Aaron Chan @ Nagoya

Translation

Mathematical terminologies used in representation theory: English, Japanese, Chinese
Additions and suggestions are welcomed!

Program

• Geometric model of linear Nakayama algebras (Experimental)
   ├ Draw the curves associated to modules over a linear Nakayama algebras on the disk model.
   └ Uses: Vanilla JS + Snap.svg
• Draw quiver from QPA output (Experimental)
   ├ As it says, plus simple manipulation of the quiver.
   └ Uses: Vanilla JS + Cytoscape.js
• Quasi-hereditary structure calculator (Provide upon request)
   ├ GAP program to caculate quasi-hereditary structure of a basic finite-dimensional algebra. (Much!) improved version of Baptist Rognerud's original.
   └ Uses: GAP + QPA package.
• String applet to QPA translator
   ├ Translate Jan Guenich's String Applet quiver data for input to QPA
   └ Uses: Vanilla JS
• QPA output to String Applet Translator
   ├ Display quiver from QPA nicely using String Applet (Now I will recommend to use this instead.
   └ Uses: Vanilla JS

Typed Lecture Notes

University of Aberdeen:
Comments and corrections to notes below will be appreicated.
-Seminar series on highest weight categories and quasi-hereditary algebras (Spring 2012) - organised by M. Stolorz and myself. DISCONTINUED
-Seminar series on étale cohomology (Fall 2011) - organised by P. Brito and J. Taylor.
-Derived equivalences of block algebras (Fall 2010) - lectured by Dr. SeJong Park

University of Cambridge:
| Lecture notes typeset for Cambridge Part III courses. Diagrams are usually omitted.
|-Part III 2009/2010 Lent term:
   |-Elliptic Curves (Good condition, no picture)
   |-Topics in Representation Theory (Good condition)
   |-Topics in Group Theory (not recommended to read)
|-Part III 2009/2010 Michealmas term:
   |-Algebraic Geometry (PostScript, with quite a few mistakes, no picture), alternatively, see Clemens' version note (see Link section), which is a much better enhanced version, but arranged rather differently from the way that it was taught.
   |-Algebraic Topology (Not recommended to read)
   |-Algebraic Number Theory(Good condition, missed a a few picture) Ch3 typeset by Alex Tao
   |-Lie groups, Lie Algebra and their Representation (Good condition with no diagram/picture)

Other notes

I do NOT guarantee the rigourousness of the following notes. These are some notes I typed up for myself during the course of learning different areas of Maths. (Almost) No references to the relevant papers are given. Corrections are appreciated!
(1) Some results on representation-finite self-injective algebras
(2) Definition and its equivalent form for cellularly stratified algebras
(3) Hecke algebras (of different adjectives) of type A
(4) Some results of Brundan-Stroppel's generalised Khovanov's arc algebra
(5) Summary on tau-tilting theory
(6) A guide to 2-representation theory