Customer Reviews

Regular Complex Polytopes

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Coxeter's book covers a wide field of finite group representations including the groups of quaternions which unfortunately he does not relate to the Exceptional Lie algebras E6,E7 and E8, that are of growing interest to particle physicists, by utilising the Mackay correspondence.There are good short sections on E6 and E8 in Ch 12 (called the Hessian and Witting polyhedra) but I found that too much depended on other references.I would also liked to have found a closer link between the Coxeter diagrams and those of Dynkin which are now classics.

It is said that H.S.M. Coxeter reinvented geometry for the 20th century.
This book is the reference they give for E_8 circle connection diagrams.
I have it checked out for two weeks,
two years is a more likely estimate.
There is a cheap substitute in "Regular Polytropes" from Dover:Regular Polytopes,
but it probably isn't the same...