Invariant operators of IU(n) and IO(n) and their eigenvalues

Details Invariant operators of IU(n) and IO(n) and their eigenvalues Invariant operators of IU(n) and IO(n) and their eigenvalues

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jmp....20..247w&link_type=abstract

Journal of Mathematical Physics, Volume 20, Issue 2, pp. 247-250 (1979).

Mathematics

Mathematical Physics

2

General Properties, Structure, And Representation Of Lie Groups

Scientific paper

A systematic explicit evaluation of the invariant operators of IU(n) and IO(n) has been carried out. It is found that the invariant operators of IU(n) and IO(n) can be obtained from those of U(n,1) and O(n,1) by simple substitution. Similarly the eigenvalues of the invariant operators of IU(n) and IO(n) can be obtained from those of U(n,1) and O(n,1) by simple substitution. Since the invariant operators and their eigenvalues of U(n,1) and O(n,1) are closely related to those of U(n+1) and O(n+1) our results can be expressed in explicitly closed and simple form.

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