TY - JOUR
T1 - Induced Representations and Invariant Integral Operators for SU (2, 2)
AU - Dobrev, V. K.
AU - Moylan, P.
PY - 1994
Y1 - 1994
N2 - 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.
AB - 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.
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U2 - 10.1002/prop.2190420403
DO - 10.1002/prop.2190420403
M3 - Article
AN - SCOPUS:84990634643
SN - 0015-8208
VL - 42
SP - 339
EP - 392
JO - Fortschritte der Physik/Progress of Physics
JF - Fortschritte der Physik/Progress of Physics
IS - 4
ER -