"6"^^ . "E-Discretization of Tori of Exceptional Compact Simple Lie Groups"@en . "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 . . . . "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)." . . "Bia\u0142owieza" . "RIV/68407700:21340/10:00179468" . "E-Discretization of Tori of Exceptional Compact Simple Lie Groups" . . . . . . . "Patera, J." . "255744" . . "American Institute of Physics" . "0094-243X" . "[0D86A34C6A17]" . "XXIX Workshop on Geometric Methods in Physics" . "RIV/68407700:21340/10:00179468!RIV12-MSM-21340___" . "special functions, interpolation"@en . . "E-Discretization of Tori of Exceptional Compact Simple Lie Groups" . "978-0-7354-0861-6" . "2010-06-27+02:00"^^ . "000286908600010" . "21340" . . "1"^^ . "Z(MSM6840770039)" . . . "2"^^ . "Hrivn\u00E1k, Ji\u0159\u00ED" . "E-Discretization of Tori of Exceptional Compact Simple Lie Groups"@en . "Melville, New York" .