The most elementary and at the same time most comprehensive
introduction to
Classical Integrable Models from the
algebraic point of view that we are interested in is given in
the textbook
Solitons:
Differential equations, symmetries and infinite dimensional algebras,
by T Miwa, M Jimbo and E Date
The authors of this book are not only top world class mathematicians,
but they have also played a very central role in the development of
the subject. To be as concrete as possible, the lectures will closely
follow the above textbook.
If you plan to take this course for credit and/or seriously wish to
learn the subject, it is highly recommended that you buy the textbook.
A copy can be bought online for less than A$70.00 (including shipping).
You may also consider buying a a new copy at a reduced price or a used
copy (usually in very condition) from one of the following
Solitons by Miwa, Jimbo and Date, at (possibly) reduced prices
In my experience, it takes between one and two weeks to receive
(most) books that are shipped from the Europe or the US. Alibris
is
particulary fast, and I have received (many) books
from them within a week of order (faster than I had the chance
to go from my office to the maths library!). Note that the prices
quoted in the above link are in Australian dollars (with the current
exchnage rates, it is not a bad time to buy books online!).
A copy of the textbook will be on reserve in the Maths and Stats
library. Students will need to take notes in the lectures and also
to consult the textbook.
The book was originally written in Japanese and quite a few typos
crept into the English translation. Most of these are obvious. Some
are not. A list of all known typos are made available in
Typos. I have confirmed with the authors
that these are indeed typos!
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