Question

Are involutions in infinite vector spaces always diagonalisable?

score 88 · Answer 1 · 2026-04-16 07:47:34

88

Views

Are involutions in infinite vector spaces always diagonalisable?

Published on 16 Apr 2026 - 7:47

score 90 · Answer 2 · 2026-05-10 17:36:04

90

Views

Does every finite Coxeter group have a unique longest element?

Published on 10 May 2026 - 17:36

score 68 · Answer 3 · 2026-05-10 19:35:57

68

Views

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

Published on 10 May 2026 - 19:35

score 23 · Answer 4 · 2026-05-05 17:46:24

23

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 05 May 2026 - 17:46

score 51 · Answer 5 · 2026-03-25 09:34:53

51

Views

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

Published on 25 Mar 2026 - 9:34

score 56 · Answer 6 · 2026-05-10 19:38:32

56

Views

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

Published on 10 May 2026 - 19:38

score 70 · Answer 7 · 2026-03-25 09:39:40

70

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 25 Mar 2026 - 9:39

score 276 · Answer 8 · 2026-05-10 19:35:27

276

Views

Locus of fixed points of an involution in a surface

Published on 10 May 2026 - 19:35

score 42 · Answer 9 · 2026-03-25 09:39:56

42

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 25 Mar 2026 - 9:39

score 104 · Answer 10 · 2026-03-25 09:36:39

104

Views

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

Published on 25 Mar 2026 - 9:36

score 46 · Answer 11 · 2026-03-25 09:37:18

46

Views

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

Published on 25 Mar 2026 - 9:37

score 44 · Answer 12 · 2026-03-25 09:37:08

44

Views

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

Published on 25 Mar 2026 - 9:37

score 74 · Answer 13 · 2026-03-25 09:38:51

74

Views

A theorem about the anti-derivation of the algebra

Published on 25 Mar 2026 - 9:38

score 77 · Answer 14 · 2026-03-25 09:38:49

77

Views

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

Published on 25 Mar 2026 - 9:38

score 39 · Answer 15 · 2026-03-25 09:43:48

39

Views

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

Published on 25 Mar 2026 - 9:43

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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