Rational central simple algebras

Zinovy Reichstein, Nikolaus Vonessen

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce a notion of rationality (called toroidal or t-rationality) for central simple algebras which extends Demazure's characterization of rational algebraic varieties via torus actions. We prove a structure theorem for t-rational central simple algebras and study the interplay among t-rationality, crossed products and rationality of the center in the setting of universal division algebras.

Original languageEnglish
Pages (from-to)253-280
Number of pages28
JournalIsrael Journal of Mathematics
Volume95
DOIs
StatePublished - 1996

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