Question

Are involutions in infinite vector spaces always diagonalisable?

score 87 · Answer 1 · 2026-03-17 03:18:38

87

Views

Are involutions in infinite vector spaces always diagonalisable?

Published on 17 Mar 2026 - 3:18

score 88 · Answer 2 · 2020-02-28 17:31:57

88

Views

Does every finite Coxeter group have a unique longest element?

Published on 28 Feb 2020 - 17:31

score 66 · Answer 3 · 2020-03-03 20:09:07

66

Views

A subfield of $\mathbb{C}(x,y)$ invariant under an involution

Published on 03 Mar 2020 - 20:09

score 22 · Answer 4 · 2026-02-23 02:40:29

22

Views

Form of $u,v \in \mathbb{C}[x,y]$ satisfying $\mathbb{C}(s_1,s_2,k_1,k_2)=\mathbb{C}(u,v)$

Published on 23 Feb 2026 - 2:40

score 50 · Answer 5 · 2020-03-03 23:40:44

50

Views

Given an involution , does xx = x*x? If not, what is a counterexample?

Published on 03 Mar 2020 - 23:40

score 54 · Answer 6 · 2020-03-04 19:26:04

54

Views

The form of $w \in \mathbb{C}(x,y)$ satisfying $\beta(w)=w$, $\beta$ an involution on $\mathbb{C}[x,y]$

Published on 04 Mar 2020 - 19:26

score 69 · Answer 7 · 2020-03-08 01:05:02

69

Views

Concerning $\mathbb{C}(s_1,s_2,s_3,y)=\mathbb{C}(x,y)$, where $s_1,s_2,s_3$ are symmetric

Published on 08 Mar 2020 - 1:05

score 274 · Answer 8 · 2020-03-08 20:09:45

274

Views

Locus of fixed points of an involution in a surface

Published on 08 Mar 2020 - 20:09

score 41 · Answer 9 · 2020-03-12 05:43:16

41

Views

$\mathbb{C}(s_1,s_2,k)=\mathbb{C}(x,y)$, where $s_1,s_2$ are symmetric and $k$ is skew-symmetric

Published on 12 Mar 2020 - 5:43

score 103 · Answer 10 · 2020-03-23 22:39:42

103

Views

When $\mathbb{C}[u,v]$ is a UFD, for special $u,v \in \mathbb{C}[t]$?

Published on 23 Mar 2020 - 22:39

score 45 · Answer 11 · 2020-04-08 09:54:43

45

Views

what are the eigenvalues of a matrix A of m-involution

Published on 08 Apr 2020 - 9:54

score 43 · Answer 12 · 2020-04-12 17:44:53

43

Views

Does a fixpoint-free, self inverse homeomorphism define a smooth manifold?

Published on 12 Apr 2020 - 17:44

score 73 · Answer 13 · 2020-04-15 14:59:36

73

Views

A theorem about the anti-derivation of the algebra

Published on 15 Apr 2020 - 14:59

score 76 · Answer 14 · 2020-04-15 15:56:18

76

Views

Can the property $z^*z\in [0,\infty)$ be generalized to other fields?

Published on 15 Apr 2020 - 15:56

score 38 · Answer 15 · 2020-04-21 21:31:50

38

Views

If $p^{2}=p^{}=p$ and $pa^{}a=paa^{}=0$, then $a^{}p+pa=0$.

Published on 21 Apr 2020 - 21:31

List Question

Are involutions in infinite vector spaces always diagonalisable?

Does every finite Coxeter group have a unique longest element?

A subfield of $\mathbb{C}(x,y)$ invariant under an involution

Form of $u,v \in \mathbb{C}[x,y]$ satisfying $\mathbb{C}(s_1,s_2,k_1,k_2)=\mathbb{C}(u,v)$

Given an involution , does xx = x*x? If not, what is a counterexample?

The form of $w \in \mathbb{C}(x,y)$ satisfying $\beta(w)=w$, $\beta$ an involution on $\mathbb{C}[x,y]$

Concerning $\mathbb{C}(s_1,s_2,s_3,y)=\mathbb{C}(x,y)$, where $s_1,s_2,s_3$ are symmetric

Locus of fixed points of an involution in a surface

$\mathbb{C}(s_1,s_2,k)=\mathbb{C}(x,y)$, where $s_1,s_2$ are symmetric and $k$ is skew-symmetric

When $\mathbb{C}[u,v]$ is a UFD, for special $u,v \in \mathbb{C}[t]$?

what are the eigenvalues of a matrix A of m-involution

Does a fixpoint-free, self inverse homeomorphism define a smooth manifold?

A theorem about the anti-derivation of the algebra

Can the property $z^*z\in [0,\infty)$ be generalized to other fields?

If $p^{2}=p^{}=p$ and $pa^{}a=paa^{}=0$, then $a^{}p+pa=0$.

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