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Questions about the branch of algebra that deals with groups.

2 votes
3 answers
511 views

Irreducible representations of $\text{SL}(2, \mathbb{F}_q)$ which don't exist in decomposition?

Let $\mathbb{F}$ be a finite field with $q$ elements, and let $G = \text{SL}_2(\mathbb{F})$. The group $G$ acts linearly on the $2$-dimensional vector space $\mathbb{F}^2$ and fixes the origin $0$. He …