Vol. 50, No. 1, 1974

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The center of a simple algebra

Timothy V. Fossum

Vol. 50 (1974), No. 1, 43–45
Abstract

The following theorem is proved: Let A be a finite-dimensional simple K-algebra, K a field. If E is an extension of K and if M is an absolutely irreducible left A K E-module with character χ;AKE E, then χ(A) is a subfield of E which is K-isomorphic to the center of A.

Mathematical Subject Classification 2000
Primary: 16A40
Secondary: 20C05
Milestones
Received: 28 September 1972
Published: 1 January 1974
Authors
Timothy V. Fossum