Springer correspondence for symmetric spaces

2019/09/15 by Toshiaki Shoji, Shoji, Toshiaki
Chemistry · Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1909.06744

openalex publication_date 2019/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey article on the Springer correspondence for symmetric spaces. We discuss various generalization of the theory of the Springer correspondence for reductive groups to symmetric spaces and exotic symmetric spaces associated to classical groups.

Related

• From groups to symmetric spaces
• Generalized Springer correspondence for symmetric spaces associated to orthogonal groups
• Springer correspndence for complex reflection groups
• Symmetric spaces associated to classical groups with even characteristic
• Notes on symmetric spaces