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Here are my notes for the lectures. The material on finite groups comes
alternatively from Joshi, Tinkham or Jones. The material on Lie graups
comes from Georgi and other sources.
My lecture notes are posted here, along with beamer (aka powerpoint)
Latexed Lectures are available in full format for easier on screen reading.
They are also given
reduced to two pages/side for more efficient printing. The dates of last
significant modification and of minor (typo) fixes are given, so you can
update your files if necessary.
Note material below the dividing line
is left over from 2016, and may be changed.
Here are the summaries I give of last lecture and preview of today's lecture
Here are some supplementary notes which may or may not be relevant ---
I have placed them here brought from other courses. Some of these may
be relevant, but most probably not.
There is a much larger set on the Supplementary
- Notes on using indices correctly.
This seems trivial, but I have seen
many students have difficulties.
- Notes on totally antisymmetric tensors, or Levi-Civita symbols,
in 3-D Euclidean space:
and in higher dimensional Euclidean or Minkowski space:
including their use with matrices and determinants. The
Levi-Civita symbol is also essential in curved spaces, but that is
for another course.
- Definitions in Abstract Algebra,
Ring, ring with unity, division ring, (mathematician's) field,
vector space, algebra.
- On differential forms. If you have not seen differential forms
before, you might want to look at
my notes from 507, pages 153-4 on 1-forms and pp 167-175 on
higher k-forms, or
They are discussed in advanced calculus texts, e.g.
Buck, "Advanced Calculus".
Last modified: Wed Apr 26 10:59:42 2017