TY - JOUR
T1 - Some observations on enveloping algebras of noncompact groups
AU - Rosen, Joe
AU - Roman, Paul
PY - 1966
Y1 - 1966
N2 - In order to provide the particle physicist with useful mathematical tools (and a large number of interesting identities), the enveloping algebras of the noncompact homogeneous O(p, q), U(p, g), and inhomogeneous IO(p, q), IU(p, q) groups are discussed in some detail. The construction of the generators of O(p, q + 1) and O(p + 1, q) from the enveloping algebra of IO(p, q) and the analog result for the corresponding pseudo-unitary groups are also presented.
AB - In order to provide the particle physicist with useful mathematical tools (and a large number of interesting identities), the enveloping algebras of the noncompact homogeneous O(p, q), U(p, g), and inhomogeneous IO(p, q), IU(p, q) groups are discussed in some detail. The construction of the generators of O(p, q + 1) and O(p + 1, q) from the enveloping algebra of IO(p, q) and the analog result for the corresponding pseudo-unitary groups are also presented.
UR - https://www.scopus.com/pages/publications/0040130037
U2 - 10.1063/1.1704892
DO - 10.1063/1.1704892
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AN - SCOPUS:0040130037
SN - 0022-2488
VL - 7
SP - 2072
EP - 2078
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
IS - 11
ER -