Question

$\alpha$ is a root $\implies -\alpha$ is a root

score 176 · Answer 1 · 2026-04-28 01:57:56

176

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$\alpha$ is a root $\implies -\alpha$ is a root

Published on 28 Apr 2026 - 1:57

score 118 · Answer 2 · 2026-04-15 08:52:44

118

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Lie group question: If $\gamma^{-1}\dot{\gamma}\in\mathfrak{g}$ everywhere, does $\gamma(t)\in G$?

Published on 15 Apr 2026 - 8:52

score 152 · Answer 3 · 2026-04-12 15:34:44

152

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Multiplicities in weight diagram of representations of $\mathfrak{sl}(3,\mathbb{C})$

Published on 12 Apr 2026 - 15:34

score 92 · Answer 4 · 2026-04-16 05:56:46

Let $\rho$ f.d. rep of a nilpotent Lie algebra such that $\rm{det} \rho(X) = 0$, $\forall X$. Then $\exists v \neq 0$: $\rho(X)v = 0, \forall X$.

score 247 · Answer 5 · 2026-03-26 01:21:28

247

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Isomorphism of Lie algebras $\mathfrak{g}\simeq \mathfrak{X}^v(P)$?

Published on 26 Mar 2026 - 1:21

score 43 · Answer 6 · 2026-04-10 23:05:29

43

Views

Every finite-dimensional representation of $\mathfrak{sl}_2(\mathbb{R})$ is semisimple.

Published on 10 Apr 2026 - 23:05

score 33 · Answer 7 · 2026-04-15 07:08:03

33

Views

Quotient of the abelian Lie group $(\mathbb{C}, +)$ by a full rank lattice

Published on 15 Apr 2026 - 7:08

score 42 · Answer 8 · 2026-04-15 13:17:07

42

Views

Nilpotent Lie Algebra with determinant 0

Published on 15 Apr 2026 - 13:17

score 130 · Answer 9 · 2026-04-14 22:11:02

130

Views

Radical of a Lie algebra bracket itself

Published on 14 Apr 2026 - 22:11

score 1.2k · Answer 10 · 2026-04-09 02:36:35

1.2k

Views

How to find roots of a Lie algebra from simple roots using root strings?

Published on 09 Apr 2026 - 2:36

score 396 · Answer 11 · 2026-04-15 17:07:51

396

Views

The set of ideals of a solvable lie algebra L is a chain?

Published on 15 Apr 2026 - 17:07

score 214 · Answer 12 · 2026-04-15 20:15:07

214

Views

Prove identity map of a Lie algebra is unique Cartan involution when Killing form is negative definite

Published on 15 Apr 2026 - 20:15

score 108 · Answer 13 · 2026-04-20 12:16:18

108

Views

Derivations of $k[x]/(x^2)$

Published on 20 Apr 2026 - 12:16

score 213 · Answer 14 · 2026-03-29 13:47:01

213

Views

Definition for Shimura datum

Published on 29 Mar 2026 - 13:47

score 252 · Answer 15 · 2026-04-09 00:51:14

252

Views

Action of $sl(2,\mathbb{C})$ on Dual of Polynomials does not Exponentiate

Published on 09 Apr 2026 - 0:51

List Question

$\alpha$ is a root $\implies -\alpha$ is a root

Lie group question: If $\gamma^{-1}\dot{\gamma}\in\mathfrak{g}$ everywhere, does $\gamma(t)\in G$?

Multiplicities in weight diagram of representations of $\mathfrak{sl}(3,\mathbb{C})$

Let $\rho$ f.d. rep of a nilpotent Lie algebra such that $\rm{det} \rho(X) = 0$, $\forall X$. Then $\exists v \neq 0$: $\rho(X)v = 0, \forall X$.

Isomorphism of Lie algebras $\mathfrak{g}\simeq \mathfrak{X}^v(P)$?

Every finite-dimensional representation of $\mathfrak{sl}_2(\mathbb{R})$ is semisimple.

Quotient of the abelian Lie group $(\mathbb{C}, +)$ by a full rank lattice

Nilpotent Lie Algebra with determinant 0

Radical of a Lie algebra bracket itself

How to find roots of a Lie algebra from simple roots using root strings?

The set of ideals of a solvable lie algebra L is a chain?

Prove identity map of a Lie algebra is unique Cartan involution when Killing form is negative definite

Derivations of $k[x]/(x^2)$

Definition for Shimura datum

Action of $sl(2,\mathbb{C})$ on Dual of Polynomials does not Exponentiate

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