E-Discretization of Tori of Exceptional Compact Simple Lie Groups
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00179468" target="_blank" >RIV/68407700:21340/10:00179468 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
E-Discretization of Tori of Exceptional Compact Simple Lie Groups
Original language description
We consider an exceptional compact simple Lie group G, the corresponding affine Weyl group and its even subgroup. Given a positive integer M, we introduce a finite set of lattice points F-M(e). The even affine Weyl group determines the symmetry of the grid F-M(e), the number M determines its density. We present a construction of the set F-M(e) and explicitly count the numbers of its points for the cases of G(2) and F-4. We specify the maximal set of pairwise orthogonal E-functions over F-M(e). This finite set allows us to calculate Fourier like discrete expansions of an arbitrary discrete function on F-M(e).
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
XXIX Workshop on Geometric Methods in Physics
ISBN
978-0-7354-0861-6
ISSN
0094-243X
e-ISSN
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Number of pages
6
Pages from-to
89-94
Publisher name
American Institute of Physics
Place of publication
Melville, New York
Event location
Białowieza
Event date
Jun 27, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000286908600010