If $L \subseteq \mathfrak{gl}(V)$ is an abelian, nilpotent Lie algebra is it true that $\{v \in V\setminus \{0 \} : x(v)=0 \forall x \in L \} \neq 0$?

score 20 · Answer 14 · 2026-03-26 02:46:58

20

Views

Compute $S(E^i F^j K^l)$ in $U_q$

Published on 26 Mar 2026 - 2:46

score 82 · Answer 15 · 2023-04-20 20:54:20

82

Views

Proof of Engel’s theorem on Wikipedia

Published on 20 Apr 2023 - 20:54

List Question

Differential forms on quotient Lie group

Lie algebra isomorphism $\mathfrak{spin}^+(t,s)\rightarrow so^+(t,s)$

Find all invariant symmetric bilinear forms of $\mathfrak {sl}(2)$

Compute the characteristic matrices of sp(4)

Lie algebra and Lie group irreps

How to expand $\exp{(\hat A + \lambda \hat B)} = e^{\hat A} e^{O(\lambda)} e^{O(\lambda^2)} \cdots$?

Irreducible submodules of a Lie module

Proof that if $L \subset \mathfrak{sl}(V)$ then $L$ is semisimple

A 1-1 correspondence between the equivalent classes of extension of $\mathfrak{g}$-modules $k$ by $M$ with $H^1(\mathfrak{g},M)$.

Anti-symmetric and associative binary operation that satisfies Jacobi identity?

Showing generalised eigenspace is stable

Showing any abelian ideal of a $L \subseteq \mathfrak{sl}(V)$ must be $\{0 \}$

If $L \subseteq \mathfrak{gl}(V)$ is an abelian, nilpotent Lie algebra is it true that $\{v \in V\setminus \{0 \} : x(v)=0 \forall x \in L \} \neq 0$?

Compute $S(E^i F^j K^l)$ in $U_q$

Proof of Engel’s theorem on Wikipedia

Trending Questions

Popular # Hahtags

Popular Questions