
What appears below the dividing line is mostly the syllabus from 2016, and at best tentative. What is above the dividing line has been revised for 2017.
The readings listed are from my notes, listed by chapter names or numbers. Material below the line may be changed later, however.
Click on a date with a pale green background to get the introductory comments for the lecture
Date  Topic  Reading  

Cover and Table of Contents: view or print, pages 14  
L1  1/17  Symmetries and groups, subgroups, morphisms, measures  Groups: view or print, pages 717 
L2  1/20  conjugacy, cosets, C_{n}, normal subgroups, permutations, small groups  Groups, pages 1726 
L3  1/24  Representations, reducibility, Schur's first and second lemmas  Reps: view or print, pages 2534 
H1  1/26  Homework Assignment # 1: view or print.  
L4  1/27  Great Orthogonality Theorem, regular rep, characters, orthog on classes  Reps, pages 3441 
H2  2/2  Homework Assignment # 2: view or print.  
L5  1/31  Characters of D_{4}. Point and crystalographic groups. Direct products of reps.  Reps, pages 4148 
L6  2/3  Infinite Groups, Lie Groups, connectedness, generators, structure constants  Reps. pages 4956 Lie view or print. Pages 4756 
H3  2/7  Homework Assignment # 3: view or print.  
L7  2/7  Lie Algebra, group manifolds Adjoint rep, Killing form, semisimple, Poincaré group,  Lie pages 5664 
H4  2/16  Homework Assignment # 4: view or print.  
L8  2/10  Quantum Operators; SU(2): Cartan subalgebra; raising and lowering ops. Weights. Direct products  Lie pages 6466, SU(2) view or print. Pages 6771 
L9  2/14  Vector coupling coefs  SU(2) pages 7178 
L10  2/17  WignerEckhart; Isospin, Weight and root vectors, Angles between roots  SU(2): 7883, SS Compact: view or print, pages 8586 
L11  2/21  SU(3) GellMann matrices, quark and octet reps. Ordering roots.  SS Compact: pages 8793; SU(3): view or print, pages 9193 
H5  2/23  Homework Assignment # 5: view or print.  
L12  2/24  G_{2}, Dynkin Diagrams  Simple Roots view
or print, pages 9598 Dynkin: view or print, pages 99101 
L13  2/28  Finding the Other Roots. Irreducible Reps of Lie Groups  Dynkin 102104; OtherRoots: view or print, pages 105107 LieReps: view or print, pages 109110 
H6  3/2  Homework Assignment # 6: view or print.  
L14  3/3  Highest weights, fundamental reps, tensor methods  LieReps: pages 110116; 
Exam  3/7  Midterm Exam  Chapters 18 1/2, pp 5107. 
L15  3/10  SU(3) reps, dimensions; Group algebra, S_{k}  LieReps: pages 117119; PermReps: view or print, pages 121124 
L16  3/21  Young tableaux, S_{k} reps  PermReps: view or print, pages 124132 
H7  3/23  Homework Assignment # 7: view or print.  
L17  3/24  Representations of SU(N)  PermReps: 122128 
L18  3/28  Tensor products of SU(N) reps; Field Theory 
Tensor: view
or print, pages 129132 classMech: view or print, pages 18 
L19  3/31  Intro to Gauge groups, Gauge fields, field strength tensor  LocalSym: view or print, pages 133145 
L20  4/4  Gauge Invariance. Hamiltonian formulation  LocalSym: pages 142151 Hamil: view or print pages 147154 
H8  4/6  Homework Assignment # 8: view or print.  
L21  4/7  Canonical momenta, Left and Right derivative operators  Hamil: pp 154161 
Below this line is left over from 2016 and may change  
L22  4/11  Haar measure. Phonons, Bloch waves, SSB  Hamil: pp 161162; BlockSSB: view or print, pages 163166 
L23  4/14  SSB and the Higgs Mechanism  SSB and Higgs: view or print, pages 171173 
L24  4/18  The standard model  SSB and Higgs pp 173178 
L25  4/21  Fermions in the Standard Model  SSB and Higgs pp 178188 
L26  4/25  Poincare and SU(6); SUSY  PoinSUSY: view or print, pages 188192 
L27  4/28  Superfields  PoinSUSY: pages 193201 
Exam  5/4  Final Exam, noon  3:00, SEC room 206  Chapters 117 