What does abelian mean?
Abelian means (mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation..
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/əˈbi.li.ən/ · adjective
(mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation..
The interesting aspect here is that U₃ is irreducible, even though all irreps over the complexes are one-dimensional because ℤ₄ is abelian.
Use abelian when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Abelian means (mathematics) Of an algebraic structure (usually a group or algebra), having a commutative defining operation..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
The interesting aspect here is that U₃ is irreducible, even though all irreps over the complexes are one-dimensional because ℤ₄ is abelian.
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