A Jordan-Holder Theorem for differential algebraic groups

作者：Cassidy Phyllis J; Singer Michael F^*

来源：Journal of Algebra, 2011, 328(1): 190-217.

DOI：10.1016/j.jalgebra.2010.08.019

• Differential algebra
• Differential algebraic groups
• Jordan-Holder Theorem
• Linear partial differential equations

We show that a differential algebraic group can be filtered by a finite subnormal series of differential algebraic groups such that successive quotients are almost simple, that is have no normal subgroups of the same type. We give a uniqueness result, prove several properties of almost simple groups and, in the ordinary differential case, classify almost simple linear differential algebraic groups.

• 出版日期2011-2-15