Andrew Jordan reviews Peter Woit's Quantum Theory, Groups and Representations and finds much to admire.
Retired UCI math professor Steven Roman has just started making a series of Group Theory lectures on YouTube.
Retired UCI math professor Steven Roman has just started making a series of Group Theory lectures on YouTube. No prior experience in group theory is necessary. He’s the author of the recent Fundamentals of Group Theory: An Advanced Approach. 
He hopes to eventually also offer lectures on ring theory, fields, vector spaces, and module theory in the near future.
S. Roman, Fundamentals of Group Theory: An Advanced Approach, 2012th ed. Birkhäuser, 2011.
Peter Woit has just made the final draft (dated 10/25/16) of his new textbook Quantum Theory, Groups and Representations: An Introduction freely available for download from his website. It covers quantum theory with a heavy emphasis on groups and representation theory and
“contains significant amounts of material not well-explained elsewhere.”He expects to finish up the diagrams and publish it next year some time, potentially through Springer.
Download a pre-publication version of the book which will be published by Cambridge University Press. The book arises from notes of courses taught at the second year graduate level at the University of Minnesota and is suitable to accompany study at that level.