Abelian
Definition, Meaning & Examples
Pronunciation /əˈbi.li.ən/ · Part of speech adjective
Quick meaning: Abelian is an adjective meaning (mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
Meaning
(mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
More Meanings
- (mathematics) Of a binary function, commutative.
Example Sentences
The interesting aspect here is that U₃ is irreducible, even though all irreps over the complexes are one-dimensional because ℤ₄ is abelian.
Related Words
Related dictionary entries include commutative, unitary, abelianized, quasiabelian, algebraizable, metabelian.
Related Dictionary Tools
Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
Dictionary data is provided by FreeDictionaryAPI.com and sourced from Wiktionary under its stated license.