Mathematical Research Letters

Volume 25 (2018)

Number 3

Central leaves in loop groups

Pages: 989 – 1008

DOI: https://dx.doi.org/10.4310/MRL.2018.v25.n3.a13

Authors

Eva Viehmann (Fakultät für Mathematik, Technische Universität München, Germany)

Han Wu (Fakultät für Mathematik, Technische Universität München, Germany)

Abstract

We analyse the finer structure of Newton strata in loop groups. These can be decomposed into so-called central leaves. We define them, and determine their global geometric structure. We then study the closure of central leaves, both by proving some general properties and by considering an illustrative example.

Received 31 August 2016

Accepted 9 March 2017

Published 3 August 2018