List questions from irreducible-representation

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31

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Constructing a semidirect product in GAP using characters

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89

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Prove that the degree of every irreducible representation divides $[ G : Z(G) ]$

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90

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Show that $\theta$ is irreducible representation

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39

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Example of an irreducible homogeneous Markov chain, that possesses an invariant measure but is not recurrent

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125

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The irreducible representation of $S_n$ corresponding to the partition $n = (n − 1) + 1$

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37

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Tableau which corresponds to alternating square representation

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354

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Representation of symmetry group $D_4$ acting on a square

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80

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Decomposing $\mathfrak{sl}_2$ as a sum of irreducible representations $U(sl_2)$

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79

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GNS representation - A simple proof for 2x2 Matrices

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146

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Wiki claim - Irreducible representations with highest weight $(0,m)$ can be realized on the space of homogeneous polynomials of deg $m$ over 3 vars

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115

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Does an irreducible Markov chain have exactly one equivalence class?

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41

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$\varphi:G\to GL(V)$ irreducible. If $H$ is a finite abelian subgroup of $GL(V)$ such that $H\leq C_{GL(V)}(\varphi(G))$, then $H$ is cyclic.

Published on 20 Mar 2026 - 19:02

97

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Decomposition of $(\mathbb C^d)^{\otimes n}$ into permutation modules

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57

Views

Faithful representations of a non-abelian group of order $p^3$

Published on 20 Mar 2026 - 19:02

List Question

What do eigenvalues have to do with modules?

Constructing a semidirect product in GAP using characters

Prove that the degree of every irreducible representation divides $[ G : Z(G) ]$

Show that $\theta$ is irreducible representation

Example of an irreducible homogeneous Markov chain, that possesses an invariant measure but is not recurrent

The irreducible representation of $S_n$ corresponding to the partition $n = (n − 1) + 1$

Tableau which corresponds to alternating square representation

Representation of symmetry group $D_4$ acting on a square

Decomposing $\mathfrak{sl}_2$ as a sum of irreducible representations $U(sl_2)$

GNS representation - A simple proof for 2x2 Matrices

Wiki claim - Irreducible representations with highest weight $(0,m)$ can be realized on the space of homogeneous polynomials of deg $m$ over 3 vars

Does an irreducible Markov chain have exactly one equivalence class?

$\varphi:G\to GL(V)$ irreducible. If $H$ is a finite abelian subgroup of $GL(V)$ such that $H\leq C_{GL(V)}(\varphi(G))$, then $H$ is cyclic.

Decomposition of $(\mathbb C^d)^{\otimes n}$ into permutation modules

Faithful representations of a non-abelian group of order $p^3$

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