List questions from representation-theory

Published on 22 Mar 2026 - 19:38

212

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Generating an irreducible representation of $\mathfrak{sl}_2(\mathbb{C})$ using lowest weight vector

Published on 07 Mar 2018 - 21:40

212

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Universal cover of a compact simple Lie Group

Published on 07 Mar 2018 - 22:14

148

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Non-isomorphic finite groups with the same order and minimal dimension of real faithful irreducible representation

Published on 25 Mar 2026 - 3:25

813

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submodules of completely reducible modules

Published on 10 Mar 2018 - 7:10

185

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Clarification Concerning The Irrational Rotation Algebra in Davidson's Book

Published on 25 Mar 2026 - 0:01

146

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Contragredient of a cuspidal representation

Published on 20 Mar 2026 - 8:58

48

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A detail about Lie algebra?

Published on 12 Mar 2018 - 13:54

341

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Exercise (2.16) from Isaacs Character Theory of Finite Groups

Published on 13 Mar 2018 - 4:43

238

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$\operatorname{dim}V^G = \operatorname{dim}(V^\ast)^G$, or $G$ linearly reductive implies $V^G$ dual to $(V^\ast)^G$

Published on 20 Mar 2026 - 3:12

58

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Understanding $k[Hom(x,y]$ for a category

Published on 14 Mar 2018 - 12:49

238

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Finitely Generated Category Representation

Published on 14 Mar 2018 - 13:17

49

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Show that for each $X ∈ g, π(X)^∗ = −π(X)$.

Published on 14 Mar 2018 - 14:42

168

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Identities related to Schur's orthogonality relations.

Published on 24 Mar 2026 - 20:41

38

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Field of Definition of a Direct Sum of Representations

Published on 15 Mar 2018 - 0:00

List Question

Regular covering corresponding to a kernel

Generating an irreducible representation of $\mathfrak{sl}_2(\mathbb{C})$ using lowest weight vector

Universal cover of a compact simple Lie Group

Non-isomorphic finite groups with the same order and minimal dimension of real faithful irreducible representation

submodules of completely reducible modules

Clarification Concerning The Irrational Rotation Algebra in Davidson's Book

Contragredient of a cuspidal representation

A detail about Lie algebra?

Exercise (2.16) from Isaacs Character Theory of Finite Groups

$\operatorname{dim}V^G = \operatorname{dim}(V^\ast)^G$, or $G$ linearly reductive implies $V^G$ dual to $(V^\ast)^G$

Understanding $k[Hom(x,y]$ for a category

Finitely Generated Category Representation

Show that for each $X ∈ g, π(X)^∗ = −π(X)$.

Identities related to Schur's orthogonality relations.

Field of Definition of a Direct Sum of Representations

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