Question

Are the two nilpotent elements in an $\mathfrak{sl}_2$-triple conjugate

score 196 · Answer 1 · 2015-09-30 16:00:54

196

Views

Are the two nilpotent elements in an $\mathfrak{sl}_2$-triple conjugate

Published on 30 Sep 2015 - 16:00

score 2.2k · Answer 2 · 2015-09-30 17:36:44

2.2k

Views

Product of nilpotent matrices is nilpotent

Published on 30 Sep 2015 - 17:36

score 826 · Answer 3 · 2015-09-30 18:10:13

826

Views

Product of nilpotent matrices invertible

Published on 30 Sep 2015 - 18:10

score 2.3k · Answer 4 · 2015-10-01 19:46:40

2.3k

Views

Example of non-nilpotent product of nilpotent matrices

Published on 01 Oct 2015 - 19:46

score 413 · Answer 5 · 2026-03-26 04:28:49

413

Views

Specific matrix has no 2-dimensional invariant subspaces

Published on 26 Mar 2026 - 4:28

score 142 · Answer 6 · 2015-10-16 03:51:52

142

Views

Prove if $im(T^k) \ne 0$ for some positive integer k for a nilpotent transformation T, then $im(T^{k+1}) \subsetneq im(T^k)$

Published on 16 Oct 2015 - 3:51

score 160 · Answer 7 · 2015-10-17 18:25:11

160

Views

Is the Matrix Nilpotent?

Published on 17 Oct 2015 - 18:25

score 192 · Answer 8 · 2015-10-25 06:51:54

192

Views

Let $V$ be a vector space finitely generated over $\mathbb{C}$ and let $α ∈ End(V )$ satisfy $spec(α) = \{0\}$. Show that $α$ is nilpotent.

Published on 25 Oct 2015 - 6:51

score 143 · Answer 9 · 2015-11-01 16:49:41

143

Views

Showing a group where $\forall x,y \in G$, $x^{2}$ and $y$ commute is nilpotent

Published on 01 Nov 2015 - 16:49

score 1k · Answer 10 · 2015-11-09 03:18:53

1k

Views

Nilpotency class of the unitriangular matrix group

Published on 09 Nov 2015 - 3:18

score 565 · Answer 11 · 2026-03-09 14:13:45

565

Views

Proving that the spectral radius of a nilpotent element of a Banach algebra is equal to zero.

Published on 09 Mar 2026 - 14:13

score 84 · Answer 12 · 2015-11-23 10:39:13

84

Views

Problem with an exercise about maximal subgroups in nilpotent group

Published on 23 Nov 2015 - 10:39

score 588 · Answer 13 · 2015-11-23 17:05:55

588

Views

$I+B$ is invertible if $B^{k} = 0$

Published on 23 Nov 2015 - 17:05

score 126 · Answer 14 · 2015-12-06 00:55:36

126

Views

Two definitions of nilpotence

Published on 06 Dec 2015 - 0:55

score 168 · Answer 15 · 2015-12-07 02:07:03

168

Views

$GL(2,\mathbb{Z})$ and nilpotency

Published on 07 Dec 2015 - 2:07

List Question

Are the two nilpotent elements in an $\mathfrak{sl}_2$-triple conjugate

Product of nilpotent matrices is nilpotent

Product of nilpotent matrices invertible

Example of non-nilpotent product of nilpotent matrices

Specific matrix has no 2-dimensional invariant subspaces

Prove if $im(T^k) \ne 0$ for some positive integer k for a nilpotent transformation T, then $im(T^{k+1}) \subsetneq im(T^k)$

Is the Matrix Nilpotent?

Let $V$ be a vector space finitely generated over $\mathbb{C}$ and let $α ∈ End(V )$ satisfy $spec(α) = \{0\}$. Show that $α$ is nilpotent.

Showing a group where $\forall x,y \in G$, $x^{2}$ and $y$ commute is nilpotent

Nilpotency class of the unitriangular matrix group

Proving that the spectral radius of a nilpotent element of a Banach algebra is equal to zero.

Problem with an exercise about maximal subgroups in nilpotent group

$I+B$ is invertible if $B^{k} = 0$

Two definitions of nilpotence

$GL(2,\mathbb{Z})$ and nilpotency

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