Lecture 17. AKS-Method. Full Symmetric Toda System

  1. 00:16AKS Lemma 1
  2. 12:01AKS Lemma 2
  3. 28:57Full Symmetric Toda System
  4. 32:37Theorem (Functions in Involution With Respect to the Poisson-Lie Structure in the Subalgebra gl(n))
  5. 44:00Gelfand-Tsetlin Approach
  6. 56:06Lemma (Coefficients of Functions are in the Center of the Lie Algebra)