In mathematics, absolutely irreducible is a term applied to linear representations or algebraic varieties over a field. It means that the object in question remains irreducible, even after any finite extension of the field of coefficients. In both cases, being absolutely irreducible is the same as being irreducible over the algebraic closure of the ground field.
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Famous quotes containing the words absolutely and/or irreducible:
“If I weren’t reasonably placid, I don’t think I could cope with this sort of life. To be a diva, you’ve got to be absolutely like a horse.”
—Joan Sutherland (b. 1926)
“If an irreducible distinction between theatre and cinema does exist, it may be this: Theatre is confined to a logical or continuous use of space. Cinema ... has access to an alogical or discontinuous use of space.”
—Susan Sontag (b. 1933)