Complete Homogeneous Symmetric Polynomial

Complete Homogeneous Symmetric Polynomial

In mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression in complete homogeneous symmetric polynomials.

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Complete Homogeneous Symmetric Polynomial - Properties - Relation With Symmetric Tensors
... Denote by Symk(V) its k-th symmetric tensor power and Msym(k) induced operator ... Similar one can express elementary symmetric polynomials via traces over antisymmetric tensor powers ... Both expressions are subsumed in expressions of Schur polynomials as traces over Schur functors ...

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