Definition
The power sum symmetric polynomial of degree k in variables x1, ..., xn, written pk for k = 0, 1, 2, ..., is the sum of all kth powers of the variables. Formally,
The first few of these polynomials are
Thus, for each nonnegative integer, there exists exactly one power sum symmetric polynomial of degree in variables.
The polynomial ring formed by taking all integral linear combinations of products of the power sum symmetric polynomials is a commutative ring.
Read more about this topic: Power Sum Symmetric Polynomial
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