List questions from representation-theory

Published on 27 Mar 2026 - 14:58

155

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What would be an example of characters forming a complete, orthogonal basis for class functions?

Published on 27 Mar 2026 - 11:46

47

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When does a representation of a compact Lie group extend to an extension of the group?

Published on 25 Mar 2026 - 1:18

76

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Writing the left-regular representation using a cyclic vector

Published on 27 Mar 2026 - 15:55

699

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Tensor product and invariant subspaces

Published on 25 Mar 2026 - 18:52

23

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Is $w^{-1} e_{\alpha} w = e_{w^{-1}(\alpha)}$?

Published on 27 Mar 2026 - 11:45

57

Views

Showing that $\mathbb{C}^2$ is irreducible as an $\mathfrak{sl}_2(\mathbb{C})$-module

Published on 27 Mar 2026 - 11:46

72

Views

Action of quadratic Casimir on cochain/cohomology spaces

Published on 24 Mar 2026 - 22:27

135

Views

Cotangent bundle of the flag variety $T^\ast \mathcal{B}$ as complex and real symplectic manifold?

Published on 25 Mar 2026 - 22:06

108

Views

Is there a non-zero algebra homomorphism $\text{End}(V) \to \text{End}(\bigwedge^kV)$?

Published on 25 Mar 2026 - 11:13

45

Views

Irreducibility of regular representation

Published on 02 Sep 2018 - 17:00

553

Views

Nilpotent elements of group algebra $\Bbb CG$

Published on 23 Feb 2026 - 0:25

70

Views

Commuting maps of Specht module in Sagan

Published on 25 Mar 2026 - 18:53

145

Views

$(\mathrm{Vect}_k,\otimes_k)$ as a non-strict monoidal category

Published on 04 Sep 2018 - 2:14

25

Views

Two questions about the functor $DHom_{\Gamma}(-,I)$

Published on 04 Sep 2018 - 8:17

List Question

Trouble understanding "orthogonal characters" and "basis of $Cl(g)$"

What would be an example of characters forming a complete, orthogonal basis for class functions?

When does a representation of a compact Lie group extend to an extension of the group?

Writing the left-regular representation using a cyclic vector

Tensor product and invariant subspaces

Is $w^{-1} e_{\alpha} w = e_{w^{-1}(\alpha)}$?

Showing that $\mathbb{C}^2$ is irreducible as an $\mathfrak{sl}_2(\mathbb{C})$-module

Action of quadratic Casimir on cochain/cohomology spaces

Cotangent bundle of the flag variety $T^\ast \mathcal{B}$ as complex and real symplectic manifold?

Is there a non-zero algebra homomorphism $\text{End}(V) \to \text{End}(\bigwedge^kV)$?

Irreducibility of regular representation

Nilpotent elements of group algebra $\Bbb CG$

Commuting maps of Specht module in Sagan

$(\mathrm{Vect}_k,\otimes_k)$ as a non-strict monoidal category

Two questions about the functor $DHom_{\Gamma}(-,I)$

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