43 citations · 178 across the 13 of their papers we have counts for
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Two dimensional symmetric and antisymmetric generalizations of sine functions
Jiří Hrivnák, Lenka Motlochová, Jiří Patera
Properties of 2-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutation of their two variables are described. It is shown that…
Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions
Jiří Hrivnák, Jiří Patera
Properties of the four families of recently introduced special functions of two real variables, denoted here by , and , are studied. The superscripts and …
Branching rules for the Weyl group orbits of the Lie algebra A(n)
M. Larouche, M. Nesterenko, J. Patera
The orbits of Weyl groups W(A(n)) of simple A(n) type Lie algebras are reduced to the union of orbits of the Weyl groups of maximal reductive subalgebras of A(n). Matrices transfor…
Orbit functions of SU(n) and Chebyshev polynomials
M. Nesterenko, J. Patera, A. Tereszkiewicz
Orbit functions of a simple Lie group/Lie algebra L consist of exponential functions summed up over the Weyl group of L. They are labeled by the highest weights of irreducible fini…
The rings of n-dimensional polytopes
L. Hakova, M. Larouche, J. Patera
Points of an orbit of a finite Coxeter group G, generated by n reflections starting from a single seed point, are considered as vertices of a polytope (G-polytope) centered at the…