Zobrazeno 1 - 10
of 142
pro vyhledávání: '"Jiri Patera"'
Publikováno v:
PLoS ONE, Vol 9, Iss 3, p e84079 (2014)
We describe the existence and structure of large fullerenes in terms of symmetry breaking of the C60 molecule. Specifically, we describe the existence of C70 in terms of breaking of the icosahedral symmetry of C60 by the insertion into its middle of
Externí odkaz:
https://doaj.org/article/f0be889efbd44930976d7adb2f8e0087
Autor:
Jiri Patera, Anatoliy U. Klimyk
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 002 (2008)
We review and further develop the theory of $E$-orbit functions. They are functions on the Euclidean space $E_n$ obtained from the multivariate exponential function by symmetrization by means of an even part $W_{e}$ of a Weyl group $W$, corresponding
Externí odkaz:
https://doaj.org/article/74e71a42264941eaa284df4ccf48cfa4
Autor:
Anatoliy Klimyk, Jiri Patera
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 023 (2007)
In the paper, properties of antisymmetric orbit functions are reviewed and further developed. Antisymmetric orbit functions on the Euclidean space $E_n$ are antisymmetrized exponential functions. Antisymmetrization is fulfilled by a Weyl group, corre
Externí odkaz:
https://doaj.org/article/2a34c129710e4435b6ce4f4659bae881
Autor:
Robert V. Moody, Jiri Patera
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 2, p 076 (2006)
The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group $G$. Such functions can always be
Externí odkaz:
https://doaj.org/article/eda4607dd3d2462fa544fdf1cc931584
Autor:
Anatoliy Klimyk, Jiri Patera
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 2, p 006 (2006)
In the paper, properties of orbit functions are reviewed and further developed. Orbit functions on the Euclidean space E_n are symmetrized exponential functions. The symmetrization is fulfilled by a Weyl group corresponding to a Coxeter-Dynkin diagra
Externí odkaz:
https://doaj.org/article/b6fbf3f4d39b4f3db0f3598d163c3284
Autor:
Jiri Patera
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 1, p 025 (2005)
New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank 2 ≤ n < ∞. Rank 1 transforms are known. Rank 2 exposition of C-
Externí odkaz:
https://doaj.org/article/d15622fd53f3443ba2031cb0c55e87dc
Publikováno v:
Analysis and Mathematical Physics. 9:2099-2108
A method for the decomposition of data functions sampled on a finite fragment of rectangular lattice is described. The symmetry of a square lattice in a 2-dimensional real Euclidean space is either given by the semisimple Lie group $$SU(2)\times SU(2
Publikováno v:
2019 22th International Conference on Information Fusion (FUSION).
Publikováno v:
Canadian Journal of Physics. 92:1446-1452
Icosahedral symmetry is ubiquitous in nature, and understanding possible deformations of structures exhibiting it can be critical in determining fundamental properties. In this work we present a framework for generating and representing deformations
Publikováno v:
Acta Crystallographica Section A Foundations and Advances. 70:650-655
Exact icosahedral symmetry of C60is viewed as the union of 12 orbits of the symmetric subgroup of order 6 of the icosahedral group of order 120. Here, this subgroup is denoted byA2because it is isomorphic to the Weyl group of the simple Lie algebraA2