List questions from characters

Published on 10 Apr 2026 - 20:20

92

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Is the homomorphism $\mathbb{Q}G\to \prod M_{\chi_i(1)}(\mathbb{Q})$ given by $x \mapsto (\rho_i(x))_i$ an isomorphism?

Published on 16 Apr 2026 - 9:12

144

Views

Relation between a finite group and the Galois group for the field extension generated by the character table entries

Published on 12 Apr 2026 - 19:40

162

Views

Why the character of any representation is a central function?

Published on 16 Apr 2026 - 22:13

386

Views

Show that the characters of the representations $\phi_{n}$ of $SU(2)$ constitute a complete orthogonal set.

Published on 14 Apr 2026 - 18:04

826

Views

Tensor product between a representation and its dual

Published on 11 Apr 2026 - 6:42

339

Views

Complex character of a finite group $G$

Published on 17 Apr 2026 - 12:07

82

Views

Character of representation of $D_5$ on $\mathbb{R}^5$.

Published on 17 Apr 2026 - 7:35

1.4k

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Inner product of a character

Published on 10 May 2026 - 9:29

151

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Question on irreducible complex characters

Published on 15 Apr 2026 - 5:44

134

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Irreducible complex characters of a finite group

Published on 11 Apr 2026 - 20:29

241

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Product of a class function with a conjugate of an irreducible character

Published on 14 Apr 2026 - 14:28

81

Views

Isomorphic representations have equal characters

Published on 14 Apr 2026 - 15:35

237

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Characters of the fundamental representations of $SU(3)$

Published on 14 Apr 2026 - 6:44

125

Views

What is a non-alternating simple group with big order, but relatively few conjugacy classes?

Published on 11 Apr 2026 - 9:05

List Question

Additive characters of $\mathbb{C}_p$

Is the homomorphism $\mathbb{Q}G\to \prod M_{\chi_i(1)}(\mathbb{Q})$ given by $x \mapsto (\rho_i(x))_i$ an isomorphism?

Relation between a finite group and the Galois group for the field extension generated by the character table entries

Why the character of any representation is a central function?

Show that the characters of the representations $\phi_{n}$ of $SU(2)$ constitute a complete orthogonal set.

Tensor product between a representation and its dual

Complex character of a finite group $G$

Character of representation of $D_5$ on $\mathbb{R}^5$.

Inner product of a character

Question on irreducible complex characters

Irreducible complex characters of a finite group

Product of a class function with a conjugate of an irreducible character

Isomorphic representations have equal characters

Characters of the fundamental representations of $SU(3)$

What is a non-alternating simple group with big order, but relatively few conjugacy classes?

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