Positivity and higher Teichmüller theory

Abstract:

We introduce Θ-positivity, a new notion of positivity in real semisimple Lie groups. The notion of Θ-positivity generalizes at the same time Lusztig’s total positivity in split real Lie groups as well as well known concepts of positivity in Lie groups of Hermitian type. We show that there are two other families of Lie groups, \SO(p,q) for p

SEEK ID: https://publications.h-its.org/publications/889

DOI: 10.4171/176-1/13

Research Groups: Groups and Geometry

Publication type: InCollection

Journal: European Congress of Mathematics

Book Title: European Congress of Mathematics

Citation: European Congress of Mathematics,pp.289-310,European Mathematical Society Publishing House

Date Published: 6th Aug 2018

Registered Mode: imported from a bibtex file

Authors: Olivier Guichard, Anna Wienhard

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Citation
Guichard, O., & Wienhard, A. (2018). Positivity and higher Teichmüller theory. In European Congress of Mathematics (pp. 289–310). EMS Press. https://doi.org/10.4171/176-1/13
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Created: 7th Jan 2020 at 22:31

Last updated: 5th Mar 2024 at 21:24

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