Question

Is an SL-invariant rational function necessarily a quotient of two SL-invariant polynomials?

score 146 · Answer 1 · 2020-09-07 19:42:47

146

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Is an SL-invariant rational function necessarily a quotient of two SL-invariant polynomials?

Published on 07 Sep 2020 - 19:42

score 49 · Answer 2 · 2026-03-27 12:01:06

49

Views

invariant space, complex reflexion group

Published on 27 Mar 2026 - 12:01

score 152 · Answer 3 · 2020-09-25 22:59:41

152

Views

Confusion in Eisenbud's "Commutative Algebra"

Published on 25 Sep 2020 - 22:59

score 39 · Answer 4 · 2020-10-05 12:05:56

39

Views

Second Fundamental Theorem for $SO(m,n)$

Published on 05 Oct 2020 - 12:05

score 503 · Answer 5 · 2020-10-08 23:04:41

503

Views

How is this a group action on the polynomial ring? (Eisenbud Commutative Algebra page 29)

Published on 08 Oct 2020 - 23:04

score 87 · Answer 6 · 2020-10-12 15:25:29

87

Views

Classify all maps $f: (\mathbb{R}^d)^n \to \mathbb{R}^d$ such that $f(R x_1,\dotsc, R x_n) = R f(x_1,\dotsc, x_n)$ for all $R \in O(d)$

Published on 12 Oct 2020 - 15:25

score 135 · Answer 7 · 2020-10-18 22:46:25

135

Views

Proof of invariant lines of a linear differential system.

Published on 18 Oct 2020 - 22:46

score 169 · Answer 8 · 2020-10-23 14:03:11

169

Views

Invariance of $SO(3)$ Lie group when expressed via Euler angles

Published on 23 Oct 2020 - 14:03

score 209 · Answer 9 · 2026-03-27 02:36:06

209

Views

A subalgebra $A(X)^G$ of $G$-invariant functions on $X$ is finitely generated subalgebra where $G$ is a finite group.

Published on 27 Mar 2026 - 2:36

score 65 · Answer 10 · 2020-11-07 02:24:59

65

Views

A lemma (possibly of Atiyah) in a proof of the fundamental theorems of invariant theory

Published on 07 Nov 2020 - 2:24

score 490 · Answer 11 · 2026-03-27 00:58:12

490

Views

How to prove that the softmax function is not invariant under scalar multiplication.

Published on 27 Mar 2026 - 0:58

score 78 · Answer 12 · 2020-11-25 14:37:04

78

Views

Are SU(n) invariants necessarily non-commuting?

Published on 25 Nov 2020 - 14:37

score 158 · Answer 13 · 2026-03-25 19:10:42

158

Views

Help with an algebraic geometry result

Published on 25 Mar 2026 - 19:10

score 246 · Answer 14 · 2026-03-25 20:35:49

246

Views

Example of G-invariant ideal

Published on 25 Mar 2026 - 20:35

score 630 · Answer 15 · 2020-12-14 14:00:11

630

Views

How to prove a differential entropy is not scale invariant?

Published on 14 Dec 2020 - 14:00

List Question

Is an SL-invariant rational function necessarily a quotient of two SL-invariant polynomials?

invariant space, complex reflexion group

Confusion in Eisenbud's "Commutative Algebra"

Second Fundamental Theorem for $SO(m,n)$

How is this a group action on the polynomial ring? (Eisenbud Commutative Algebra page 29)

Classify all maps $f: (\mathbb{R}^d)^n \to \mathbb{R}^d$ such that $f(R x_1,\dotsc, R x_n) = R f(x_1,\dotsc, x_n)$ for all $R \in O(d)$

Proof of invariant lines of a linear differential system.

Invariance of $SO(3)$ Lie group when expressed via Euler angles

A subalgebra $A(X)^G$ of $G$-invariant functions on $X$ is finitely generated subalgebra where $G$ is a finite group.

A lemma (possibly of Atiyah) in a proof of the fundamental theorems of invariant theory

How to prove that the softmax function is not invariant under scalar multiplication.

Are SU(n) invariants necessarily non-commuting?

Help with an algebraic geometry result

Example of G-invariant ideal

How to prove a differential entropy is not scale invariant?

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