Consequences of Degree n + 2 of the Standard Polynomial of Degree n

Let https://www.w3.org/1998/Math/MathML"> s n - - ∑ σ ∈ S n ( s i g n σ ) x σ ( 1 ) ... x σ ( n ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429332630/bdf2b6ad-8ca8-4d57-9bb0-ce1a8aabf4d0/content/inline-math113.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> be the standard polynomial of degree n. In characteristic zero, we have found all consequences of degree n+2 of s_n and we have calculated the S_{n +2}-character of the T-ideal generated by this polynomial.

Abstract