Computation of Intertwining Operators of Finitedimensional Unitary Representations of Groups and Computation of Clebsch-Gordan Coefficients

✍ Scribed by Hartmut Schlosser

• Publisher: John Wiley and Sons
• Year: 1981
• Tongue: English
• Weight: 574 KB
• Volume: 104
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19811040103

✦ Synopsis

By HARTMUT SCHLOSSER of Greifswald (Eingegangen a m 4. 12. 1980) Introduction. In [2] the author describes a method for computation of strong intertwining operators of unitary representations of a class of topological groups which contains the connected LIE groups. In the case of finitedimensional represent-ations this procedure is useful for unitary representations of arbitrary connected topological groups. The general case is attributed to the case of LIE groups.

In this paper simplifications for finitedimensional representations are considered and as applications possibilities of decomposition of unitary represent,ations and of computation of CLEBSCH-GORDAN coefficients are discussed by an iteration process. The last one is a generalisation of the procedure of Sakata for finite