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We investigate the (1+1)-dimensional position-dependent mass Dirac equationwithin the confines of so(2,1) potential algebra by utilizing the character ofa spatial varying Fermi velocity. We examine the combined effects of the twowhen the Dirac equation is equipped with an external pseuodoscalar potential.Solutions of the three cases induced by so(2, 1) are explored by profitablymaking use of a point canonical transformation.

So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation