Three theorems on common splitting fields of central simple algebras |
| |
Authors: | Nikita A Karpenko |
| |
Institution: | 1. Mathematisches Institut, Westf?lische Wilhelms-Universit?t, Einsteinstra?e 62, D-48149, Münster, Germany
|
| |
Abstract: | LetA 1, …A n be central simple algebras over a fieldF. Suppose that we possess information on the Schur indexes of some tensor products of (some tensor powers of) the algebras. What can be said (in general) about possible degrees of finite field extensions ofF splitting the algebras? In Part I, we prove a positive result of that kind. In Part II, we prove a negative result. In Part III, we develop a general approach. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|