Invariant spinors on flag manifolds
In this paper, we characterize the existence of nontrivial invariant spinors on maximal flag manifolds associated to complex simple Lie algebras. This characterization is based on the combinatorial properties of their set of positive roots. We also give some bounds for the dimension of the space of invariant spinors in each case.
Authors
- Uwe Semmelmann (ORCID: https://orcid.org/0000-0002-1226-2660)
- Diego Artacho (ORCID: https://orcid.org/0000-0003-2345-5043)
Institutions
- University of Stuttgart (DE)
- Imperial College London (GB)
Publication Details
- Journal
- International Journal of Mathematics
- Published
- 2025-02-21
- DOI
- https://doi.org/10.1142/s0129167x25500120
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00