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New approach to quantization of the relativistic Majorana field is presented.It is based on expansion of the field into eigenfunctions of the axial momentum-- a novel observable introduced recently. Relativistic invariance is used asthe main guiding principle instead of canonical formalism. Hidden structure ofthe quantized Majorana field in the form of real Clifford algebra of Hermitianfermionic operators is unveiled. Generators of the Poincar\'e transformationsin the Fock space are found as solutions of certain operator equations, withoutinvoking the principle of correspondence with classical conserved quantities.Also operators of parity $\hat{\mbox{P}}$ and time reversal $\hat{\mbox{T}}$are constructed.

Axial momentum and quantization of the Majorana field