Location and Time: Vincent Hall 313, 2:30-3:20 MWF
Lecturer: Professor Dennis Stanton, Vincent Hall 253, 612-624-7544
Office Hours MWF 10:10-11:00
Texts: "Reflection Groups and Coxeter Groups", by J. Humphreys
"Combinatorics of Coxeter Groups", by A. Bjorner and F. Brenti
Other recommended reading:"Reflection groups and invariant theory" by
R. Kane
"Groupes et algebres de Lie", Chap. 4,5,6 by Bourbaki
e-mail address: stanton@math.umn.edu
web address: http://www.math.umn.edu/~stanton
Math Office: Vincent Hall 115, 625-4848
Topics: I will cover the introductory material on Coxeter groups and finite reflection groups, this is Chapters 1,2 of [B-B], Chapters 1,2,6 of [H]. This includes the subword order, coset representatives, and the classification of finite Coxeter groups. We will cover poset properties and enumeration questions in Chapters 3,7 of [B-B], and K-L results as time permits.
Grading and Exams: Each student will either present a paper related to Coxeter groups or turn in correct solutions to an appropriate number of homework problems. There will be no exams.