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7 papers · 2 filters
On E-Discretization of Tori of Compact Simple Lie Groups
Jiří Hrivnák, Jiří Patera
Three types of numerical data are provided for compact simple Lie groups of classical types and of any rank. This data is indispensable for Fourier-like expansions of multidime…
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 …
Can solvable extensions of a nilpotent subalgebra be useful in the classification of solvable algebras with the given nilradical?
Libor Snobl, Dalibor Karasek
We construct all solvable Lie algebras with a specific n-dimensional nilradical n_{n,3} which contains the previously studied filiform nilpotent algebra n_{n-2,1} as a subalgebra b…
Twisted cocycles of Lie algebras and corresponding invariant functions
Jiri Hrivnak, Petr Novotny
We consider finite-dimensional complex Lie algebras. Using certain complex parameters we generalize the concept of cohomology cocycles of Lie algebras. A special case is generaliza…
On Discretization of Tori of Compact Simple Lie Groups
Jiri Hrivnak, Jiri Patera
Three types of numerical data are provided for simple Lie groups of any type and rank. This data is indispensable for Fourier-like expansions of multidimensional digital data into…