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  • 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).
  • 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). (en)
Title
  • E-Discretization of Tori of Exceptional Compact Simple Lie Groups
  • E-Discretization of Tori of Exceptional Compact Simple Lie Groups (en)
skos:prefLabel
  • E-Discretization of Tori of Exceptional Compact Simple Lie Groups
  • E-Discretization of Tori of Exceptional Compact Simple Lie Groups (en)
skos:notation
  • RIV/68407700:21340/10:00179468!RIV12-MSM-21340___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6840770039)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 255744
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21340/10:00179468
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • special functions, interpolation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [0D86A34C6A17]
http://linked.open...v/mistoKonaniAkce
  • Białowieza
http://linked.open...i/riv/mistoVydani
  • Melville, New York
http://linked.open...i/riv/nazevZdroje
  • XXIX Workshop on Geometric Methods in Physics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Hrivnák, Jiří
  • Patera, J.
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000286908600010
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 0094-243X
number of pages
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  • American Institute of Physics
https://schema.org/isbn
  • 978-0-7354-0861-6
http://localhost/t...ganizacniJednotka
  • 21340
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