Picture Library: Page History

Arun Ram
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3010 Australia
aram@unimelb.edu.au

Last updates: 22 January 2014

Please click here to access the content of this page.

Page history:

1. 13/02/2012
• First draft version of page created. Contains template commutative square and diamond, a big commutative diagram, two lattices and an incomplete MV Polytope diagram; and some specific example diagrams from Morphisms and Products -- Richard Hughes.
2. 16/02/2012
• Second draft version of page created. MV Polytope diagram completed -- Richard Hughes.
3. 19/02/2012
• Diagrams added from The folding algorithm and the intersections $U^{-}vI\cap IwI$ -- Richard Hughes.
4. 23/02/2012
• Template added to aim creation of column strict tableau -- Richard Hughes.
5. 26/02/2012
• Square lattice template added -- Richard Hughes.
6. 28/02/2012
• Examples added from Root operators -- Richard Hughes.
7. 07/03/2012
• Example added: Picture of the action of $W$ on $\frac{{𝔥}^{*}}{ℂS}$ for ${\widehat{\mathrm{𝔰𝔩}}}_2$ -- Richard Hughes.
8. 08/03/2012
• Examples added from An Introduction to Tor: Definitions and Properties -- Richard Hughes.
9. 12/03/2012
• Examples added from Double affine braid groups and Hecke algebras of classical type, including a picture of the full twist not found in the website notes -- Richard Hughes.
10. 13/03/2012
• Examples added from Reflection groups and braid groups -- Richard Hughes.
11. 18/03/2012
• Examples added from Spectral subalgebras -- Richard Hughes.
12. 20/03/2012
• Added template for diagram notation of elements of the symmetric group (note: this may not look like much as a template, but the code makes an excellent snippet if your file has a lot of $S_n$ computations in it) -- Richard Hughes.
13. 05/04/2012
• Examples added from Presenting the Affine Hecke algebra -- Richard Hughes.
14. 10/04/2012
• Examples added from A folding example -- Richard Hughes.
15. 14/06/2012
• Example added from Covers, subgroups and ramifications -- Richard Hughes.
16. 26/06/2012
• Example added from The affine Weyl group -- Richard Hughes.
17. 27/06/2012
• Example added from The ring $\mathbb{Z}{\left[P\right]}^W$ -- Richard Hughes.
18. 02/07/2012
• Examples added from The affine Hecke algebra -- Richard Hughes.
19. 30/07/2012
• Examples added from Cartan Matrices and Dynkin Diagrams -- Gil Azaria.
20. 25/09/2012
• Examples added from Weight lattices -- Gil Azaria.
21. 28/09/2012
• Examples added from The positive formula -- Gil Azaria.
22. 11/10/2012
• Examples added from the Brazil Algebra Conference series -- Gil Azaria.
23. 15/11/2012
• Select pictures added from sections 2-8 of "Affine Hecke algebras and generalized standard Young tableux" -- Gil Azaria.
24. 17/11/2012
• Added pictures from "Type $G_2$" -- Gil Azaria.
25. 22/2/2013
• Added pictures from "The Pieri-Chevalley formula" -- Gil Azaria.
26. 4/3/2013
• Added pictures from the preprint "Skew shape representations are irreducible" -- Gil Azaria.
27. 16/3/2013
• Added pictures from "Type $A_1$", "Type $A_2$" and "Type $C_2$" -- Gil Azaria.
28. 20/3/2013
• Added pictures from "Geometry of Type $C_2$" -- Gil Azaria.
29. 27/3/2013
• Added pictures from "Geometry of Type $G_2$" -- Gil Azaria.
30. 4/4/2013
• Added pictures from "Classification for $A_1$", "Classification for $A_2$", "Classification for $C_2$" and "Classification for $G_2$" -- Gil Azaria.
31. 23/4/2013
• Added pictures from the paper Partition Algebras -- Gil Azaria.
32. 29/4/2013
• Added pictures from the paper Representations of graded Hecke algebras -- Gil Azaria.
33. 12/5/2013
• Added pictures from van der Lek's PHd Thesis -- Gil Azaria.
34. 21/5/2013
• Added pictures from "Representation Theory Lecture 17" -- Gil Azaria.
35. 2/6/2013
• Added pictures from "The Fano plane as a flag variety" and "Incidences and projective geometries" -- Gil Azaria.
36. 3/7/2013
• Added pictures from "Notes on Schubert Polynomials - I.G. Macdonald" -- Gil Azaria.
37. 15/7/2013
• Added pictures from sections 10 and 11 of "Lectures on Chevalley groups - Robert Steinberg" -- Gil Azaria.
38. 11/10/2013
• Added pictures from lectures given Rome in 2005 -- Gil Azaria.
39. 23/10/2013
• Added pictures from the section "The center of the affine and degenerate affine BMW algebras" from the paper Affine and degenerate affine BMW algebras: Actions on tensor space by Zajj Daugherty, Arun Ram and Rahbar Virk -- Gil Azaria.
40. 6/11/2013
• Added pictures from "Representation theory Lecture Notes: Chapter 2" by Arun Ram -- Gil Azaria.
41. 30/12/2013
• Added pictures from "Affine Braids, Markov Traces and the Category $𝒪$" by Rosa Orellana and Arun Ram -- Gil Azaria.
42. 22/1/2014
• Added pictures from section 2 of "Classification of graded Hecke algebras for complex reflection groups" by Arun Ram and Anne V. Shepler. -- Gil Azaria.