Editing Standard basis (section)

==Other usages==
The existence of other 'standard' bases has become a topic of interest in [[algebraic geometry]], beginning with work of [[W. V. D. Hodge|Hodge]] from 1943 on [[Grassmannian]]s. It is now a part of [[representation theory]] called ''standard monomial theory''. The idea of standard basis in the [[universal enveloping algebra]] of a [[Lie algebra]] is established by the [[Poincaré–Birkhoff–Witt theorem]].

[[Gröbner basis|Gröbner bases]] are also sometimes called standard bases.

In [[physics]], the standard basis vectors for a given Euclidean space are sometimes referred to as the [[Versor (physics)|versors]] of the axes of the corresponding Cartesian coordinate system.