List questions from symmetric-polynomials

Published on 29 Jun 2016 - 13:38

948

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Simple proof of Newton identities

Published on 30 Jun 2016 - 10:49

544

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Special case of Pieri-Rule

Published on 25 Mar 2026 - 17:24

228

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Polynomial identity in positive terms, including AM-GM bound

Published on 03 Jul 2016 - 17:12

349

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Galois Theory References

Published on 06 Apr 2013 - 2:31

523

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Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$

Published on 27 Apr 2013 - 15:51

142

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How to compute the weights of $\Gamma_{3,1}$ the irrep of $\mathfrak{sl}_3\Bbb C$

Published on 27 Apr 2013 - 20:02

5.9k

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Verifying a proof that if $x,y,z \geq 0$ and $x+y+z = 1$, then $0 \le xy + yz + zx - 2xyz \le \frac{7}{27}$

Published on 27 Apr 2013 - 22:08

1.7k

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Solution to a system of symmetric equations: $(x+y)^2 + (x+z)^2 = \frac{2}{3} \lambda x$ etc.

Published on 02 May 2013 - 6:40

1k

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Derivative of Schur function

Published on 29 Mar 2026 - 22:34

1.1k

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Decomposition of products of monomial symmetric polynomials into sums of them

Published on 26 Mar 2026 - 12:08

165

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A simple 2 grade equations system

Published on 22 May 2013 - 18:12

45

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Are the coefficients of $\text{minpoly}(\alpha + \beta)$ polynomials in the coefficients of $\text{minpoly}(\alpha)$ and $\text{minpoly}(\beta)$?

Published on 26 May 2013 - 16:42

270

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Is there a simpler approach to these system of equations?

Published on 27 May 2013 - 3:02

103

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How to prove this symmetric polynomial equations?

Published on 04 Jun 2013 - 3:51

List Question

Symmetric sum of powers

Simple proof of Newton identities

Special case of Pieri-Rule

Polynomial identity in positive terms, including AM-GM bound

Galois Theory References

Computing eigenvalues for $\mathrm{Sym}^2(\mathrm{Sym}^3 V))$ for $V = \Bbb C^2$

How to compute the weights of $\Gamma_{3,1}$ the irrep of $\mathfrak{sl}_3\Bbb C$

Verifying a proof that if $x,y,z \geq 0$ and $x+y+z = 1$, then $0 \le xy + yz + zx - 2xyz \le \frac{7}{27}$

Solution to a system of symmetric equations: $(x+y)^2 + (x+z)^2 = \frac{2}{3} \lambda x$ etc.

Derivative of Schur function

Decomposition of products of monomial symmetric polynomials into sums of them

A simple 2 grade equations system

Are the coefficients of $\text{minpoly}(\alpha + \beta)$ polynomials in the coefficients of $\text{minpoly}(\alpha)$ and $\text{minpoly}(\beta)$?

Is there a simpler approach to these system of equations?

How to prove this symmetric polynomial equations?

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