups in 2013.
Elaheh Khamseh
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