Representation Theory and Complex Geometry

Rating:
Summary: a nice blend of mathematics
Review: it's not at all easy-going, but admittedly, it is probably the best way to learn some of the most stimulating and illuminating interactions between representation theory, symplectic geometry, algebraic geometry, and algebra;
a nice compliment to this book is 'symplectic fibrations and mutliplicity diagrams' by Guillemin et al.

other perspectives in ring theory from a geometric point of view (which could serve as yet another compliment) is Broho's 'nilpotent orbits, primitive ideals and characteristic classes'

no doubt, the advanced graduate student and professional mathematician would do well in, at least, taking a peek at the contents and the extensive introduction to whet his appetite and peak his curiousity!