Pure and Applied Mathematics Quarterly

Volume 19 (2023)

Number 6

Special Issue in honor of Professor Blaine Lawson’s 80th birthday

Guest Editors: Shiu-Yuen Cheng, Paulo Lima-Filho, and Stephen Shing-Toung Yau

A remark on calibrations and Lie groups

Pages: 2663 – 2673

DOI: https://dx.doi.org/10.4310/PAMQ.2023.v19.n6.a2

Author

Nigel Hitchin (Mathematical Institute, Woodstock Road, Oxford, United Kingdom)

Abstract

We use the notion of the principal three-dimensional subgroup of a simple Lie group to identify certain special subspaces of the Lie algebra and address the question of whether these are calibrated for invariant forms on the group.

Received 8 October 2021

Received revised 12 January 2022

Accepted 16 January 2022

Published 30 January 2024