Morse groups in symmetric spaces corresponding to the symmetric group

TL;DR

This paper investigates the Morse groups associated with nearby cycles sheaves on nilcones within three classical symmetric spaces, providing new insights into their structure and properties.

Contribution

It offers a detailed description of Morse groups in symmetric spaces related to the symmetric group, advancing understanding in geometric representation theory.

Findings

Explicit descriptions of Morse groups in the studied symmetric spaces

Connections established between Morse groups and symmetric group representations

Enhanced understanding of nearby cycles sheaves in classical symmetric spaces

Abstract

We describe the Morse groups of the nearby cycles sheaves on the nilcones in three classical symmetric spaces.