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AbstractWe study infinite approximate subgroups of soluble Lie groups. We show that approximate subgroups are close, in a sense to be defined, to genuine connected subgroups. Building upon this...

article Approximate lattices Approximate subgroups Lie groups Linear algebraic groups 05E15 22E99 22E40

Computation of derivatives (gradient and Hessian) of a fidelity function is one of the most crucial steps in many optimization algorithms. Having access to accurate methods for computing these derivatives is even more...

DERIVATIVES ESCALADE Lie algebra Numerical algorithms Optimal control /dk/atira/pure/subjectarea/asjc/2200/2208 name=Electrical and Electronic Engineering /dk/atira/pure/subjectarea/asjc/2200/2207 name=Control and Systems Engineering

Lie detection technology in speech is a process of lying psychological state recognition according speech signal analysis. Normally, the emotion of tension if felt when people lie. As a result, this tension leads to some subtle...

IT Research & Theory Computer Science and Information Technology Systems and Software Engineering

Let L and K be two Lie algebras over a commutative ring with identity. In this paper, under some conditions on L and K, it is proved that every triple homomorphism from L onto K is the sum of a homomorphism and an...

Let L and K be two Lie algebras over a commutative ring with identity. In this paper, under some conditions on L and K, it is proved that every triple homomorphism from L onto K is the sum of a homomorphism and an...

Computation of derivatives (gradient and Hessian) of a fidelity function is one of the most crucial steps in many optimization algorithms. Having access to accurate methods for computing these derivatives is even more...

DERIVATIVES ESCALADE Lie algebra Numerical algorithms Optimal control /dk/atira/pure/subjectarea/asjc/2200/2208 name=Electrical and Electronic Engineering /dk/atira/pure/subjectarea/asjc/2200/2207 name=Control and Systems Engineering

In this paper we define difference operators and homogeneous Sobolev-type spaces on the dual of a compact Lie group. As an application and to show that this defines a relevant differential structure, we state and prove...

Differential calculus over a non-commutative algebra Harmonic analysis on compact Lie groups Homogeneous Sobolev spaces /dk/atira/pure/subjectarea/asjc/2600/2603 name=Analysis

We study multipliers on graded nilpotent Lie groups defined via group Fourier transform. More precisely, we show that Hörmander-type conditions on the Fourier multipliers imply Lp-boundedness. We express these conditions...

Analysis on Lie groups Fourier multipliers Graded nilpotent Lie groups /dk/atira/pure/subjectarea/asjc/2600/2600 name=General Mathematics

We study multipliers on graded nilpotent Lie groups defined via group Fourier transform. More precisely, we show that Hörmander-type conditions on the Fourier multipliers imply Lp-boundedness. We express these conditions...

Analysis on Lie groups Fourier multipliers Graded nilpotent Lie groups /dk/atira/pure/subjectarea/asjc/2600/2600 name=General Mathematics

In this paper we define difference operators and homogeneous Sobolev-type spaces on the dual of a compact Lie group. As an application and to show that this defines a relevant differential structure, we state and prove...

Differential calculus over a non-commutative algebra Harmonic analysis on compact Lie groups Homogeneous Sobolev spaces /dk/atira/pure/subjectarea/asjc/2600/2603 name=Analysis

In this work we use Lie group theoretic methods and the theory of prolonged group actions to study two fully nonlinear partial differential equations (PDEs). First we consider a third order PDE in two spatial dimensions that...

math-ph math.AP math.MP

In this work we use Lie group theoretic methods and the theory of prolonged group actions to study two fully nonlinear partial differential equations (PDEs). First we consider a third order PDE in two spatial dimensions that...

math-ph math.AP math.MP

Let G be connected reductive algebraic group defined over an algebraically closed field of characteristic p>0 and suppose that p is a good prime for the root system of G, the derived subgroup of G is simply connected and...

Humphreys' conjecture Reduced enveloping algebras reductive groups Representations of Lie algebras Small modules /dk/atira/pure/subjectarea/asjc/2600/2600 name=General Mathematics

Let G be connected reductive algebraic group defined over an algebraically closed field of characteristic p>0 and suppose that p is a good prime for the root system of G, the derived subgroup of G is simply connected and...

Humphreys' conjecture Reduced enveloping algebras reductive groups Representations of Lie algebras Small modules /dk/atira/pure/subjectarea/asjc/2600/2600 name=General Mathematics

AbstractThe azimuthal correlation, $$\Delta \phi _{12}$$

Regular Article - Theoretical Physics

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