Question

Character sum involving conjugacy classes

score 159 · Answer 1 · 2020-02-23 05:22:59

159

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Character sum involving conjugacy classes

Published on 23 Feb 2020 - 5:22

score 131 · Answer 2 · 2020-02-28 00:52:47

131

Views

Prove that the value of $\chi_{(n−1,1)}$ on a permutation $\sigma\in S_n$ is one less than the number of fixed points in $\sigma$.

Published on 28 Feb 2020 - 0:52

score 198 · Answer 3 · 2020-02-28 15:26:00

198

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$5$-dimensional irreducible representation of $\mathcal{A}_5$

Published on 28 Feb 2020 - 15:26

score 328 · Answer 4 · 2020-02-29 21:48:01

328

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Why is $\chi_\rho - \chi_1$ Always a Character, and Why is it Irreducible?

Published on 29 Feb 2020 - 21:48

score 26 · Answer 5 · 2020-03-10 22:26:00

26

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How to determine the irreducible characters for $S_n$

Published on 10 Mar 2020 - 22:26

score 643 · Answer 6 · 2020-03-11 13:53:45

643

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Character induced by the trivial character of a subgroup

Published on 11 Mar 2020 - 13:53

score 908 · Answer 7 · 2020-03-17 21:55:56

908

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Character of representations of SO(3) derived from the irreducible representations of SU(2)

Published on 17 Mar 2020 - 21:55

score 242 · Answer 8 · 2020-03-18 21:13:49

242

Views

Are finite abelian groups isomorphic to k-character groups for arbitrary alg.closed k?

Published on 18 Mar 2020 - 21:13

score 188 · Answer 9 · 2020-03-23 12:37:26

188

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Prove that: Z(G) = { g∈G ∣ |χ(g)| = χ(1) for all χ ∈ Irr(G)} (Representation Theory)

Published on 23 Mar 2020 - 12:37

score 163 · Answer 10 · 2020-03-23 20:28:50

163

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Properties of characters of representations

Published on 23 Mar 2020 - 20:28

score 73 · Answer 11 · 2020-03-24 13:22:12

73

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Multiplicative quasi-characters on ℚ

Published on 24 Mar 2020 - 13:22

score 161 · Answer 12 · 2020-03-25 03:06:53

161

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Representations of finite group with normal prime index subgroup

Published on 25 Mar 2020 - 3:06

score 469 · Answer 13 · 2020-03-30 17:02:31

469

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Each irreducible representation of $G$ is of the form $\rho_1\otimes\rho_2$, for some irreducible representations of $G1$ and $G2$

Published on 30 Mar 2020 - 17:02

score 46 · Answer 14 · 2020-03-31 02:45:05

46

Views

Definition of p-primary component of character and local component of character at p

Published on 31 Mar 2020 - 2:45

score 47 · Answer 15 · 2020-03-31 12:55:49

47

Views

Character table of $S_4$.

Published on 31 Mar 2020 - 12:55

List Question

Character sum involving conjugacy classes

Prove that the value of $\chi_{(n−1,1)}$ on a permutation $\sigma\in S_n$ is one less than the number of fixed points in $\sigma$.

$5$-dimensional irreducible representation of $\mathcal{A}_5$

Why is $\chi_\rho - \chi_1$ Always a Character, and Why is it Irreducible?

How to determine the irreducible characters for $S_n$

Character induced by the trivial character of a subgroup

Character of representations of SO(3) derived from the irreducible representations of SU(2)

Are finite abelian groups isomorphic to k-character groups for arbitrary alg.closed k?

Prove that: Z(G) = { g∈G ∣ |χ(g)| = χ(1) for all χ ∈ Irr(G)} (Representation Theory)

Properties of characters of representations

Multiplicative quasi-characters on ℚ

Representations of finite group with normal prime index subgroup

Each irreducible representation of $G$ is of the form $\rho_1\otimes\rho_2$, for some irreducible representations of $G1$ and $G2$

Definition of p-primary component of character and local component of character at p

Character table of $S_4$.

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