Question

Extension and restriction of involutions

score 84 · Answer 1 · 2026-04-29 12:44:21

84

Views

Extension and restriction of involutions

Published on 29 Apr 2026 - 12:44

score 547 · Answer 2 · 2026-05-07 10:10:33

547

Views

Involution of the 3 and 4-holed torus and its effects on some knots and links

Published on 07 May 2026 - 10:10

score 90 · Answer 3 · 2026-04-29 12:44:06

90

Views

Reverse operation on Quaternions

Published on 29 Apr 2026 - 12:44

score 138 · Answer 4 · 2026-05-02 18:41:32

138

Views

$\mathbb{Z}_2$-grading of a vector space by an involution

Published on 02 May 2026 - 18:41

score 213 · Answer 5 · 2026-04-29 12:46:18

213

Views

Are $f(x)=x$ and $f(x)=-x$ the only odd bijective involutions from $\mathbb{R}$ to $\mathbb{R}$?

Published on 29 Apr 2026 - 12:46

score 1.4k · Answer 6 · 2026-04-29 12:46:23

1.4k

Views

About the exponential generating function of the involutions of $\mathbb{S}_n$

Published on 29 Apr 2026 - 12:46

score 95 · Answer 7 · 2026-04-29 12:46:19

95

Views

If a $2 \times 2$ matrix $A$ satisfies $A^2=I$, then is $A$ necessarily Hermitian?

Published on 29 Apr 2026 - 12:46

score 1.4k · Answer 8 · 2026-05-02 20:20:30

1.4k

Views

What does it mean for a ring to have an involution? Are there any examples?

Published on 02 May 2026 - 20:20

score 47 · Answer 9 · 2026-04-29 12:46:28

47

Views

positive matrices diagonalised by involutions

Published on 29 Apr 2026 - 12:46

score 60 · Answer 10 · 2026-05-02 20:08:27

60

Views

An involution on a pair of pants fixing one boundary component and permuting other two?

Published on 02 May 2026 - 20:08

score 274 · Answer 11 · 2026-04-29 12:45:54

274

Views

Proof that the Lascoux-Schützenberger involutions satisfies the braid-relations

Published on 29 Apr 2026 - 12:45

score 279 · Answer 12 · 2026-04-23 13:04:12

279

Views

Show that $1= \sum_{k=0}^{m} (-1)^k {m \choose k}2^{m-k}$ using sign reversing involution

Published on 23 Apr 2026 - 13:04

score 243 · Answer 13 · 2026-04-23 16:00:52

243

Views

Recursion $I_{n+1} = I_n + nI_{n-1}$ for the amount $I_n$ of the involutions in $S_n$

Published on 23 Apr 2026 - 16:00

score 843 · Answer 14 · 2026-04-23 01:05:46

843

Views

Find $f,g$ s.t. $f\circ g=\begin{pmatrix}1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10\\ 10 & 4 & 5 & 7 & 8 & 9 & 2 & 6 & 3 & 1\end{pmatrix}.$

Published on 23 Apr 2026 - 1:05

score 571 · Answer 15 · 2026-04-29 12:55:19

571

Views

If $f$ has no non trivial fixed points and $f\circ f$ is the identity then $f(x)=x^{-1}$ and $G$ is abelian for $f$ an automorphism of $G$

Published on 29 Apr 2026 - 12:55

List Question

Extension and restriction of involutions

Involution of the 3 and 4-holed torus and its effects on some knots and links

Reverse operation on Quaternions

$\mathbb{Z}_2$-grading of a vector space by an involution

Are $f(x)=x$ and $f(x)=-x$ the only odd bijective involutions from $\mathbb{R}$ to $\mathbb{R}$?

About the exponential generating function of the involutions of $\mathbb{S}_n$

If a $2 \times 2$ matrix $A$ satisfies $A^2=I$, then is $A$ necessarily Hermitian?

What does it mean for a ring to have an involution? Are there any examples?

positive matrices diagonalised by involutions

An involution on a pair of pants fixing one boundary component and permuting other two?

Proof that the Lascoux-Schützenberger involutions satisfies the braid-relations

Show that $1= \sum_{k=0}^{m} (-1)^k {m \choose k}2^{m-k}$ using sign reversing involution

Recursion $I_{n+1} = I_n + nI_{n-1}$ for the amount $I_n$ of the involutions in $S_n$

Find $f,g$ s.t. $f\circ g=\begin{pmatrix}1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10\\ 10 & 4 & 5 & 7 & 8 & 9 & 2 & 6 & 3 & 1\end{pmatrix}.$

If $f$ has no non trivial fixed points and $f\circ f$ is the identity then $f(x)=x^{-1}$ and $G$ is abelian for $f$ an automorphism of $G$

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