Induced Representations and Invariant Integral Operators for SU (2, 2)

V. K. Dobrev, P. Moylan

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Abstract

The elementary representations (ER) of SU (2, 2) induced from the three non‐trivial parabolic subgroups P0, P1, P2 are explicitly constructed in two equivalent realizations. We exhibit a one‐to‐one correspondence between the P0 and P2 induced representations. The corresponding representations are equivalent. We also exhibit a two‐to‐one correspondence between the P1 ERs and a subset of the P0 ERs; however, the corresponding representations are only partially equivalent. The Knapp‐Stein integral intertwining operators are explicitly given for all representations in consideration.

Original languageEnglish (US)
Pages (from-to)339-392
Number of pages54
JournalFortschritte der Physik/Progress of Physics
Volume42
Issue number4
DOIs
Publication statusPublished - 1994

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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