Skip to content

Commit

Permalink
Fixed induced character formula.
Browse files Browse the repository at this point in the history
  • Loading branch information
ghseeli committed Nov 28, 2017
1 parent bb69197 commit 7015f40
Showing 1 changed file with 1 addition and 1 deletion.
Original file line number Diff line number Diff line change
Expand Up @@ -1190,7 +1190,7 @@ \section{Induced Representations}
\begin{defn}
Let \(\phi \in \Class(H)\) for \(H \subgroup G\). Then, we define
the \de{induced class function} on \(G\) by \[
\Ind_H^G(\phi)(g) := \sum_{s \in G/H} \tilde{\phi}(s^{-1}gs) = \frac{1}{|H|}\sum_{t \in
\Ind_H^G(\phi)(g) := \sum_{s \in G/H, s^{-1}gs \in H} \tilde{\phi}(s^{-1}gs) = \frac{1}{|H|}\sum_{t \in
G} \tilde{\phi}(t^{-1}gt)
\]
where \[
Expand Down

0 comments on commit 7015f40

Please sign in to comment.