Lie Algebras and Lie Groups: 1964 Lectures Given at Harvard University |
Contents
Free Lie Algebras | 4-1 |
Nilpotent and Solvable Lie Algebras | 5-1 |
Semisimple Lie Algebras | 6-1 |
Copyright | |
4 other sections not shown
Common terms and phrases
abelian absolute value algebra homomorphism analytic function analytic group analytic group chunk associative algebra assume ball of radius bijection bilinear Bourbaki Campbell-Hausdorff formula canonical coefficients commutative convergent in Po(r Corollary defined Definition denote diagonal disjoint union eigenvector endomorphism equivalent exists finite dimensional follows formal group law formal power series G₁ G₂ GL(n GL(V group homomorphism group submanifold H₁ H₂ Hence ideal immersion induction irreducible isomorphism k-module Lemma Let f Let G Lie algebra Lie group Lie's theorem linear form locally compact manifold structure matrices module morphism multiplication nilpotent non-zero open neighborhood p-adic polynomial primitive element Proof prove representation resp ring satisfies semisimple solvable statement subgroup of G subimmersion submanifold submanifold of G submersion subspace Suppose surjective Theorem topological group ultrametric unique V₁ vector space zero α α ед