Spin Structures of Kac-Moody Type

2017/10/30 by Parsa, Amir Farahmand
#20G44 #22E65 #22E67 #46T05 #46T10 #53C35 #55R65 #58B25 #81R10 #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1710.10813

Abstract

We study spin structures on affine Kac-Moody symmetric spaces and obtain sufficient conditions for their existence. As a by product of this, we obtain a spin-c representation of certain Kac-Moody quadratic subgroups of type E.

Related

• Generalized spin representations
• Affine Kac-Moody symmetric spaces
• Kac-Moody symmetric spaces of Euclidean type
• Higher spin representations of maximal compact subalgebras of simply-laced Kac-Moody-algebras
• Kac-Moody geometry