Total Positivity in Symmetric Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 04 Oct 2022Embargo end date: 01 Jan 2021 English Publisher:American Mathematical Society (AMS)Journal:Representation Theory, volume 26, pages 1,025-1,046 (eissn: 1088-4165,

Copyright policy )Funded by:NSF | Geometric Methods in the ...

Authors: Lusztig, G.;

doi: 10.1090/ert/628 , 10.48550/arxiv.2107.13447

arXiv: 2107.13447

Total Positivity in Symmetric Spaces

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Abstract

In this paper we extend the theory of total positivity for reductive groups to the case of symmetric spaces.

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Massachusetts Institute of Technology
United States

Keywords

Representation theory for linear algebraic groups, symmetric space, reductive group, total positivity, FOS: Mathematics, Representation Theory (math.RT), Mathematics - Representation Theory

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NSF| Geometric Methods in the Representation Theory of Affine Hecke Algebras, Finite Reductive Groups, and Character Sheaves