Spring 2016 McKay Seminar resources
Here are a few potential readings for the
Algebraic Representation Theory seminar in
Spring 2016, related to the McKay correspondence.
- A lovely intro in an Uppsala physics Masters Thesis by M. Lindh
-
A very elementary treatment in
notes by
Yi Sun, which was suggested by ...
-
Etingof et al's representation theory
notes
(see particularly, Exercises 3.24 and 5.5)
- Steinberg's paper on McKay's correspondence
-
Igor Dolgachev's
lecture notes on the geometric
McKay correspondence
-
Graham Leuschke's
lecture notes on McKay
-
Leuschke and Wiegand's follow-up
book
titled "Cohen-Macaulay representations"
(with Chapters 4,5,6,10 being most relevant)
- Bocklandt, Schedler and Wemyss'
paper
"Superpotentials and higher order derivations"
-
Stekolshchik's
book
on the combinatorics of Coxeter transformations, A-D-E
quivers, McKay correspondence, and the more general
Slodowy correspondence for the non-simply laced case.
- Ebeling's
paper
on the Hilbert series of the invariant ring
for binary polyhedral groups, and affine/finite
Weyl group Coxeter
transformations
- Two sources on dimer models, Calabi-Yau categories
and McKay:
-
A Wikipedia entry
on the McKay correspondence.
- Bernstein, Gelfand and Ponomarev's
paper proving Gabriel's
theorem on the finite type quivers of type A-D-E
- Buchweitz, Faber and Ingalls's
paper on "The magic square of reflections and rotations"
- McKay's original paper
"Graphs, singularities and finite groups", Proc. Symp. Pure Math.
(Amer. Math. Soc.) 37
- My notes from subbing for Gregg Musiker's Math 8680 on Nov. 11, 2024.
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