The Classification of Compact Hyperbolic Coxeter d-Polytopes with d+2 Facets
by Frank Esselmann
Abstract:
This paper provides a list of all
compact hyperbolic Coxeter polytopes the combinatorial type
of which is the product of two simplices of dimension greater than 1.
Combined with results of Kaplinskaja
this completes the classification of compact hyperbolic Coxeter d-polytopes
with d+2 facets.
Key words and phrases:
compact hyperbolic Coxeter polytope, hyperbolic reflection group.
1991 Mathematics Subject Classification: Primary 20H15; Secondary 57S30, 51F15.
Available as
- Published in Comment. Math. Helvetici 71 (1996), 229-242.
Contact: Frank.Esselmann@Mathematik.Uni-Dortmund.DE