Turkish Journal of Mathematics
Abstract
Let $F$ be the free metabelian associative algebra generated by $x$ and $y$ over a field of characteristic zero. We call a polynomial $f\in F$ symmetric, if $f(x,y)=f(y,x)$. The set of all symmetric polynomials coincides with the algebra $F^{S_2}$ of invariants of the symmetric group $S_2$. In this paper, we give the full description of the algebra $F^{S_2}$.
DOI
10.55730/1300-0098.3233
Keywords
Metabelian, symmetric polynomial
First Page
1809
Last Page
1813
Recommended Citation
FINDIK, ŞEHMUS
(2022)
"Symmetric polynomials in the free metabelian associative algebra of rank 2,"
Turkish Journal of Mathematics: Vol. 46:
No.
5, Article 12.
https://doi.org/10.55730/1300-0098.3233
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss5/12
