Spin Structures of Kac-Moody Type

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.

References in corpus (3)

• Hidden symmetries and the fermionic sector of eleven-dimensional supergravity
• Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds
• Affine Kac-Moody symmetric spaces