Mon Feb 7 2000
* go over homework
* survey of readings (Dogschool Housekeeping chapter, Joyner's notes chap 0,1)
* brief discussion of logic and sets
* lemma, theorem, corollary
* discuss "equivalence relation"
* defined "conjugate" - see assignment.
-- didn't do this stuff yet ----------------
* discuss permuations: disjoint cycles, cycle notation, why even/odd?
* right-left vs left-right ordering of a*b*c
("recipe" vs "function composition")
* continuous groups: manifolds, lie groups, transformations of space-time
* homomorphism
* "representation" of a group: homomorphic matrix group
(1) rotations in 2D, 3D
(2) boosts in 2D, 3D
(3) Lorentz group (3 rotations + 3 boosts)
(4) Poincare group (6 lorentz + 4 translations)