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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