Question

Extending a homomorphism $f:\left<a \right>\to\Bbb T$ to $g:G\to \Bbb T$, where $G$ is abelian and $\mathbb{T}$ is the circle group.

score 1.5k · Answer 1 · 2013-05-04 16:22:29

1.5k

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Extending a homomorphism $f:\left<a \right>\to\Bbb T$ to $g:G\to \Bbb T$, where $G$ is abelian and $\mathbb{T}$ is the circle group.

Published on 04 May 2013 - 16:22

score 1.1k · Answer 2 · 2013-05-05 15:47:48

1.1k

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Applications of Character Theory

Published on 05 May 2013 - 15:47

score 508 · Answer 3 · 2013-05-06 08:45:44

508

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Martin Isaacs's exercise 3.5 (character theory of finite groups)

Published on 06 May 2013 - 8:45

score 424 · Answer 4 · 2013-05-06 08:59:54

424

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Martin Isaacs's exercise 3.6 (character theory of finite groups)

Published on 06 May 2013 - 8:59

score 294 · Answer 5 · 2013-05-06 15:50:30

294

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Martin Isaacs's exercise 3.7 (character theory of finite groups)

Published on 06 May 2013 - 15:50

score 1.2k · Answer 6 · 2013-05-27 09:42:04

1.2k

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Is the quadratic character, unique multiplicative character over $\mathbb Z_{p^n}$, for odd $p$?

Published on 27 May 2013 - 9:42

score 702 · Answer 7 · 2013-06-05 15:58:00

702

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Standard representation of $O_h$ in $\mathbb{R}^3$

Published on 05 Jun 2013 - 15:58

score 38 · Answer 8 · 2026-03-26 14:17:43

38

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$SU_2(\mathbb{C})$ and the characters

Published on 26 Mar 2026 - 14:17

score 107 · Answer 9 · 2013-06-07 16:11:13

107

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Representations of $SO_3(\mathbb{R})$ from $SU_2(\mathbb{C})$

Published on 07 Jun 2013 - 16:11

score 2.3k · Answer 10 · 2013-06-07 23:13:37

2.3k

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Irreducible characters form orthonormal basis of set of class functions

Published on 07 Jun 2013 - 23:13

score 1.7k · Answer 11 · 2013-06-08 15:53:43

1.7k

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Show that each character of $G$ which is zero for all $g \ne 1$ is an integral multiple of the character $r_G$ of the regular representation

Published on 08 Jun 2013 - 15:53

score 196 · Answer 12 · 2013-06-17 06:41:05

196

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If $\chi\in\operatorname{Irr}(G)$, $N\unlhd G$, and $\langle\chi_{N},1_{N}\rangle\ne 0$, then $N\subset \operatorname{Ker}(\chi)$.

Published on 17 Jun 2013 - 6:41

score 171 · Answer 13 · 2013-06-19 22:44:39

171

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Bounds for multi-dimensional Kloosterman Sums

Published on 19 Jun 2013 - 22:44

score 281 · Answer 14 · 2013-06-20 07:58:04

281

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On Applications of the Murnaghan-Nakayama rule

Published on 20 Jun 2013 - 7:58

score 239 · Answer 15 · 2013-06-20 08:30:08

239

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Fourier analysis on finite abelian groups

Published on 20 Jun 2013 - 8:30

List Question

Extending a homomorphism $f:\left<a \right>\to\Bbb T$ to $g:G\to \Bbb T$, where $G$ is abelian and $\mathbb{T}$ is the circle group.

Applications of Character Theory

Martin Isaacs's exercise 3.5 (character theory of finite groups)

Martin Isaacs's exercise 3.6 (character theory of finite groups)

Martin Isaacs's exercise 3.7 (character theory of finite groups)

Is the quadratic character, unique multiplicative character over $\mathbb Z_{p^n}$, for odd $p$?

Standard representation of $O_h$ in $\mathbb{R}^3$

$SU_2(\mathbb{C})$ and the characters

Representations of $SO_3(\mathbb{R})$ from $SU_2(\mathbb{C})$

Irreducible characters form orthonormal basis of set of class functions

Show that each character of $G$ which is zero for all $g \ne 1$ is an integral multiple of the character $r_G$ of the regular representation

If $\chi\in\operatorname{Irr}(G)$, $N\unlhd G$, and $\langle\chi_{N},1_{N}\rangle\ne 0$, then $N\subset \operatorname{Ker}(\chi)$.

Bounds for multi-dimensional Kloosterman Sums

On Applications of the Murnaghan-Nakayama rule

Fourier analysis on finite abelian groups

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