Work

Invariant spinors on flag manifolds

Year: 2025

Type: article

Abstract: 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.

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x25500120

Authors: Diego Artacho, Uwe Semmelmann

Institutions: Imperial College London, University of Stuttgart

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Award: G5644347969