Math 2.0

Concept

Sqb2

Summary

Closed interval: if aa and bb are real numbers such that a≤ba\le b, then [a,b][a,b] denotes the closed interval defined by them.

Commutator (group theory): if aa and bb belong to a group, then [a,b]=a−1b−1ab[a,b]=a^{-1}b^{-1}ab.

Commutator (ring theory): if aa and bb belong to a ring, then [a,b]=ab−ba[a,b]=ab-ba.

Denotes the Lie bracket, the operation of a Lie algebra.

Further reading

  1. Wikipedia, page 73634, revision 1376316324, Glossary of mathematical symbols, section Brackets > Square brackets. adopted
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Changed4 November 2026

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