Two types of E-discretization of tori of compact semisimple Lie groups

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00202261" target="_blank" >RIV/68407700:21340/12:00202261 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1742-6596/343/1/012046" target="_blank" >http://dx.doi.org/10.1088/1742-6596/343/1/012046</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/343/1/012046" target="_blank" >10.1088/1742-6596/343/1/012046</a>

Result language
angličtina
Original language name
Two types of E-discretization of tori of compact semisimple Lie groups
Original language description
We consider a compact semisimple Lie group together with its corresponding affine Weyl group. There are two cases of even affine Weyl subgroups. In the first case, given two positive integers M-1, M-2, we introduce a finite set of lattice points F-M1(e),(M2); similar lattice set F-M(e) is also constructed in the second case. Each even affine Weyl group then determines the symmetry of its corresponding lattice set as well as one type of E-function. We review the construction of maximal sets of pairwise orthogonal E-functions over the lattice grids. The entire construction of E-functions, discrete lattices and sets, discrete transforms and their application to interpolation is demonstrated for the case of the group SU(3) x SU(3).
Czech name
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Czech description
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Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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