# Bruhat decomposition

> decomposition of a reductive algebraic group over an algebraically closed field as a disjoint union of double cosets of a Borel subgroup parameterized by the elements of the Weyl group

**Wikidata**: [Q4978699](https://www.wikidata.org/wiki/Q4978699)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Bruhat_decomposition)  
**Source**: https://4ort.xyz/entity/bruhat-decomposition