the paper analyses symmetry properties of the Dirac equation, i.e., the wave equation describing rel- ativistic and quantum behaviour of electrons. Although Dirac equation provides a well-established model, commonly used in fundamental and applied physics for more than sixty years there are still some deli- cate points concerning its interpretation and invariance properties. They become even more serious, when one aims to describe the interaction between electron waves and gravitational field. Or, at least, to refor- mulate the theory in terms of curvilinear coordinates.
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