1. Symmetric algebraIn mathematics, the symmetric algebra S(V) (also denoted Sym) on a vector space V over a field K is the free commutative unital associative algebra over K containing V. It corresponds to polynomials with indeterminates in V, without choosing coordinates. The dual, corresponds to polynomials on V. It should not be confused with symmetric tensors in V. A Frobenius algebra whose bilinear form is symmetric is also called a symmetric algebra, but is not discussed here.
Read “Symmetric algebra” on English Wikipedia
Read “対称代数” on Japanese Wikipedia
Read “Symmetric algebra” on DBpedia
Read “Symmetric algebra” on English Wikipedia
Read “対称代数” on Japanese Wikipedia
Read “Symmetric algebra” on DBpedia
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