Lecture 9. Supertrace and Superdeterminant

  1. 00:16Recall Change of Variables Formula
  2. 22:30General Formula for Berezinian of Even Supermatrices
  3. 25:50Special Cases
  4. 31:40Algebraic Digression: Understanding Superdeterminant and Supertrace
  5. 46:24Recall Ordinary Trace and Determinant. Liouville Formula
  6. 58:40Theorem (Characterization of Determinant)
  7. 01:03:18Theorem (Characterization of Trace)
  8. 01:11:40General Approach to Supertrace and Superdeterminant
  9. 01:18:18Characterization of Supertrace
  10. 01:20:40Characterization of Superdeterminant