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Points of an orbit of a finite Coxeter group G, generated by n reflections starting from a single seed point, are considered as vertices of a polytope (G-polytope) centered at the origin of a real n-dimensional Euclidean space.
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1992
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1992
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1993
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1993
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R. V. Moody, J. Patera, A description of faces of Voronoi cells and their duals,
1993
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E. B. Vinberg, A. L. Onishchik, Lie groups and Lie algebras,
1994
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B. Champagne, M. Kjiri, J. Patera, R. T. Sharp, Description of reflection generated polytopes using decorated Coxeter diagrams,
1995
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R. V. Moody, J. Patera, Voronoi domains and dual cells in the generalized kaleidoscope with applications to root and weight lattices,
1995
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I. G. Macdonald, Symmetric functions and Hall polynomials,
1995
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M. Thoma, R. T. Sharp, Orbit-orbit branching rules between classical simple Lie algebras and maximal reductive subalgebras,
1996
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J. Patera, Compact simple Lie groups and theirs C C -, S S -, and E E -transforms,
2005
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R. V. Moody, J. Patera, Orthogonality within the families of C C -, S S -, and E E -functions of any compact semisimple Lie group,
2006
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A. Klimyk, J. Patera, Orbit functions,
2006
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A. Klimyk, J. Patera, Antisymmetric orbit functions,
2007
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R. Twarock, New group structure for carbon onions and nanotubes via affine extension of non-crystallographic Coxeter groups,
2008
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R. V. Moody, M. Nesterenko, J. Patera, Computing with almost periodic functions,
2008
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F. W. Lemire, J. Patera, Congruence number, a generalization of SU(3) triality
2027
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