Results 11 to 20 of about 229,491 (314)
Left-Invariant Einstein-like Metrics on Compact Lie Groups
Mathematics, 2022 In this paper, we study left-invariant Einstein-like metrics on the compact Lie group G. Assume that there exist two subgroups, H⊂K⊂G, such that G/K is a compact, connected, irreducible, symmetric space, and the isotropy representation of G/H has exactly
An Wu, Huafei Sun
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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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Extrinsic calibration for motion estimation using unit quaternions and particle filtering [PDF]
Modeling, Identification and Control, 2020 This paper presents a method for calibration of the extrinsic parameters of a sensor system that combines a camera with an inertial measurement unit (IMU) to estimate the pendulum motion of a crane payload.
Aksel Sveier +2 more
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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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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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Darboux helices in three dimensional Lie groups
AIMS Mathematics, 2020 In this paper, we introduce Darboux helices in a three dimensional Lie group G with a bi-invariant metric and give some characterizations of Darboux helices.
Ufuk Öztürk, Zeynep Büşra Alkan
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Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
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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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