Projective Schur Division Algebras Are Abelian Crossed Products

Eli Aljadeff, Jack Sonn

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Let k be a field. A projective Schur Algebra over k is a finite-dimensional k-central simple algebra which is a homomorphic image of a twisted group algebra kαG with G a finite group and α ∈ H2(G, k*). The main result of this paper is that every projective Schur division algebra is an abelian crossed product (K/k, f(hook)), where K is a radical extension of k.

Original languageEnglish
Pages (from-to)795-805
Number of pages11
JournalJournal of Algebra
Volume163
Issue number3
DOIs
StatePublished - 1 Feb 1994
Externally publishedYes

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