In mathematics, a Coxeter element is an element of an irreducible Coxeter group formed as a product of all of the group's simple reflections; the specific element produced depends on the order in which the reflections are multiplied, but every such ordering yields conjugate elements sharing the same order, called the Coxeter number of the group. Coxeter elements are named after the British-Canadian geometer H. S. M. Coxeter, who introduced Coxeter groups in 1934 as an abstraction of reflection groups. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Origin YearCoxeter introduced the groups in 1934 as abstractions of reflection groups Classification
Object KindStructure or Algebraic Object 1 Connections
Is Kind Of Object
Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.
Sources
1. Coxeter Element (Wikipedia)
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