(\mathfrak{k}\)-structure of basic representation of affine algebras

• Published in: arXiv.org
• Main Author: König, Benedikt
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 17.07.2024
• Subjects: Representations; Supergravity

This article presents a new relation between the basic representation of split real simply-laced affine Kac-Moody algebras and finite dimensional representations of its maximal compact subalgebra \(\mathfrak{k}\). We provide infinitely many \(\mathfrak{k}\)-subrepresentations of the basic representa...