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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

1 vote
0 answers
175 views

Rational representations of semi-direct product

Let $P$ be a finite $p$-group ($p$ prime) and $C$ a finite cyclic group of order coprime to $p$. What can we say about the representation ring of a semi-direct product $R_{\mathbb Q}(P \rtimes C )$? …
Dimitrios's user avatar
4 votes
2 answers
674 views

When is a class function on a group G (finite abelian) into the rational numbers Q an elemen...

Given a class function $f: G \to \mathbb Q$, where $G$ is a finite abelian group, is there an easy way to decide whether $f$ is an element of the rational representation ring $R_{\mathbb Q}(G)$, i.e. …
Dimitrios's user avatar