Spin Structures of Kac-Moody Type
Amir Farahmand Parsa
TL;DR
This paper investigates the conditions under which spin structures exist on affine Kac-Moody symmetric spaces and introduces a spin-c representation for specific Kac-Moody subgroups, expanding understanding of their geometric and algebraic properties.
Contribution
It provides new criteria for the existence of spin structures on affine Kac-Moody symmetric spaces and constructs a spin-c representation for certain Kac-Moody quadratic subgroups.
Findings
Established sufficient conditions for spin structures on affine Kac-Moody symmetric spaces.
Constructed a spin-c representation for specific Kac-Moody quadratic subgroups of type E.
Enhanced understanding of the geometric and algebraic structures of Kac-Moody groups.
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Nonlinear Waves and Solitons