# Pseudo-symmetric pairs for Kac-Moody algebras

@inproceedings{Regelskis2021PseudosymmetricPF, title={Pseudo-symmetric pairs for Kac-Moody algebras}, author={Vidas Regelskis and Bart Vlaar}, year={2021} }

Lie algebra involutions and their fixed-point subalgebras give rise to symmetric spaces and real forms of complex Lie algebras, and are well-studied in the context of symmetrizable KacMoody algebras. In this paper we propose a generalization. Namely, we introduce the concept of a pseudo-involution, an automorphism which is only required to act involutively on a stable Cartan subalgebra, and the concept of a pseudo-fixed-point subalgebra, a natural substitute for the fixedpoint subalgebra. In…

## 2 Citations

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