All Questions
Tagged with young-tableaux characters
5
questions
1
vote
0
answers
56
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Character of the irreducible representation $ψ^λ$ : $S_4$ → $Aut_C(S^λ)$
I am struggling with these exercise from group representations and would really appreciate some steps to take or sources with similar exercises.
The task is to compute the character of the irreducible ...
- 2,498
0
votes
0
answers
94
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Computing the characters of $\mathbf{1}_{D_n} \uparrow^{S_n}_{D_n}$
How can I compute the characters of the induced representation $\mathbf{1}_{D_n} \uparrow^{S_n}_{D_n}$?
Here, $S_n$ is the symmetric group over $n$ symbols and $D_n$ is the dihedral group of order $2 ...
- 559
2
votes
1
answer
405
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Characters of permutation representations for $S_4$
I am going through the lecture note How to get character tables of symmetric groups.
On page 2, it computes the character table of $S_4$. The procedure starts with building the table of the ...
- 559
1
vote
0
answers
204
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Product of standard and sign representation of $S_5$
I am able to work out the sign representation of $S_5$ and standard representation of $S_5$.
How do I compute the product of standard and sign representation of $S_5$?
What kind of product do I need ...
- 559
0
votes
2
answers
913
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Standard representation of $S_5$
I am trying to determine the standard representation of $S_5$. I understand that it will be a map from group elements to $\mathbb{C}^4$. The character table is as follows.
I understand that the ...
- 559