Tannakian approach to linear differential algebraic groups

被引：16

作者：

Ovchinnikov, Alexey ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

TRANSFORMATION GROUPS | 2008年 / 13卷 / 02期

基金：

美国国家科学基金会;

关键词：

Hopf Algebra; Algebraic Group; Erential Representation; Faithful Representation; Coordinate Ring;

D O I：

10.1007/s00031-008-9010-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Tannaka's theorem states that a linear algebraic group G is determined by the category of finite-dimensional G-modules and the forgetful functor. We extend this result to linear differential algebraic groups by introducing a category corresponding to their representations and show how this category determines such a group.

引用

页码：413 / 446

页数：34

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