Question

Interesting examples of nilpotent Lie algebras

score 507 · Answer 1 · 2019-06-08 20:42:08

507

Views

Interesting examples of nilpotent Lie algebras

Published on 08 Jun 2019 - 20:42

score 77 · Answer 2 · 2019-06-19 23:23:55

77

Views

If $A \in M_2(\mathbb{C})$ and $A^2 = 0$ then what are the possible forms of A?

Published on 19 Jun 2019 - 23:23

score 277 · Answer 3 · 2019-06-21 12:38:28

277

Views

Show that if $L$ is a nilpotent $n$-dimensional Lie algebra, then there is an ideal of dimension $n-1$

Published on 21 Jun 2019 - 12:38

score 691 · Answer 4 · 2019-07-01 22:12:18

691

Views

Sum of nilpotent elements in a noncommutative ring

Published on 01 Jul 2019 - 22:12

score 185 · Answer 5 · 2026-03-25 12:49:02

185

Views

Explicit description of the map with the nilradical as its kernel

Published on 25 Mar 2026 - 12:49

score 119 · Answer 6 · 2026-03-25 11:08:05

119

Views

Flat nilpotent ideals

Published on 25 Mar 2026 - 11:08

score 2.1k · Answer 7 · 2019-08-11 06:05:32

2.1k

Views

How can one show that a matrix is nilpotent or not?

Published on 11 Aug 2019 - 6:05

score 289 · Answer 8 · 2019-08-15 21:55:19

289

Views

Show that polynomial with non-zero constant term of nilpotent matrix is invertible

Published on 15 Aug 2019 - 21:55

score 80 · Answer 9 · 2019-08-21 00:20:18

80

Views

Elements squaring to zero form an ideal in $\mathbf{Z}/n\mathbf{Z}$

Published on 21 Aug 2019 - 0:20

score 449 · Answer 10 · 2019-08-26 14:45:44

449

Views

The sum of a vertible element and a nilpotent element is vertible

Published on 26 Aug 2019 - 14:45

score 233 · Answer 11 · 2019-08-28 04:40:52

233

Views

Minimal $k$ so that the sum of two nilpotent elements in a commutative ring is 0

Published on 28 Aug 2019 - 4:40

score 211 · Answer 12 · 2019-08-29 23:09:19

211

Views

Product of a nilpotent matrix and a diagonal PD matrix

Published on 29 Aug 2019 - 23:09

score 283 · Answer 13 · 2019-09-11 10:28:02

283

Views

Why is the space of nilpotent spaces of matrices Zariski closed?

Published on 11 Sep 2019 - 10:28

score 55 · Answer 14 · 2019-09-15 20:23:18

55

Views

For any $x\neq0$ in a Lie algebra, is there always a matrix representation $\rho$ such that $\rho(x)^2\neq0$?

Published on 15 Sep 2019 - 20:23

score 126 · Answer 15 · 2019-09-29 05:27:48

126

Views

Is there a nilpotent and idempotent pair such that their product is the identity matrix?

Published on 29 Sep 2019 - 5:27

List Question

Interesting examples of nilpotent Lie algebras

If $A \in M_2(\mathbb{C})$ and $A^2 = 0$ then what are the possible forms of A?

Show that if $L$ is a nilpotent $n$-dimensional Lie algebra, then there is an ideal of dimension $n-1$

Sum of nilpotent elements in a noncommutative ring

Explicit description of the map with the nilradical as its kernel

Flat nilpotent ideals

How can one show that a matrix is nilpotent or not?

Show that polynomial with non-zero constant term of nilpotent matrix is invertible

Elements squaring to zero form an ideal in $\mathbf{Z}/n\mathbf{Z}$

The sum of a vertible element and a nilpotent element is vertible

Minimal $k$ so that the sum of two nilpotent elements in a commutative ring is 0

Product of a nilpotent matrix and a diagonal PD matrix

Why is the space of nilpotent spaces of matrices Zariski closed?

For any $x\neq0$ in a Lie algebra, is there always a matrix representation $\rho$ such that $\rho(x)^2\neq0$?

Is there a nilpotent and idempotent pair such that their product is the identity matrix?

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