• Corpus ID: 236772084

Pseudo-symmetric pairs for Kac-Moody algebras

  title={Pseudo-symmetric pairs for Kac-Moody algebras},
  author={Vidas Regelskis and Bart Vlaar},
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… 
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