List questions from representation-theory

Published on 22 Mar 2026 - 21:35

468

Views

Decomposing representations of SU(2) into irreducible representations.

Published on 18 Jan 2018 - 5:48

89

Views

Confusion about defining a particular intertwiner

Published on 17 Mar 2026 - 12:43

47

Views

Tensor modules of tensor algebras

Published on 21 Mar 2026 - 10:52

93

Views

Compactly supported modulo the center implies convergence over the unipotent radical

Published on 20 Mar 2026 - 3:13

400

Views

At most two values for the length of the roots in an irreducible root system

Published on 22 Mar 2026 - 17:16

80

Views

Equivalence of representations

Published on 22 Mar 2026 - 9:41

98

Views

$L = \mathfrak{sl}(2,F)$: Viewing $M = \mathfrak{sl}(3,F)$ as an $L$-module.

Published on 23 Jan 2018 - 18:44

172

Views

$\mathbb{R}G$-modules with the same characters

Published on 17 Mar 2026 - 10:28

131

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What breaks if I use a $G$-module instead of a $\mathbb{K}[G]$-module: Induced reps, Frobenius reciprocity?

Published on 22 Mar 2026 - 8:29

188

Views

Finding a representation of $D_n$ on $\mathbb{R}^2$?

Published on 22 Mar 2026 - 15:56

67

Views

Decomposition of the representation $\chi_m(t)=e^{imt}$?

Published on 22 Mar 2026 - 4:05

93

Views

Fulton and Harris $\mathfrak{sl}_3(\mathbb{C})$ representations: What is $L$?

Published on 25 Jan 2018 - 22:39

115

Views

coefficients of the sum of roots corresponding to a parabolic subgroup

Published on 20 Mar 2026 - 1:07

479

Views

Why is a root system called a "root" system?

Published on 22 Mar 2026 - 14:11

List Question

Showing that $ \text{Ind}_H^G W \cong \text{Ind}_K^G(\text{Ind}_H^K W)$

Decomposing representations of SU(2) into irreducible representations.

Confusion about defining a particular intertwiner

Tensor modules of tensor algebras

Compactly supported modulo the center implies convergence over the unipotent radical

At most two values for the length of the roots in an irreducible root system

Equivalence of representations

$L = \mathfrak{sl}(2,F)$: Viewing $M = \mathfrak{sl}(3,F)$ as an $L$-module.

$\mathbb{R}G$-modules with the same characters

What breaks if I use a $G$-module instead of a $\mathbb{K}[G]$-module: Induced reps, Frobenius reciprocity?

Finding a representation of $D_n$ on $\mathbb{R}^2$?

Decomposition of the representation $\chi_m(t)=e^{imt}$?

Fulton and Harris $\mathfrak{sl}_3(\mathbb{C})$ representations: What is $L$?

coefficients of the sum of roots corresponding to a parabolic subgroup

Why is a root system called a "root" system?

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