List questions from lie-algebras

Published on 25 Mar 2026 - 5:02

1k

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For Lie groups $G$ and $H$, a homomorphism $f:G\rightarrow H$ is surjective if $f_*:\mathfrak{g}\rightarrow\mathfrak{h}$ is surjective

Published on 14 Apr 2026 - 11:13

335

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Embedding of a Lie Algebra $\mathfrak{g}$ in its associated universal enveloping algebra

Published on 15 Apr 2026 - 22:08

708

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Recover Lie algebra bracket from the root system

Published on 02 May 2026 - 8:25

269

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Systematic approach to the Chevalley-Eilenberg resolution

Published on 13 Apr 2026 - 12:53

417

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Definition of Lie algebra presentations

Published on 27 Mar 2026 - 22:30

496

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Relationship between Cartan sub algebra and Casimir operators?

Published on 11 Apr 2026 - 15:30

457

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Nilpotent linear map $x$ induces another nilpotent linear map $ \bar{x} : V/ U \rightarrow V/ U $ that has a basis that is strictly upper triangular.

Published on 14 Apr 2026 - 10:26

34

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A minimal nontrivial homomorphism of $PGL(k+1) \to GL(n)$

Published on 15 Apr 2026 - 16:16

424

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Requirements in Engel's theorem

Published on 14 Apr 2026 - 4:59

322

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Representations and Cartan decompositions of $\mathfrak{so}(4,1)$

Published on 15 Apr 2026 - 0:17

336

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Question on block decomposition in Category O

Published on 17 Apr 2026 - 12:01

302

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Is there a natural Zariski topology on a general finite dimensional vector space?

Published on 26 Mar 2026 - 9:49

452

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Adjoint map is a Derivation (Lie-algebra)

Published on 16 Apr 2026 - 2:30

43

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Find a Injection from the set of all Ideals of $L/I$ to the set of ideals of $I$ where $L$ is a Lie-algebra and $I\subset L$ an ideal

Published on 15 Apr 2026 - 11:14

List Question

Tetrality and ${\frak so}(8)$'s three irreps

For Lie groups $G$ and $H$, a homomorphism $f:G\rightarrow H$ is surjective if $f_*:\mathfrak{g}\rightarrow\mathfrak{h}$ is surjective

Embedding of a Lie Algebra $\mathfrak{g}$ in its associated universal enveloping algebra

Recover Lie algebra bracket from the root system

Systematic approach to the Chevalley-Eilenberg resolution

Definition of Lie algebra presentations

Relationship between Cartan sub algebra and Casimir operators?

Nilpotent linear map $x$ induces another nilpotent linear map $ \bar{x} : V/ U \rightarrow V/ U $ that has a basis that is strictly upper triangular.

A minimal nontrivial homomorphism of $PGL(k+1) \to GL(n)$

Requirements in Engel's theorem

Representations and Cartan decompositions of $\mathfrak{so}(4,1)$

Question on block decomposition in Category O

Is there a natural Zariski topology on a general finite dimensional vector space?

Adjoint map is a Derivation (Lie-algebra)

Find a Injection from the set of all Ideals of $L/I$ to the set of ideals of $I$ where $L$ is a Lie-algebra and $I\subset L$ an ideal

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