Question

Proof verification: The adjoint representation of a Lie group is smooth

score 85 · Answer 1 · 2026-04-12 16:00:23

85

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Proof verification: The adjoint representation of a Lie group is smooth

Published on 12 Apr 2026 - 16:00

score 85 · Answer 2 · 2026-04-16 13:25:16

85

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Proving that $1, z, \ldots, z^m$ is linearly independent in $P_m (F)$

Published on 16 Apr 2026 - 13:25

score 233 · Answer 3 · 2026-04-17 11:49:06

Consider the function $f(x) = \frac{\text{max}\space (x, \frac {1}{x})}{\text{min}(x, \frac 1x)}$ when $x ≠ 0;$ $f(x) = 1$ when $x = 0.$

score 236 · Answer 4 · 2026-04-15 23:45:28

236

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Which of the following graphs represent functions whose derivatives have a maximum in the interval $(0, 1)$?

Published on 15 Apr 2026 - 23:45

score 52 · Answer 5 · 2026-04-16 15:05:11

52

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Calculate the determinant of $D_n$ and calculate $D_3$ when $D_3=D_4$

Published on 16 Apr 2026 - 15:05

score 35 · Answer 6 · 2026-04-13 19:05:43

35

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Proof that the image of the adjoint representation is in the Lie algebra.

Published on 13 Apr 2026 - 19:05

score 623 · Answer 7 · 2026-04-17 09:10:10

623

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To prove If $a ≡ b$ mod $m$, then $a^2 ≡ b^2$ mod $m^2$

Published on 17 Apr 2026 - 9:10

score 53 · Answer 8 · 2026-04-14 20:37:13

53

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Dimension and generated subspace.

Published on 14 Apr 2026 - 20:37

score 96 · Answer 9 · 2026-04-25 16:41:00

96

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Where is the error in this proof by induction?

Published on 25 Apr 2026 - 16:41

score 210 · Answer 10 · 2026-04-14 02:46:20

210

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Construct a parallelogram from diagonals and altitude

Published on 14 Apr 2026 - 2:46

score 39 · Answer 11 · 2026-04-16 08:41:21

39

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Units of $A_\mathfrak{p} = (A \setminus \mathfrak{p})^{-1}A$

Published on 16 Apr 2026 - 8:41

score 69 · Answer 12 · 2026-04-16 21:59:37

69

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Prove $g(A \cap B) \subseteq g(A) \cap g(B)$ and $g^{-1}(A \cap B) = g^{-1}(A) \cap g^{-1}(B)$

Published on 16 Apr 2026 - 21:59

score 202 · Answer 13 · 2026-04-17 07:03:35

202

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Many doubts about Stein & Shakarchi's Complex Analysis Question 5.2

Published on 17 Apr 2026 - 7:03

score 55 · Answer 14 · 2026-04-16 14:38:52

55

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Can you check if my alternative proof is correct, and if not, tell me why?

Published on 16 Apr 2026 - 14:38

score 89 · Answer 15 · 2026-04-09 13:37:20

89

Views

Show that $(\sin, \cos, \sin \cos, \sin^2, \cos^2)$ is a Basis of $V = \operatorname{Span}(B)$

Published on 09 Apr 2026 - 13:37

List Question

Proof verification: The adjoint representation of a Lie group is smooth

Proving that $1, z, \ldots, z^m$ is linearly independent in $P_m (F)$

Consider the function $f(x) = \frac{\text{max}\space (x, \frac {1}{x})}{\text{min}(x, \frac 1x)}$ when $x ≠ 0;$ $f(x) = 1$ when $x = 0.$

Which of the following graphs represent functions whose derivatives have a maximum in the interval $(0, 1)$?

Calculate the determinant of $D_n$ and calculate $D_3$ when $D_3=D_4$

Proof that the image of the adjoint representation is in the Lie algebra.

To prove If $a ≡ b$ mod $m$, then $a^2 ≡ b^2$ mod $m^2$

Dimension and generated subspace.

Where is the error in this proof by induction?

Construct a parallelogram from diagonals and altitude

Units of $A_\mathfrak{p} = (A \setminus \mathfrak{p})^{-1}A$

Prove $g(A \cap B) \subseteq g(A) \cap g(B)$ and $g^{-1}(A \cap B) = g^{-1}(A) \cap g^{-1}(B)$

Many doubts about Stein & Shakarchi's Complex Analysis Question 5.2

Can you check if my alternative proof is correct, and if not, tell me why?

Show that $(\sin, \cos, \sin \cos, \sin^2, \cos^2)$ is a Basis of $V = \operatorname{Span}(B)$

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