Algebra Associated with the Hasse Graphs of Polytopes

File(s)
Date
2018-03-12Author
Duffy, Collen M.
Holmes, Austin
Glover, Geoffrey
Jacobson, Tennie
Metadata
Show full item recordAbstract
There is a Hasse graph associated with each symmetry of every
n-dimensional polytope, and there is an algebra associated with each
Hasse graph. Our goal is to determine the structure of all of the algebras associated with finite Coxeter groups (consisting of 4 families and 6 exceptional groups) by determining all Hasse graph polynomials f(t).
Duffy and past student research groups have accomplished finding the Hasse graph polynomials for the algebras associated with the An; Bn; Dn; I2(p) families and H3. We are working on the 600-Cell (H4).
Methodology
Subject
Algebra
Polytopes
Hasse graph
Posters
Permanent Link
http://digital.library.wisc.edu/1793/78190Description
Color poster with text and charts.