For 10 points, name these functions which consists of the sum of several terms with a variable raised to integer exponents.
Decompositions of a type of these things are found with the Littlewood-Richardson rule; that type is the characters of irreducible representations of general linear groups, are indexed by partitions, and are named for Schur. A method of proving the Cayley-Hamilton theorem is showing the minimal one of them divides another one of them. A Grobner basis is defined over an ideal over a ring of these things. Eisenstein names a criterion that tells when these things are irreducible. Algebraically closed fields have the property that these thingss associated with that field can be split into linear factors, and the Abel-Ruffini theorem proved that there is no general formula for solutions of these things of degree five or higher. For 10 points, name these functions which consists of the sum of several terms with a variable raised to integer exponents.
Decompositions of a type of these things are found with the Littlewood-Richardson rule; that type is the characters of irreducible representations of general linear groups, are indexed by partitions, and are named for Schur.
polynomial