List questions from symmetric-functions

66

Views

Is any function on $(\mathbb S^1)^4$ which is invariant under isometries, invariant under permutations?

Published on 11 Jun 2022 - 14:31

42

Views

Is any $S_4$-invariant function also $S_6$ invariant?

Published on 12 Jun 2022 - 17:15

30

Views

A square is a critical point of any isometric-invariant permutation-invariant function

Published on 16 Jun 2022 - 16:46

140

Views

Symmetric pairing functions?

Published on 27 Jun 2022 - 9:08

46

Views

How to formulate the symmetry in Ramsey's theorem for $c$ colours?

Published on 27 Jun 2022 - 18:59

76

Views

Finding Solutions to a Symmetric Non-Linear Equation (for Some Cases Beside $x = y = z$)

Published on 04 Jul 2022 - 8:24

93

Views

Strange property of the functional equation $f(x+y)=ax+by$.

Published on 23 Feb 2026 - 9:51

61

Views

algebraic binary operations that are associative and nice in a way.

Published on 03 Aug 2022 - 4:39

95

Views

What's the meaning of setting a power symmetric polynomial to a given value

Published on 04 Sep 2022 - 8:08

24

Views

Image of permutations $\lambda$ with $l(\lambda) \leq 2$ under RSK

Published on 12 Sep 2022 - 19:20

99

Views

Filling in the gap of a proof of the Fundamental Theorem of Symmetric Polynomials.

Published on 16 Sep 2022 - 21:51

82

Views

Does this 3D function need to be symmetric for $\frac {\partial f(x,y)}{\partial x}= |\frac {\partial f(x,y)}{\partial y}|$ for all $x < y$?

Published on 20 Sep 2022 - 12:28

104

Views

Is there a symmetric real valued function on ${\mathbb R}^n$ that lies between sum and product?

Published on 24 Sep 2022 - 15:36

68

Views

Equivalent symmetric sums proof

Published on 26 Sep 2022 - 14:09

91

Views

Prove that this differential equation has reflective symmetric about a line

Published on 07 Oct 2022 - 3:12

List Question

Is any function on $(\mathbb S^1)^4$ which is invariant under isometries, invariant under permutations?

Is any $S_4$-invariant function also $S_6$ invariant?

A square is a critical point of any isometric-invariant permutation-invariant function

Symmetric pairing functions?

How to formulate the symmetry in Ramsey's theorem for $c$ colours?

Finding Solutions to a Symmetric Non-Linear Equation (for Some Cases Beside $x = y = z$)

Strange property of the functional equation $f(x+y)=ax+by$.

algebraic binary operations that are associative and nice in a way.

What's the meaning of setting a power symmetric polynomial to a given value

Image of permutations $\lambda$ with $l(\lambda) \leq 2$ under RSK

Filling in the gap of a proof of the Fundamental Theorem of Symmetric Polynomials.

Does this 3D function need to be symmetric for $\frac {\partial f(x,y)}{\partial x}= |\frac {\partial f(x,y)}{\partial y}|$ for all $x < y$?

Is there a symmetric real valued function on ${\mathbb R}^n$ that lies between sum and product?

Equivalent symmetric sums proof

Prove that this differential equation has reflective symmetric about a line

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