E-Orbit Functions

@article{Klimyk2008EOrbitF,
  title={E-Orbit Functions},
  author={Anatoliy U. Klimyk and Jir{\'i} Patera},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2008},
  volume={4},
  pages={002}
}
  • A. Klimyk, J. Patera
  • Published 5 January 2008
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
We review and further develop the theory of E-orbit functions. They are func- tions on the Euclidean spaceEn obtained from the multivariate exponential function by sym- metrization by means of an even part We of a Weyl group W, corresponding to a Coxeter- Dynkin diagram. Properties of such functions are described. They are closely related to symmetric and antisymmetric orbit functions which are received from exponential functions by symmetrization and antisymmetrization procedure by means of a… 
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56 Citations
Highly Influential Citations
4
Background Citations
22
Methods Citations
10

56 Citations

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Three-dimensional C-, S- and E-transforms
Three-dimensional continuous and discrete Fourier-like transforms, based on the three simple and four semisimple compact Lie groups of rank 3, are presented. For each simple Lie group, there are…
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