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.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)