On discretization of tori of compact simple Lie groups: II

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00202259" target="_blank" >RIV/68407700:21340/12:00202259 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1751-8113/45/25/255201" target="_blank" >http://dx.doi.org/10.1088/1751-8113/45/25/255201</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/45/25/255201" target="_blank" >10.1088/1751-8113/45/25/255201</a>

Result language
angličtina
Original language name
On discretization of tori of compact simple Lie groups: II
Original language description
The discrete orthogonality of special function families, called C- and S-functions, which are derived from the characters of compact simple Lie groups, is described in Hrivnak and Patera (2009 J. Phys. A: Math. Theor. 42 385208). Here, the results of Hrivnak and Patera are extended to two additional recently discovered families of special functions, called S-s- and S-l-functions. The main result is an explicit description of their pairwise discrete orthogonality within each family, when the functions are sampled on finite fragments F-M(s) and F-M(l) of a lattice in any dimension n >= 2 and of any density controlled by M, and of the symmetry of the weight lattice of any compact simple Lie group with two different lengths of roots.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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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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