161 citations
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5 papers · 1 filter
Four families of Weyl group orbit functions of B_3 and C_3
Lenka Háková, Jiří Hrivnák, Jiří Patera
The properties of the four families of special functions of three real variables, called here C-, S-, S^s- and S^l-functions, are studied. The S^s- and S^l-functions are considered…
Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2
Francis W. Lemire, Jiri Patera, Marzena Szajewska
The characters of irreducible finite dimensional representations of compact simple Lie group G are invariant with respect to the action of the Weyl group W(G) of G. The defining pr…
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…
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…