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Representation theory of the Lorentz group by 
Ciro Santilli 37 Updated 2025-05-13 +Created 1970-01-01
Ciro Santilli 37 Updated 2025-05-13 +Created 1970-01-01Physics from Symmetry by Jakob Schwichtenberg (2015) page 66 shows one in terms of 4x4 complex matrices.
More importantly though, are the representations of the Lie algebra of the Lorentz group, which are generally also just also called "Representation of the Lorentz group" since you can reach the representation from the algebra via the exponential map.
Bibliography:
- Physics from Symmetry by Jakob Schwichtenberg (2015) chapter 3.7 "The Lorentz Group O (1, 3)"