Casselman's Papers

From the way things are going now, it looks as if setting myself the goal of understanding the results of Casselman's work with Coxeter Groups and their Automatic Structures will be a good one for my thesis. If I manage to do more that will be nice. I am hoping that before this semester ends, I will be able to understand the results of the following papers and show how they can be used in building Coxeter group Cayley Graphs.

I have done some teXing. I'll post it in due time. Meanwhile, the following papers are where I would like to be by the time this semester ends:
(for the third link, I am referring to the second paper on the page)

Casselman Paper 1
Casselman Paper 2
Automata to perform basic Calculations in Coxeter groups

Sources

Here are the sources I'm using so far; where possible I will try to post links to the pdf files for some of the articles. For others, I'll post links to their Journals' websites. I won't be using all the materials from the sources below .... just what I need as when when I need it.

General Introduction to (Coxeter) Groups

• Combinatorics of Coxeter Groups, Anders Bjorner & Francesco Brenti (2000)
  
• Reflection Groups and Coxeter Groups, James E. Humphreys (1990)
• Introduction to Coxeter Groups, Robert B. Howlett

Infinite Groups, Automatic Groups, Regular Languages, Automata etc.

• GROUPS , GRAPHS & TREES : An Introduction to the Geometry of Infinite Groups, John Meier (2007)
• Word Processing in Groups, David B. A. Epstein, J. W. Cannon, D. F. Holt, S. V.F Levy, M.S. Paterson, W.P. Thurston (1992)
• The Use of Knuth-Bendix methods to solve the word problem in Automatic groups, Journal of Symbolic Computation D. B. A. Epstein, D. F. Holt, S. E. Rees (1991) (available on request)
  
• The Warwick Automatic Groups Software , D. F. Holt (1994)

I don't know what category the rest of my sources fall in. They do however play significant roles in giving me material for the thesis.

• Regular Polytopes, H.S.M. Coxeter (1973)
• Cells in Coxeter Groups , Paul E. Gunnels
  
• The Cayley Graphs of Coxeter and Artin Groups , Carl Droms and Herman Servatius (1993)
• A Transducer Approach to Coxeter Groups , Fokko du Cloux (1999)
• Computation in Coxeter Groups , Bill Casselman (2001ish)

If I was doing this in graduate school ... I would probably be using this book. I have it in my possession but I doubt I will actually get around to using it:

• The Geometry and Topology of Coxeter Groups , Michael Davis (2007)