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)