Mir-Kasimov, R. M.2022-05-112022-05-1120101063-77961531-8559https://doi.org/10.1134/S1063779610060328https://hdl.handle.net/20.500.11776/10592Bogolyubov Conference on Modern Problems of Mathematical and Theoretical Physics -- SEP 15-18, 2009 -- Kyiv, UKRAINEIt is shown that the generating function for the matrix elements of irreps of Lorentz group is the common eigenfunction of the interior derivatives of the noncommutative differential calculus over the commutative algebra generated by the coordinate functions. These derivatives commute and can be interpreted as the quantum mechanical operators of the relativistic momentum corresponding to the half of the non-Euclidean distance from the origin in the Lobachevsky momentum space.en10.1134/S1063779610060328info:eu-repo/semantics/closedAccessConference Object416969972Q3WOS:0002847770000322-s2.0-78649947551Q3