List questions from representation-theory

Published on 26 Mar 2026 - 1:17

122

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How to construct the isomorphism between two 3-dimensional simple Lie algebras over C?

Published on 26 Mar 2026 - 1:17

143

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Relating the dimension of simple modules to their multiplicities.

Published on 10 Apr 2018 - 16:24

64

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Generated a non-Abelian group from a Lie group and nontrivial $\mathbb{Z}_2$ action

Published on 22 Mar 2026 - 7:57

598

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highest weight of $\Lambda^k V$

Published on 26 Mar 2026 - 3:05

97

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What are the countable groups for which each complex representation is semisimple?

Published on 11 Apr 2018 - 11:03

605

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Why do two equivalent lie algebra representations have the same weights?

Published on 26 Mar 2026 - 3:05

47

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Why the action group on fuctions is $(\lambda \cdot f)(x) = f(\lambda^{-1}x)$

Published on 12 Apr 2018 - 2:59

407

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Tensor products of $FG$-modules and tensor products of representations

Published on 12 Apr 2018 - 3:28

197

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Discrete non-Abelian subgroups and invariants in a unitary group

Published on 12 Apr 2018 - 4:52

266

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Presentation of non Abelian group $(C_3\times C_3)\rtimes C_3$.

Published on 25 Mar 2026 - 8:01

107

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Classifying 2-dimensional representations of $S_3$ by hand following Fulton & Harris

Published on 25 Mar 2026 - 10:57

753

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Proof that the adjoint representation of a Lie group is linear

Published on 26 Mar 2026 - 3:02

296

Views

Character Table of $GL_{2}(3)$

Published on 24 Mar 2026 - 23:44

233

Views

Trivial subrepresentation and base change of fields

Published on 14 Apr 2018 - 21:52

List Question

Representations of compact symplectic groups

How to construct the isomorphism between two 3-dimensional simple Lie algebras over C?

Relating the dimension of simple modules to their multiplicities.

Generated a non-Abelian group from a Lie group and nontrivial $\mathbb{Z}_2$ action

highest weight of $\Lambda^k V$

What are the countable groups for which each complex representation is semisimple?

Why do two equivalent lie algebra representations have the same weights?

Why the action group on fuctions is $(\lambda \cdot f)(x) = f(\lambda^{-1}x)$

Tensor products of $FG$-modules and tensor products of representations

Discrete non-Abelian subgroups and invariants in a unitary group

Presentation of non Abelian group $(C_3\times C_3)\rtimes C_3$.

Classifying 2-dimensional representations of $S_3$ by hand following Fulton & Harris

Proof that the adjoint representation of a Lie group is linear

Character Table of $GL_{2}(3)$

Trivial subrepresentation and base change of fields

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