en
Scientific article
Open access
English

Pure Spinors on Lie groups

Published inAstérisque, no. 327, p. 131-199
Publication date2010
Abstract

For any manifold M, the direct sum TM oplus T*M carries a natural inner product given by the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for the corresponding Clifford bundle, and in particular there is a notion of emph{pure spinor}. In this paper, we study pure spinors and Dirac structures in the case when M=G is a Lie group with a bi-invariant pseudo-Riemannian metric, e.g. G semi-simple. The applications of our theory include the construction of distinguished volume forms on conjugacy classes in G, and a new approach to the theory of quasi-Hamiltonian G-spaces.

Classification
  • arxiv : math.DG
Citation (ISO format)
ALEKSEEV, Anton, BURSZTYN, Henrique, MEINRENKEN, Eckhard. Pure Spinors on Lie groups. In: Astérisque, 2010, n° 327, p. 131–199.
Main files (1)
Article (Accepted version)
accessLevelPublic
Identifiers
ISSN of the journal0303-1179
571views
149downloads

Technical informations

Creation10/01/2010 10:25:00 AM
First validation10/01/2010 10:25:00 AM
Update time03/14/2023 4:07:20 PM
Status update03/14/2023 4:07:20 PM
Last indexation01/15/2024 9:41:39 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack