Intrinsic formulae for the Casimir operators of semidirect products of the exceptional Lie algebra G(2) and a Heisenberg Lie algebra

摘要

We show that the Casimir operators of the semidirect products G(2)circle plus(2Gamma(a,b)circle plusGamma(0,0))(-->)h of the exceptional Lie algebra G(2) and a Heisenberg algebra h can be constructed explicitly from the Casimir operators of G(2).