Results 11 to 20 of about 40,383 (355)
Weak Lie symmetry and extended Lie algebra [PDF]
Journal of Mathematical Physics, 2013 The concept of weak Lie motion (weak Lie symmetry) is introduced. Applications given exhibit a reduction of the usual symmetry, e.g., in the case of the rotation group. In this context, a particular generalization of Lie algebras is found (“extended Lie algebras”) which turns out to be an involutive distribution or a simple example for a tangent Lie ...
Goenner, Hubert F. M., Hubert Goenner
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Automorphic Lie algebras with dihedral symmetry [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 20 pages, 5 tables, standard ...
Knibbeler, V. +2 more
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Jacobi–Lie symmetry and Jacobi–Lie T-dual sigma models on group manifolds
Nuclear Physics B, 2018 Using the concept of Jacobi–Lie group and Jacobi–Lie bialgebra, we generalize the definition of Poisson–Lie symmetry to Jacobi–Lie symmetry. In this regard, we generalize the concept of Poisson–Lie T-duality to Jacobi–Lie T-duality and present Jacobi–Lie
A. Rezaei-Aghdam, M. Sephid
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Lorentz transformations as Lie–Poisson symmetries [PDF]
Journal of Mathematical Physics, 1995 We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson–Lie group. In so doing we obtain the classical limit of a particle moving on a noncommutative space possessing SLq(2, C) invariance.
SIMONI, ALBERTO, Stern A., Yakuscin I.
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Lie symmetry, discrete symmetry and supersymmetry of the Pauli Hamiltonian [PDF]
Czechoslovak Journal of Physics, 2001 Starting from the full group of symmetries of a system we select a discrete subset of transformations which allows to introduce the Clifford algebra of operators generating new supercharges of extended supersymmetry. The system defined by the Pauli Hamiltonian is discussed.
Frydryszak, Andrzej M. +1 more
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On the Lie Symmetries of KeplerErmakov Systems [PDF]
Journal of Nonlinear Mathematical Physics, 2002 In this work, we study the Lie-point symmetries of Kepler--Ermakov systems presented by C. Athorne in J. Phys. A24 (1991), L1385--L1389. We determine the forms of arbitrary function H(x,y) in order to find the members of this class possessing the sl(2,R) symmetry and a Lagrangian.
Karasu, Ayşe, Yildirim, Hasan
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Journal of Taibah University for Science, 2022 This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how particular dispersive waves behave in an NHB equation.
Nursena Günhan Ay, Emrullah Yaşar
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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, 2014 In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid +3 more
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Analysis of the Symmetries and Conservation Laws of the Nonlinear Jaulent-Miodek Equation
Abstract and Applied Analysis, 2014 Lie symmetry method is performed for the nonlinear Jaulent-Miodek equation. We will find the symmetry group and optimal systems of Lie subalgebras. The Lie invariants associated with the symmetry generators as well as the corresponding similarity reduced
Mehdi Nadjafikhah, Mostafa Hesamiarshad
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