Intrinsic formulae for the Casimir operators of semidirect products of the exceptional Lie algebra G2 and a Heisenberg Lie algebra
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2004
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IOP Publishing
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Abstract
We showthat the Casimir operators of the semidirect productsG2−→⊕2�(a,b)⊕�(0,0)h of the exceptional Lie algebraG2 and a Heisenberg algebra h can be constructed explicitly from the Casimir operators of G2.