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 - http://www.scopus.com/inward/record.url?scp=0040130037&partnerID=8YFLogxK

U2 - 10.1063/1.1704892

DO - 10.1063/1.1704892

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

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 -