Question

Extension and restriction of involutions

score 78 · Answer 1 · 2026-03-22 21:50:47

78

Views

Extension and restriction of involutions

Published on 22 Mar 2026 - 21:50

score 539 · Answer 2 · 2026-03-21 10:52:38

539

Views

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

Published on 21 Mar 2026 - 10:52

score 79 · Answer 3 · 2026-03-22 06:40:30

79

Views

Reverse operation on Quaternions

Published on 22 Mar 2026 - 6:40

score 131 · Answer 4 · 2026-03-23 11:37:54

131

Views

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

Published on 23 Mar 2026 - 11:37

score 206 · Answer 5 · 2026-03-23 02:00:50

206

Views

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

Published on 23 Mar 2026 - 2:00

score 1.4k · Answer 6 · 2026-03-23 08:28:23

1.4k

Views

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

Published on 23 Mar 2026 - 8:28

score 88 · Answer 7 · 2026-03-23 10:50:13

88

Views

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

Published on 23 Mar 2026 - 10:50

score 1.4k · Answer 8 · 2026-03-22 19:01:58

1.4k

Views

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

Published on 22 Mar 2026 - 19:01

score 38 · Answer 9 · 2026-03-22 20:10:00

38

Views

positive matrices diagonalised by involutions

Published on 22 Mar 2026 - 20:10

score 53 · Answer 10 · 2026-03-23 01:50:26

53

Views

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

Published on 23 Mar 2026 - 1:50

score 268 · Answer 11 · 2026-03-22 20:06:22

268

Views

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

Published on 22 Mar 2026 - 20:06

score 275 · Answer 12 · 2026-03-17 10:50:10

275

Views

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

Published on 17 Mar 2026 - 10:50

score 239 · Answer 13 · 2026-03-17 18:37:02

239

Views

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

Published on 17 Mar 2026 - 18:37

score 839 · Answer 14 · 2026-03-17 12:00:55

839

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 17 Mar 2026 - 12:00

score 566 · Answer 15 · 2026-03-17 01:40:19

566

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 17 Mar 2026 - 1:40

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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