Lie group
Lie Group Classifications and Stability of Exact Solutions for Multidimensional Landau Lifshitz Equations
... classical Lie group method, we study multi-dimensional Landau-Lifshitz equation, and get its infinitesimal generator, symmetry group and new ...
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Computing the eigenvalues of fourth order Sturm-Liouville problems with Lie Group method
... In this paper, we formulate the fourth order Sturm-Liouville problem (FSLP) as a Lie group matrix differential equation. By solving this ma- trix differential equation by Lie group Magnus ...
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
... of Lie-group, we will propose a one-step GPS which can be used to identify the parameters appeared in the ...the Lie-group theory can help us to solve the parameter estimation equation in a ...
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Multi-Stage Meta-Learning for Few-Shot with Lie Group Network Constraint
... and Lie group learning[26][27] and constraint matrices to orthogonal ...use Lie group transitive to simplify calculation process to a linear ...
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Lie group structures on automorphism groups of real analytic CR manifolds
... Our proof of Theorem 1.2 makes use of the recent developments providing a relationship be- tween various notions and results concerning jet parametrization of local CR diffeomorphisms [BER97, Z97, BER99a, E01, KZ05, ...
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Accumulation of global error in Lie group methods for linear ordinary differential equations
... in Lie group methods for computing numerical solutions of linear ordinary differential ...corresponding Lie algebra can be used for quantitative error analysis, as long as the exact and the numerical ...
11
The first isomorphism theorem of lie group for fuzzy topographic topological mapping
... Lie group is situated at the intersection of two basic areas of mathematics: algebra and geometry. A Lie group is a group. It is also a differentiable (smooth) manifold. Finally, the ...
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Some Coefficients Method Of Solving Riccati Equation By Lie Group Symmetry
... more difficult problem solving the Riccati Equation by inspired guesswork, or geometric intuition, the steps used when solving all first order differential equations involve some assumptions and guesses of the form of ...
11
On the Structure of Infinitesimal Automorphisms of the Poisson Lie Group SU(2,R)
... Poisson-Lie group SU ( 2, ) . We will calculate, firstly, all Pois- son-Lie structures through the correspondence with Lie bialgebra; secondly, we will show that these Poisson-Lie ...
5
Lie group analysis and similarity solutions for hydro-magnetic Maxwell fluid through a porous medium
... The significant features of Lie group analysis for hydro-magnetic Maxwell fluid through a porous medium have been presented. Similarities solutions are obtained and applied to an important phenomena in ...
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Anisotropic Continuum Stored Energy Functional Solved by Lie Group and Differential Geometry
... the Lie group and particularly grouped by differential geometry, to newly define the second invariant component to capture anisotropic transverse effects and shear coupling effects, and to accurately fit ...
21
Commutators associated with Schrödinger operators on the nilpotent Lie group
... We prove the L p → L q boundedness for the commutator which is generated by the Riesz transform R and the function h ∈ Lip θ ν . We generalize the corresponding results on the Euclidean space in [6] to the nilpotent ...
17
On the K theory of the loop space of a Lie group
... isomorphism, of the spectral sequence of 1.1.7 for K-theory and the path space fibration on a Lie group with torsion.. This provides a negative answer to the conjecture of [33J, which wa[r] ...
141
Lie group structure for the first problem of stoke’s for rotating flow of third grade fluid
... properties from the original non-linear differential equation, and sometimes some initial or boundary conditions are superfluous for the simplified linear equations. As a result, the corresponding initial approximations ...
10
International Journal of Emerging Technology and Advanced Engineering
... The classification of Algebraic Groups and their structures are the great achievements in Mathematics. Algebraic Groups are used in most branches of Mathematics and they hence also played an important role in Quantum ...
5
Symmetric Spaces as Lie Groups and Lie Algebras
... their Lie algebras are very useful and important tools when studying symmetric spaces , this results from the fact that their algebraic properties derive from the group axioms , and their geometric ...
20
A Discourse On Applications Of Lie Groups And Lie Algebras
... for say s . An integral curve is called maximal if it is not a restriction of an integral curve defined on a larger interval of the real axis. It easily follows from the standard theorem on the uniqueness and existence ...
6
Using Tangent Boost along a Worldline and Its Associated Matrix in the Lie Algebra of the Lorentz Group
... the Lie group of Lorentz matrices (and its Lie algebra) on the Minkowski ...the Lie algebra, which, together with the tangent boost, describes completely the dynamical system: acceleration and ...
24
Factorizations in the Irreducible Characters of Compact Semisimple Lie Groups
... semisimple Lie groups. It is well-known that for a given Lie group G of rank n, the Virtual Representation Ring R(G) with the operations of tensor product, direct sum, and direct difference is ...
126
Invariant triple products
... Lemma 3.2. Let G be a Lie group and H a closed subgroup. Let X = G/H and let E → X be a smooth G-homogeneous vector bundle. Let ᐀ be a distribution on E, that is, a continuous linear form on Γ ∞ c (E). ...
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