Finite Reflection Groups

Kenneth S. Brown
Additional contact information
Kenneth S. Brown: Cornell University, Department of Mathematics

Chapter I in Buildings, 1989, pp 1-32 from Springer

Abstract: Abstract This book is about connections between groups and geometry. We begin by considering groups of isometries of Euclidean space generated by hyperplane reflections. In order to avoid technicalities in this introductory chapter, we confine our attention to finite groups and we require our reflections to be with respect to linear hyperplanes (i.e., hyperplanes passing through the origin). We will generalize this in Chapter VI, replacing “finite” by “discrete” and “linear” by “affine”.

Keywords: Root System; Simplicial Complex; Weyl Group; Cell Decomposition; Reflection Group (search for similar items in EconPapers)
Date: 1989
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1019-1_1

Ordering information: This item can be ordered from
http://www.springer.com/9781461210191

DOI: 10.1007/978-1-4612-1019-1_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().