The Derivation Algebra of the Extended Conformal Galilei Algebra
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We investigate the derivation algebra of the mass-extended conformal Galilei algebra over the
field of complex numbers. The algebra is realized as a one-dimensional central extension of the conformal
Galilei algebra. We determine the derivations and identify the distinguished outer derivation which acts by
one half on the translation module and by the identity on the central element. We then establish completeness
of the derivation algebra and describe the associated derivation tower.
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