Vol. 77, No. 1, 1978

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Extensions of pro-affine algebraic groups

Brian Lee Peterson

Vol. 77 (1978), No. 1, 189–231

Our objective is to make a series of reductions for the problem of computing Ext in the category of pro-affine algebraic groups over an algebraically closed field of characteristic zero, exploiting the notions of unipotence, reductiveness, and group coverings. After examining some of the properties of Ext in a more general categorical setting, due to G. Hochschild, we discuss the multiplicative character theory for our groups and obtain several consequences of simple connectedness before proceeding to the main objective.

Mathematical Subject Classification 2000
Primary: 14L25, 14L25
Secondary: 18G99
Received: 14 July 1977
Published: 1 July 1978
Brian Lee Peterson