Question

Why do characters span the space of class functions?

score 770 · Answer 1 · 2017-09-04 18:14:03

770

Views

Why do characters span the space of class functions?

Published on 04 Sep 2017 - 18:14

score 85 · Answer 2 · 2017-09-06 06:13:06

85

Views

If $\chi$ irreducible complex character and normal $N \cap C_G (x) = 1$ with kernel not containing $N$, then $\chi(x)=0$

Published on 06 Sep 2017 - 6:13

score 355 · Answer 3 · 2017-09-06 19:10:24

355

Views

Number of characters for a finite group of order 57

Published on 06 Sep 2017 - 19:10

score 116 · Answer 4 · 2017-09-09 10:36:56

116

Views

Weight space corresponding to $\lambda$ what is $-\lambda$?

Published on 09 Sep 2017 - 10:36

score 371 · Answer 5 · 2017-09-14 08:00:15

371

Views

Characters and decomposition

Published on 14 Sep 2017 - 8:00

score 152 · Answer 6 · 2017-09-30 13:00:50

152

Views

character table S_9

Published on 30 Sep 2017 - 13:00

score 193 · Answer 7 · 2026-03-28 17:39:29

193

Views

Optimizing GAP Code - decomposing Regular Characters into Irreducible Characters & Projecting $\mathbb C^n$ onto an Invariant Subspace

Published on 28 Mar 2026 - 17:39

score 80 · Answer 8 · 2026-03-27 13:25:54

80

Views

If $x\in Z(\mathbb{C}[G])$, why is $x$ invertible in $Z(\mathbb{C}[G]e)$ if $xe=x$?

Published on 27 Mar 2026 - 13:25

score 75 · Answer 9 · 2017-10-11 01:33:01

75

Views

If $\chi\in\operatorname{Irr}(G)$, is $\chi$ always afforded by $kGe_\chi$, and why?

Published on 11 Oct 2017 - 1:33

score 86 · Answer 10 · 2026-03-27 16:47:40

86

Views

If $e$ primitive idempotent of $\mathbb{C}G$, and $n$ a primitive of $e\mathbb{C}Ge$, why is $ne\mathbb{C}Gen=\mathbb{C}n$?

Published on 27 Mar 2026 - 16:47

score 33 · Answer 11 · 2017-10-19 18:47:28

33

Views

Finding underlying group given a set of characters

Published on 19 Oct 2017 - 18:47

score 857 · Answer 12 · 2026-03-26 12:34:49

857

Views

Why are characters of algebraic groups interesting?

Published on 26 Mar 2026 - 12:34

score 168 · Answer 13 · 2017-10-24 18:43:55

168

Views

Role of projective representations in representation theory of semidirect products?

Published on 24 Oct 2017 - 18:43

score 49 · Answer 14 · 2017-10-25 15:59:54

49

Views

(No) difference between irreducible $\bar{\mathbb{Q}}$-valued characters and irreducible $\mathbb{C}$-valued characters of a finite group?

Published on 25 Oct 2017 - 15:59

score 1.2k · Answer 15 · 2017-10-25 19:03:46

1.2k

Views

Product of primitive Dirichlet characters , modulo co-prime positive integers, is primitive?

Published on 25 Oct 2017 - 19:03

List Question

Why do characters span the space of class functions?

If $\chi$ irreducible complex character and normal $N \cap C_G (x) = 1$ with kernel not containing $N$, then $\chi(x)=0$

Number of characters for a finite group of order 57

Weight space corresponding to $\lambda$ what is $-\lambda$?

Characters and decomposition

character table S_9

Optimizing GAP Code - decomposing Regular Characters into Irreducible Characters & Projecting $\mathbb C^n$ onto an Invariant Subspace

If $x\in Z(\mathbb{C}[G])$, why is $x$ invertible in $Z(\mathbb{C}[G]e)$ if $xe=x$?

If $\chi\in\operatorname{Irr}(G)$, is $\chi$ always afforded by $kGe_\chi$, and why?

If $e$ primitive idempotent of $\mathbb{C}G$, and $n$ a primitive of $e\mathbb{C}Ge$, why is $ne\mathbb{C}Gen=\mathbb{C}n$?

Finding underlying group given a set of characters

Why are characters of algebraic groups interesting?

Role of projective representations in representation theory of semidirect products?

(No) difference between irreducible $\bar{\mathbb{Q}}$-valued characters and irreducible $\mathbb{C}$-valued characters of a finite group?

Product of primitive Dirichlet characters , modulo co-prime positive integers, is primitive?

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