46 citations · 432 across the 37 of their papers we have counts for
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On Discretization of Tori of Compact Simple Lie Groups II
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
The discrete orthogonality of special function families, called - and -functions, which are derived from the characters of compact simple Lie groups, is described in Hrivnák…
Six types of functions of the Lie groups O(5) and G(2)
Lenka Háková, Jiří Hrivnák, Jiří Patera
New families of -functions are described in the context of the compact simple Lie groups O(5) and G(2). These functions of two real variables generalize the common exponential f…
Three variable exponential functions of the alternating group
Jiří Hrivnák, Jiří Patera, Severin Pošta
New class of special functions of three real variables, based on the alternating subgroup of the permutation group , is studied. These functions are used for Fourier-like expa…
On E-functions of Semisimple Lie Groups
Jiří Hrivnák, Iryna Kashuba, Jiří Patera
We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group as their expansions into series of special func…
Gaussian cubature arising from hybrid characters of simple Lie groups
Robert V. Moody, Lenka Motlochova, Jiri Patera
Lie groups with two different root lengths allow two mixed sign homomorphisms on their corresponding Weyl groups, which in turn give rise to two families of hybrid Weyl group orbit…