Flag Varieties, K-Theory, and Harmonic Polynomials
In this chapter we study some further properties of general complex semisimple groups. Most of the results of the result of the chapter play a crucial role in the representation theory of semisimple groups and Lie algebras. We have tried to assemble and give complete proofs for all those results that are, on the one hand, considered “too advanced” to be included in elementry text books on Lie algebras and, on the other hand are regarded as not part of representation theory itself. These latter results are generally assumed as prerequisites–not to be explained–in any advanced book on representation theory.