E-Orbit Functions

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Earlier work this paper cites.

Mckay W.G., Patera J., Sannikoff D., The computation of branching rules for representations of semisimple Lie algebras, in Computers in Nonassociative Rings and Algebras, Editors R.E. Beck and B. Kolman, New York, Academic Press, 1977, 235–278

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Kac V., Infinite dimensional Lie algebras, Birkhäuser, Basel, 1982

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Moody R.V., Patera J., Elements of finite order in Lie groups and their applications, in Proceedings of XIII Int. Colloq. on Group Theoretical Methods in Physics, Editor W. Zachary, World Scientific Publishers, Singapore, 1984, 308–318

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McKay W.G., Moody R.V., Patera J., Tables of

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Bremner M.R., Moody R.V., Patera J., Tables of dominant weight multiplicities for representations of simple Lie algebras, Marcel Dekker, New York, 1985

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McKay W.G., Moody R.V., Patera J., Decomposition of tensor products of

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Patera J., Sharp R.T., Branching rules for representations of simple Lie algebras through Weyl group orbit reduction,

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Rao K.R., Yip P., Discrete cosine transform – algorithms, advantages, applications, Academic Press, New York, 1990

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Humphreys J.E., Reflection groups and Coxeter groups, Cambridge Univ. Press, Cambridge, 1990

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Vilenkin N.Ja., Klimyk A.U., Representations of Lie groups and special functions, Vol. 2, Kluwer, Dordrecht, 1993

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Macdonald I.G., Symmetric functions and hall polynomials, 2nd ed., Oxford Univ. Press, Oxford, 1995

1995

Cited alongside, same era.

Patera J., Orbit functions of compact semisimple Lie groups as special functions, in Proceedings of Fifth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 23–29, 2003, Kyiv), Editors A.G. Nikitin, V.M. Boyko, R.O. Popovych and I.A. Yehorchenko,

2004

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Atoyan A., Patera J., Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization,

2004

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Patera J., Zaratsyan A., Discrete and continuous sine transforms generalized to compact semisimple Lie groups of rank two,

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Klimyk A.U., Patera J., Orbit functions,

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Klimyk A.U., Patera J., Antisymmetric orbit functions,

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