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The origin of tiny neutrino masses and the baryon number asymmetry of theUniverse are naturally interpreted by the canonical seesaw and leptogenesismechanisms, in which there are the heavy Majorana neutrino mass matrix $M_{\rmR}$, the Dirac neutrino mass matrix $M_{\rm D}$, the charged-lepton mass matrix$M_\ell$ and the effective (light) neutrino mass matrix $M_\nu$. We find that${\rm Im}\left(\det\left[ M^\dagger_{\rm D} M_{\rm D}, M^\dagger_{\rm R} M_{\rmR} \right]\right)$, ${\rm Im}\left(\det\left[ M_\ell M^\dagger_\ell, M_\nuM^\dagger_\nu \right]\right)$ and ${\rm Im}\left(\det\left[ M_\ellM^\dagger_\ell, M_{\rm D} M^\dagger_{\rm D} \right]\right)$ can serve for abasis-independent measure of CP violation associated withlepton-number-violating decays of heavy neutrinos, flavor oscillations of lightneutrinos and lepton-flavor-violating decays of charged leptons, respectively.We first calculate these quantities with the help of a standard parametrizationof the $6\times 6$ flavor mixing matrix, and then discuss their implications onboth leptogenesis and CP violation at low energy scales. A comparison with theweak-basis invariants of leptogenesis as proposed by Branco {\it et al} is alsomade.

Commutators of lepton mass matrices associated with seesaw and leptogenesis