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Classification of Solvable Lie Algebras with a Given Nilradical by Means of Solvable Extensions of its Subalgebras
algebra n_n-2,1 as a subalgebra but not as an ideal. Rather surprisingly it turns out thatthe classification of such solvable algebras can be deduced from the classification of solvable algebras with the ...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
About the classification of the holonomy algebras of lorentzian manifolds
The classification of the holonomy algebras of Lorentzian manifolds can be reduced to the classification of the irreducible subalgebras h in so(n of irreducible holonomy algebras of Riemannian manifolds. The natura...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Deformations of current Lie algebras. I. Small algebras in characteristic 2
We compute low-degree cohomology of current Lie algebras extended over the 3-dimensional simple algebra, compute deformations of related semisimple Lie algebras, and apply these results to classification of simple ...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Algebraic classification of the Weyl tensor : selected applications
Selected applications of the algebraic classi?cation of tensors on Lorentzian manifolds of arbitrary dimension are discussed. We clarify some aspects of the relationship between invariants of tensors and their algebraic class, discu...
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Holonomy of Einstein Lorentzian manifolds
The classification of all possible holonomy algebras of Einstein and vacuum Einstein Lorentzian manifolds is obtained. It is shown that each such algebra appears as the holonomy algebra of an Einstein (resp. vacuum...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Lorentzian holonomy algebras and their applications
We discuss the classification of the holonomy algebras of Lorentzian manifolds and their applications...
BA - Obecná matematika
- 2011 •
- O
Rok uplatnění
O - Ostatní výsledky
Classification of the Weyl tensor in higher dimensions
We discuss the algebraic classification of the Weyl tensor in higher-dimensional Lorentzian manifolds. This is done by characterizing algebraically special Weyl tensors by means of the existence of aligned null vectors of v...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some applications of the Lorentzian holonomy algebras
It is shown how one can apply the classification of the holonomy algebras of Lorentzian manifolds to solve some problems. In particular, a new proof to the classification of Lorentzian manifolds with recurrent curvature ten...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Curvature tensors on distorted Killing horizons and their algebraic classification
We consider generic static spacetimes with Killing horizons and study properties of curvature tensors in the horizon limit. It is determined that the Weyl, Ricci, Riemann and Einstein tensors are algebraically special and mutually aligned on...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On a general construction of diagonal algebras
There is found the construction of generalized diagonal algebras of type I, and an idea of their classification.
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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