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math.CA2009★ 4 cited
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…
math.CA2007★ 25 cited
(Anti)symmetric multivariate exponential functions and corresponding Fourier transforms
A. Klimyk, J. Patera
We define and study symmetrized and antisymmetrized multivariate exponential functions. They are defined as determinants and antideterminants of matrices whose entries are exponent…