This document summarizes research on hybrid beamforming for millimeter wave (mmWave) communication systems. Hybrid beamforming combines analog and digital beamforming to address issues with using large antenna arrays for mmWave massive MIMO. It reduces hardware costs and complexity compared to all-digital approaches by using fewer radio frequency chains. The document discusses how hybrid beamforming exploits the sparse nature of mmWave channels to focus antenna gains on key propagation paths. It also reviews codebook-based and spatially sparse precoding techniques for hybrid beamforming mmWave systems. Overall, the document outlines how hybrid beamforming is a practical solution to implement large-scale antenna systems for 5G networks operating in the mmWave spectrum.