Jiří Hrivnák

ON DISCRETIZATION OF TORI OF COMPACT SIMPLE LIE GROUPS

Three types of numerical data are provided for compact simple Lie groups

On (α,β,γ)-derivations of Lie algebras and corresponding invariant functions

G

Graded contractions of the Pauli graded sl(3, C)

of classical types and of any rank. This data is indispensable for Fourier-like expansions of multidimensional digital data into finite series of

Two-dimensional symmetric and antisymmetric generalizations of exponential and cosine functions

E-

Two-dimensional symmetric and antisymmetric generalizations of sine functions

functions on the fundamental domain

Generalized discrete orbit function transforms of affine Weyl groups

F^{e}

Six types of E-functions of the Lie groups O(5) and G(2)

. Firstly, we determine the number

Twisted cocycles of Lie algebras and corresponding invariant functions

|F^{e}_M|

Four families of Weyl group orbit functions of B3 and C3

of points in

Cubature Formulas of Multivariate Polynomials Arising from Symmetric Orbit Functions

F^{e}