Question

If $A \in \text{End}(\bigwedge^k \mathbb{R}^d)$ is a complex power, is it a real power up to a sign?

score 44 · Answer 1 · 2026-03-25 06:06:35

44

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If $A \in \text{End}(\bigwedge^k \mathbb{R}^d)$ is a complex power, is it a real power up to a sign?

Published on 25 Mar 2026 - 6:06

score 106 · Answer 2 · 2026-03-27 23:48:40

106

Views

Which subspaces of $\mathbb C^n$ are spanned by real vectors?

Published on 27 Mar 2026 - 23:48

score 693 · Answer 3 · 2019-01-29 16:05:34

693

Views

Pauli matrices span the set of $2 \times 2$ matrices over $\mathbb{C}$?

Published on 29 Jan 2019 - 16:05

score 372 · Answer 4 · 2026-03-25 03:21:22

372

Views

Can the total variation measure of a complex measure be related to its real and imaginary parts?

Published on 25 Mar 2026 - 3:21

score 444 · Answer 5 · 2026-03-28 16:56:26

444

Views

Complex number (finding range of values)

Published on 28 Mar 2026 - 16:56

score 557 · Answer 6 · 2019-01-30 04:49:06

557

Views

Find the complex numbers $z$ such that $w=\frac{2z-1}{2+iz}$ is real

Published on 30 Jan 2019 - 4:49

score 75 · Answer 7 · 2019-01-30 12:27:37

75

Views

Is $\sqrt{-i \sqrt{5}}=-i\sqrt[4]{-5}$?

Published on 30 Jan 2019 - 12:27

score 41 · Answer 8 · 2019-01-30 15:21:03

41

Views

Elementary inequality proof $2|tx|\leq |x^2|+|t^2|$

Published on 30 Jan 2019 - 15:21

score 3.7k · Answer 9 · 2019-01-30 15:21:06

3.7k

Views

Negative modulus in complex numbers?

Published on 30 Jan 2019 - 15:21

score 703 · Answer 10 · 2019-01-30 22:15:35

703

Views

Condition for Having Complex Roots in Polynomial Equations

Published on 30 Jan 2019 - 22:15

score 582 · Answer 11 · 2019-01-31 02:56:26

582

Views

The Relationship Between Real and Complex Numbers

Published on 31 Jan 2019 - 2:56

score 94 · Answer 12 · 2026-03-25 07:43:10

94

Views

Are $\mathbb{C}$ and $\mathbb{H}$ the only continuous number systems over $\mathbb{R}^{2}$ and $\mathbb{R}^{4}$ respectively?

Published on 25 Mar 2026 - 7:43

score 1.3k · Answer 13 · 2026-03-23 21:50:44

1.3k

Views

What is the nature of $e^{ix}$, real or complex?

Published on 23 Mar 2026 - 21:50

score 89 · Answer 14 · 2019-01-31 09:43:18

89

Views

Find all possible values of $x$ if $\frac{\sin\frac{x}{2}+\cos\frac{x}{2}-i\tan x}{1+2i\sin\frac{x}{2}}$ is real

Published on 31 Jan 2019 - 9:43

score 46 · Answer 15 · 2019-01-31 10:25:09

46

Views

What is $\frac{z_1+z_2}{z_1−z_2}$ if $z_1,z_2\in\mathbb{C}$, such that $z_1\neq z_2,|z_1|\neq|z_2|$

Published on 31 Jan 2019 - 10:25

List Question

If $A \in \text{End}(\bigwedge^k \mathbb{R}^d)$ is a complex power, is it a real power up to a sign?

Which subspaces of $\mathbb C^n$ are spanned by real vectors?

Pauli matrices span the set of $2 \times 2$ matrices over $\mathbb{C}$?

Can the total variation measure of a complex measure be related to its real and imaginary parts?

Complex number (finding range of values)

Find the complex numbers $z$ such that $w=\frac{2z-1}{2+iz}$ is real

Is $\sqrt{-i \sqrt{5}}=-i\sqrt[4]{-5}$?

Elementary inequality proof $2|tx|\leq |x^2|+|t^2|$

Negative modulus in complex numbers?

Condition for Having Complex Roots in Polynomial Equations

The Relationship Between Real and Complex Numbers

Are $\mathbb{C}$ and $\mathbb{H}$ the only continuous number systems over $\mathbb{R}^{2}$ and $\mathbb{R}^{4}$ respectively?

What is the nature of $e^{ix}$, real or complex?

Find all possible values of $x$ if $\frac{\sin\frac{x}{2}+\cos\frac{x}{2}-i\tan x}{1+2i\sin\frac{x}{2}}$ is real

What is $\frac{z_1+z_2}{z_1−z_2}$ if $z_1,z_2\in\mathbb{C}$, such that $z_1\neq z_2,|z_1|\neq|z_2|$

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