List questions from characters

Published on 19 Jan 2017 - 21:14

180

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Dirichlet series in terms of primitive characters

Published on 20 Jan 2017 - 15:34

144

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Non identity character of an Abelian group

Published on 31 Jan 2017 - 20:15

163

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1-1 correspondence between open subgroups of finite index and finite subgroups of $\text{Hom}(G,\mathbb Q/ \mathbb Z)$

Published on 01 Feb 2017 - 14:29

456

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Character Convolution Confusion

Published on 12 Feb 2017 - 23:01

248

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How to find the characters of a group?

Published on 13 Feb 2017 - 0:25

433

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Orthogonality of Characters

Published on 20 Feb 2017 - 23:46

44

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Why is $\#X/(F-1)X=|\det_{X\otimes\mathbb{Q}}(F-1)|$, $X$ the character group, $F$ a Frobenius map?

Published on 21 Feb 2017 - 5:46

106

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Example of character $\lambda$ such that $\operatorname{stab}(\lambda)\cong\mathbb{Z}/(2)\times\mathbb{Z}/(2)$ under action of Weyl group?

Published on 23 Feb 2017 - 8:04

43

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Conductor as the volume of integers

Published on 25 Mar 2026 - 23:37

617

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The integral of a character is $0$

Published on 26 Mar 2026 - 16:05

1.1k

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Finding all the characters of $\mathbb C^\times$

Published on 24 Mar 2017 - 2:33

217

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Group representations: matrix elements generate finite extension of $\mathbb Q$ over a suitable basis

Published on 28 Mar 2017 - 8:21

591

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Restricting a representation to an index 2 subgroup.

Published on 30 Mar 2017 - 23:20

1.1k

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A condition for a representation being self-dual

Published on 31 Mar 2017 - 21:54

List Question

Two exercises on characters on Marcus (Part 2)

Dirichlet series in terms of primitive characters

Non identity character of an Abelian group

1-1 correspondence between open subgroups of finite index and finite subgroups of $\text{Hom}(G,\mathbb Q/ \mathbb Z)$

Character Convolution Confusion

How to find the characters of a group?

Orthogonality of Characters

Why is $\#X/(F-1)X=|\det_{X\otimes\mathbb{Q}}(F-1)|$, $X$ the character group, $F$ a Frobenius map?

Example of character $\lambda$ such that $\operatorname{stab}(\lambda)\cong\mathbb{Z}/(2)\times\mathbb{Z}/(2)$ under action of Weyl group?

Conductor as the volume of integers

The integral of a character is $0$

Finding all the characters of $\mathbb C^\times$

Group representations: matrix elements generate finite extension of $\mathbb Q$ over a suitable basis

Restricting a representation to an index 2 subgroup.

A condition for a representation being self-dual

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