Lecture 10. Berezinian (Axiomatic Approach, Relation with Supertrace)

  1. 00:16Recap
  2. 04:33Axioms That Define Berezinian
  3. 09:40Theorem (Ber is Uniquely Defined)
  4. 21:20Remark
  5. 24:40Supertrace
  6. 27:45Theorem (Supertrace Is Uniquely Defined by the Property str([A,B])=0)
  7. 33:17Remark
  8. 36:06Relation of Berezinian and Supertrace
  9. 44:13Theorem (Super-Liouville Formula)
  10. 55:55Remark
  11. 58:30Baker–Campbell–Hausdorff Formula
  12. 01:14:50Remark (Polynomial Invariants of Supermatrices)