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DIFFERENTIAL GRADED LIE GROUPS AND THEIR DIFFERENTIAL GRADED LIE ALGEBRAS
In this paper we discuss the question of integrating differential graded Lie algebras (DGLA) to differential graded Lie groups (DGLG). We first recall the classical define the category of differential graded Li...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Equivalence problem and integrability of the Riccati equations
We consider the class of general real Riccati equations and find its Lie group of equivalence transformations. Using the Lie algebra of this Lie group and its invariants we formulate criteria of equivalenc...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions
irreducible representations of simple Lie groups, in numerical analysis. It is shown a weighted integral of any function by a weighted finite sum of function values, in connection with any simple Lie group
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Superintegrability of left-invariant sub-Riemannian structures on unimodular three-dimensional Lie groups
We consider left-invariant sub-Riemannian problems on three-dimensional unimodular Lie groups. We show that the Hamiltonian system of the Pontryagin maximum principle for such problems is Liouville integrable and even super...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Higher-order nonlinear dynamical systems and invariant Lagrangians on a Lie group: The case of nonlocal Hunter-Saxton type peakons
A G-strand is an evolutionary map g(t,s):RxR> G into a Lie group G that follows defined on the Lie algebra of the group G. t and s are independent variables type peakons. Peakons-antipeakons collision on Lie
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets
Let g be a simplicial Lie algebra with Moore complex Ng of length k. Let G be the simplicial Lie group integrating g, such that each G(n) is simply connected. We use the 1-jet of the classifying space (W) over barG...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Poisson-Lie Sigma Models on Drinfel'd double
Poisson-Lie groups is derived. Construction of the Poisson-Lie group corresponding to a given Lie bialgebra is widely known only for coboundary Lie bialgebras. Using theadjoint representation of ...
BE - Teoretická fyzika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Equivalence of Vector Field Realizations of Lie Algebras from the Lie Group Point of View
The equivalence of vector field realizations of Lie algebras is considered from the viewpoint of the Lie algebra and also from the corresponding (local) Lie group. It is shown that for some stages in the establishm...
Pure mathematics
- 2018 •
- D •
- Link
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D - Stať ve sborníku
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Lie algebra structure in the model of 3-link snake robot
additionally generates a finite dimensional Lie algebra over real numbers. This allows us to extend our model to a model with local Lie group structure, which may have......
Mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Evolution equation of Lie-type for finite deformations, and its time-discrete integration
The theory of evolution equations of Lie-type analyses a class of systems of timedependent first-order ordinary differential equations on a Lie group (resp. homogeneous dimensional Lie algebra. Their interesting ge...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2017 •
- C
Rok uplatnění
C - Kapitola v odborné knize
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