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 language | English |
---|---|
Pages (from-to) | 795-805 |
Number of pages | 11 |
Journal | Journal of Algebra |
Volume | 163 |
Issue number | 3 |
DOIs | |
State | Published - 1 Feb 1994 |
Externally published | Yes |