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Answers

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1

What is the “fundamental theorem of invariant theory” ?

5

A basis of the symmetric power consisting of powers

2

Generate a higher degree symmetric polynomial from an existing one

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An expression with an alternating trilinear form, written in terms of the determinant and a symmetric bilinear form

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real symmetric matrix has real eigenvalues - elementary proof

9

Modern developments in finite-dimensional linear algebra

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What mathematical treatment is there on the renormalization group flow in a space of Lagrangians?

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Invariant polynomials for a product of algebraic groups

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Mathematicians whose works were criticized by contemporaries but became widely accepted later

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“Classical” consequences of Bezout’s theorem in dimensions $>2$

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What, precisely, does Klein’s Erlangen Program state?

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What should be offered in undergraduate mathematics that’s currently not (or isn’t usually)?

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New grand projects in contemporary math

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Invariants for the exceptional complex simple Lie algebra $F_4$

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Old books still used

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The Unreasonable Effectiveness of Physics in Mathematics. Why ? What/how to catch?

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Test functions with small support and nonnegative Fourier transform

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Computing the relations in invariant algebra

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2D Ising model partition function expansion

1

Fourier transform of $e^{it|\xi|^{\alpha}}$

7

which homogeneous polynomials split into linear factors?

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Tensor powers of the standard representation

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Reference request: a conjecture of Rota on positive functions of a random variable

2

The discriminant for the plane cubic curve

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Invariants of group action: SL_n acts simultaneously on m symmetric matrices

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Faa di Bruno’s formula for inverse functions ?

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Why the letter “p” for genus?

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Representing elements of U(N) or SO(N) by elementary rotations exp(i phi_n sigma_n)

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Asking for a Fourier inverse transform, which is related to stable laws

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Generalizing the Fundamental Theorem of Symmetric Polynomials