"Lie Groups Beyond an Introduction, Second Edition", takes the reader
from the end of introductory Lie group theory to the threshold of
infinite-dimensional group representations. Merging algebra and analysis
throughout, the author uses Lie-theoretic methods to develop a beautiful
theory having wide applications in mathematics and physics. New to the
second edition, apart from revisions and updates throughout, are
chapters on branching theorems and prehomogeneous vector spaces, topics
of interest to mathematicians and physicists alike.