E-Orbit Functions

@article{Klimyk2008EOrbitF,
  title={E-Orbit Functions},
  author={A. Klimyk and J. Patera},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2008},
  volume={4},
  pages={002}
}
  • A. Klimyk, J. Patera
  • Published 2008
  • Physics, 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… Expand
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56 Citations
Highly Influential Citations
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Background Citations
26
Methods Citations
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56 Citations

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Citation Type

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Weight-Lattice Discretization of Weyl-Orbit Functions
New families of Weyl group orbit functions
Orbit functions of SU(n) and Chebyshev polynomials
On E–discretization of tori of compact simple Lie groups. II
Generalized discrete orbit function transforms of affine Weyl groups
On E-functions of semisimple Lie groups
Dual-Root Lattice Discretization of Weyl Orbit Functions
Four families of Weyl group orbit functions of B 3 and C 3
Descent Systems, Eulerian Polynomials and Toric Varieties
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