UNITARY GRASSMANNIANS OF DIVISION ALGEBRAS

被引：0
作者：
NIKITA A. KARPENKO
机构：
[1] University of Alberta,Mathematical & Statistical Sciences
来源：
Transformation Groups | 2016年 / 21卷
关键词：
Division Algebra; Chow Group; Central Simple Algebra; Central Division; Witt Index;
D O I：
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学科分类号：
摘要：
We consider a central division algebra over a separable quadratic extension of a base field endowed with a unitary involution and prove 2-incompressibility of certain varieties of isotropic right ideals of the algebra. The remaining related projective homogeneous varieties are shown to be 2-compressible in general. Together with [17], where a similar issue for orthogonal and symplectic involutions has been treated, the present paper completes the study of Grassmannians of isotropic right ideals of division algebras.
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页码：115 / 127
页数：12
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