Abstract
The explicit construction of orthogonal polynomial bases of the orthogonal groups in a Gelfand-Cetlin basis is given. An indication how to compute orthogonal bases for the symplectic groups is presented.
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Želobenko D. P.: Compact Lie groups and their representations,in Translation of Mathematical Monographs, Vol. 40. American Mathematical Society, Providence, Rhode Island, 1973.
Klink W. H., Ton-That T.: Representation theory of compact groups,in Group Theoretical Methods in Physics, Lecture Notes in Physics Series (Ed. K. B. Wolf) Vol. 135. Springer-Verlag, Berlin, 1980, p. 502.
Klink W. H., Ton-That T.: Orthogonal polynomial bases for holomorphically induced representations of the orthogonal groups, to be submitted for publication.
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Invited talk at the International Symposium “Selected Topics in Quantum Field Theory and Mathematical Physics”, Bechyně, Czechoslovakia, June 14–21, 1981.
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Klink, W.H., Ton-That, T. Orthogonal polynomial bases of the orthogonal and symplectic groups. Czech J Phys 32, 499–503 (1982). https://doi.org/10.1007/BF01596839
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DOI: https://doi.org/10.1007/BF01596839