arXiv: Representation Theory | 2019
Total positivity in reductive groups, II
Abstract
0.1. The theory of totally positive real matrices (see [P11]) has been developed in the 1930’s by I.Schoenberg and independently by F.Gantmacher and M.Krein after earlier contributions by M.Fekete and G.Polya (1912) and with later contributions by A.Whitney and C.Loewner (1950’s). In [L94] I extended a part of this theory by replacing the group SLn(R) by an arbitrary split semisimple real Lie group G. This paper is a continuation of [L94].