콕세터 군에서의 알고리즘

개요

• How to represent elements of the group?
• How to multiply two elements of a group?
• How to list elements of a group?

리뷰, 에세이, 강의노트

• Computing ShortLex rewite rules with Mathematica
• http://www.math.ubc.ca/~cass/coxeter/crm.html
• http://math.univ-lyon1.fr/~ducloux/coxeter/coxeter3/english/coxeter3_e.html
• 2002 CRM winter school on Coxeter groups

관련논문

• Casselman, Bill. “Computation in Coxeter Groups II. Minimal Roots.” arXiv:math/0209020, September 2, 2002. http://arxiv.org/abs/math/0209020.
• Casselman, Bill. "Computation in Coxeter groups—I. multiplication." the electronic journal of combinatorics 9.R25 (2002): 1. http://www.emis.ams.org/journals/EJC/Volume_9/PDF/v9i1r25.pdf
• W. Casselman, Machine calculations in Weyl groups, Inventiones mathematicae 116 (1994) 95{108