Results 11 to 20 of about 710,480 (295)
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the
David Iglesias +4 more
doaj +11 more sources
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.
Goenner, Hubert F. M., Hubert Goenner
core +5 more sources
Automorphic Lie algebras with dihedral symmetry [PDF]
Journal of Physics A: Mathematical and Theoretical, 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
core +5 more sources
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.
openaire +4 more sources
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
openaire +3 more sources
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
openaire +3 more sources
Higher-dimensional automorphic lie algebras [PDF]
, 2016 The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan +10 more
core +2 more sources
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
core +1 more source
Operators of finite rank in unitary representations of exponential Lie groups [PDF]
, 1982 Poguntke D. Operators of finite rank in unitary representations of exponential Lie groups. Mathematische Annalen.
Poguntke, Detlev
core +1 more source
Lie symmetries for Lie systems: Applications to systems of ODEs and PDEs [PDF]
Applied Mathematics and Computation, 2016 A {\it Lie system} is a nonautonomous system of first-order differential equations admitting a {\it superposition rule}, i.e., a map expressing its general solution in terms of a generic family of particular solutions and some constants. Using that a Lie system can be considered as a curve in a finite-dimensional Lie algebra of vector fields, a so ...
Pilar G. Estévez +3 more
openaire +2 more sources