A SURVEY ON ALBERT ALGEBRAS

被引：14
作者：
Petersson, Holger P. [1 ]
机构：
[1] Fernuniv, Math & Informat, D-58084 Hagen, Germany
来源：
TRANSFORMATION GROUPS | 2019年 / 24卷 / 01期
关键词：
SPRINGER-TITS CONSTRUCTIONS; JORDAN ALGEBRAS; ESSENTIAL DIMENSION; OCTONION ALGEBRAS; DIVISION-ALGEBRAS; QUADRATIC-FORMS; BUNDLES; THEOREM; FIELDS; CLASSIFICATION;
D O I：
10.1007/s00031-017-9471-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A fairly complete account will be given of what is presently known about Albert algebras over commutative rings. In particular, we sketch a novel approach to the two Tits constructions of cubic Jordan algebras that yields new insights even when the base ring is a field. The paper concludes with a discussion of cohomological invariants and with a number of open problems.
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页码：219 / 278
页数：60
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