List questions from characters

Published on 01 Dec 2021 - 3:32

78

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why $\sum_{g∈G}\overline {h(g)}χ_v(g)$ is scalar of identity map of $V$ and what is the scalar?

Published on 01 Dec 2021 - 8:29

110

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How to find out if a semilinear representation is irreducible (possibly with gap)

Published on 29 Mar 2026 - 22:31

48

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Any function $f:\mathbb{F}_q \rightarrow \mathbb{C}$ has a unique representation $f(x)=f_{\delta}\delta(x)+\sum_{\chi} f_{\chi}\chi(x)$

Published on 04 Dec 2021 - 5:27

201

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Characters of SU(2) and group elements squared.

Published on 10 Dec 2021 - 21:59

65

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Question about Suzuki's Theory of Exceptional Characters

Published on 11 Dec 2021 - 0:12

119

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Absolute value of Jacobi sum $J(\chi,\psi)$ for Dirichlet characters

Published on 22 Mar 2026 - 5:57

105

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If a representation is irreducible iff $(\chi_V,\chi_V)=\sum_{i=1}^k a_i^2$, wouldn’t that mean that there’s only one $a_i$ and that $a_i=1$?

Published on 27 Dec 2021 - 20:37

122

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Reference Request for Orbits of Group Representation

Published on 29 Dec 2021 - 3:54

92

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Counterexample in Serre about Artin's induction theorem with $\mathbb{Z}$ coefficients

Published on 07 Jan 2022 - 16:18

178

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Explicit construction of induced character from cyclic subgroup of symmetric group

Published on 13 Jan 2022 - 22:25

174

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Character Cartan-Killing metric

Published on 14 Jan 2022 - 19:53

133

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Zeros of characters

Published on 24 Jan 2022 - 13:05

281

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Characters of Lie algebra representations

Published on 29 Mar 2026 - 11:08

236

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Character induced from a faithful character is faithful

Published on 01 Feb 2022 - 11:57

List Question

Compute character table of $S_4$ in Fulton-Harris

why $\sum_{g∈G}\overline {h(g)}χ_v(g)$ is scalar of identity map of $V$ and what is the scalar?

How to find out if a semilinear representation is irreducible (possibly with gap)

Any function $f:\mathbb{F}_q \rightarrow \mathbb{C}$ has a unique representation $f(x)=f_{\delta}\delta(x)+\sum_{\chi} f_{\chi}\chi(x)$

Characters of SU(2) and group elements squared.

Question about Suzuki's Theory of Exceptional Characters

Absolute value of Jacobi sum $J(\chi,\psi)$ for Dirichlet characters

If a representation is irreducible iff $(\chi_V,\chi_V)=\sum_{i=1}^k a_i^2$, wouldn’t that mean that there’s only one $a_i$ and that $a_i=1$?

Reference Request for Orbits of Group Representation

Counterexample in Serre about Artin's induction theorem with $\mathbb{Z}$ coefficients

Explicit construction of induced character from cyclic subgroup of symmetric group

Character Cartan-Killing metric

Zeros of characters

Characters of Lie algebra representations

Character induced from a faithful character is faithful

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