Kasparov’s KK-theory

Supporting Lie-algebra proofs

Local proofs for the root decomposition, root arithmetic and Serre presentation used by Lesson 18.

• Finite Lie-algebra tools for the receiving editions
• The Killing form and Cartan's criteria
• The root space decomposition of a semisimple Lie algebra
• Root systems and their Weyl groups
• The isomorphism theorem and Serre's theorem