Analytic subgroups of affine algebraic groups. II

Andy R. Magid

Vol. 86 (1980), No. 1, 145–154

DOI: 10.2140/pjm.1980.86.145

Abstract

Let H be Zariski-dense analytic subgroup of the connected linear complex algebraic group G. It is known that there is a torus T in G with G = HT and H ∩ T discrete in H. This paper gives equivalent conditions for H ∩ T to be trivial, and considers the connection between these conditions and left algebraic group structures on H induced from the coordinate ring of G.

Mathematical Subject Classification 2000

Primary: 22D99

Secondary: 20G20

Milestones

Received: 3 April 1978

Published: 1 January 1980