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3 votes
0 answers
134 views

Generalized wreath products of commutative algebras with Hopf algebras

Fix $k$ a commutative ring (or, if more convenient, assume it’s a field or even an algebraically closed field of characteristic 0, which is the case I’m mainly interested in). Let $A$ be a unital ...
David Gao's user avatar
  • 2,830
2 votes
0 answers
53 views

Subalgebra of a crossed product central division algebra, generated by powers of group elements

Let $k=\mathbb C$, let $K$ be a finite extension of the field $k(X_1,X_2,X_3)$ of rational functions in $3$ variables, let $L/K$ be a finite Galois extension of commutative fields and let the Galois ...
Łukasz Grabowski's user avatar
6 votes
2 answers
193 views

Reference for a Maschke lemma for crossed products

Can someone provide a reference for the following Maschke lemma: If $C$ is a semisimple algebra over a field of characteristic zero and $G$ is a finite group acting on $C$ by automorphisms, then $C \...
fred goodman's user avatar