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The infinitesimal cone of a totally positive semigroup
Authors:Konstanze Rietsch
Affiliation:Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Abstract:Given a complex reductive linear algebraic group split over $mathbb {R}$ with a fixed pinning, it is shown that all elements of the Lie algebra $ mathfrak {g}$ infinitesimal to the totally positive subsemigroup $G_{ge 0}$ of $G$ lie in the totally positive cone $ mathfrak {g}_{ge 0}subset mathfrak {g} $.

Keywords:Total positivity   linear algebraic groups
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