CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS

Alexander Braverman, David Kazhdan

Research output: Contribution to journalArticlepeer-review

Abstract

In this note we formulate and prove a version of Cartan decomposition for holomorphic loop groups, similar to Cartan decomposition for p-adic loop groups, discussed in [3], [6]. The main technical tool that we use is the (well-known) interpretation of twisted conjugacy classes in the holomorphic loop group in terms of principal holomorphic bundles on an elliptic curve.

Original languageEnglish
Pages (from-to)303-311
Number of pages9
JournalTransformation Groups
Volume19
Issue number2
DOIs
Publication statusPublished - Jun 2014
Externally publishedYes

Fingerprint

Dive into the research topics of 'CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS'. Together they form a unique fingerprint.

Cite this