New posts in Symmetric Functions

$\Lambda = \varprojlim\Lambda_n$ (ring of symmetric functions)

Reflexive, symmetric, transitive, and antisymmetric

Proving an identity for complete homogenous symmetric polynomials

Solve : $x+y=2010$, $(\sqrt[3]{x}+\sqrt[3]{y})(\sqrt[3]{x}+11)(\sqrt[3]{y}+11)=2942$

If $\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}=1$, what can we say about $\frac{a^2}{b+c}+\frac{b^2}{c+a}+\frac{c^2}{a+b}$?

If $abc=1$ and $a,b,c$ are positive real numbers, prove that ${1 \over a+b+1} + {1 \over b+c+1} + {1 \over c+a+1} \le 1$.

Is there a General Formula for the Transition Matrix from Products of Elementary Symmetric Polynomials to Monomial Symmetric Functions?

Using irreducible characters of the orthogonal group as basis for homogeneous symmetric polynomials

Characters of orthogonal groups as symmetric functions

The vanishing of sum of coefficients: symmetric polynomials