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3 votes
0 answers
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Schur functors = Weyl functors in characteristic zero?

In the paper `Schur functors and Schur complexes' by Akin et al., the notion of a Schur functor had been defined for the first time over an arbitrary commutative ring $R$. To recall the definition (I ...
Sunny Sood's user avatar
1 vote
0 answers
56 views

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 ...
Tereza Tizkova's user avatar
2 votes
0 answers
285 views

Schur and Weyl modules.

Let $m$ be a non-negative integer and $\lambda=(\lambda_1, \cdots, \lambda_s)$ a partition of $m$. If $V$ is a vector space of dimension $n$ (over a field $\mathbb{K}$), we can consider the Schur ...
Emiliano Inguscio's user avatar