Filtry
On holonomy of Weyl connections in Lorentzian signature
Holonomy algebras of Weyl connections in Lorentzian signature are classified. In particular, examples of Weyl connections with all possible holonomy algebras are constructed....
Pure mathematics
- 2021 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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 vec...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the classification of the Weyl tensor in higher dimensions
We overview recently developed algebraic classification of the Weyl tensor in arbitrary dimension and discuss various applications.
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Algebraic structure of Robinson-Trautman and Kundt geometries in arbitrary dimension
We investigate the Weyl tensor algebraic structure of a fully general family all Weyl scalars of various boost weights. This enables us to give a complete algebraic classification of the metrics in the cas...
BE - Teoretická fyzika
- 2015 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Geometric realizations of affine Kac-Moody algebras
The goal of the present paper is to obtain new free field realizations of affine Kac-Moody algebras motivated by geometric representation theory for generalized flag manifolds of finite dimensional semisimple Lie groups. We provide an explic...
Pure mathematics
- 2019 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On cubature rules associated to weyl group orbit functions
to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials functions associated to the Weyl group orbit functions is presented and the link between the Weyl group orbit functions and the Jacobi ...
BA - Obecná matematika
- 2016 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
An algebraic approach to the Weyl groupoid
We unify the Kumjian-Renault Weyl groupoid construction with the Lawson-Lenz version of Exel's tight groupoid construction. We do this by utilising only a weak algebraic fragment of the C*-algebra structure, namely its *-se...
Pure mathematics
- 2021 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Connection Between Horizons and Algebraic Type
We study connections between both event and quasilocal horizons and the algebraic type of the Weyl tensor. The relation regarding spacelike future outer trapping horizon is analysed in four dimensions using double-null foliation....
BE - Teoretická fyzika
- 2014 •
- D •
- Odkaz
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Construction of representations of Poincaré group using Lie fields
associated with the Schrödinger representation of the Weyl algebra for n = 1, 2, and 3 and localization of the enveloping algebras associated with these Weyl algebras and the Poincaré algebras....
Pure mathematics
- 2018 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Classification of the Weyl tensor in higher dimensions and its applications
The algebraic classification of the Weyl tensor in higher dimensions is a natural generalization of the Petrov classification in four dimensions. We overview basic properties of the classification and discuss various applications....
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
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