Canonical basis
From Wikipedia, the free encyclopedia
In mathematics, the notion of canonical basis refers to a basis of an algebraic structure which is canonical in a sense that depends on the precise context:
- In a coordinate space, and more generally in a free module, it refers to the standard basis defined by the Kronecker delta.
- In a polynomial ring, it refers to its standard basis given by the monomials, (Xi)i.
- For finite extension fields, it means the polynomial basis.
- In representation theory, Lusztig's canonical basis and closely related Kashiwara's crystal basis in quantum groups and their representations (cf. Littelmann path model).
[edit] See also
 |
This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. |
