Nagatoshi Sasano
Published 2021-06-16Version 1
The theory of standard pentads is the theory aims to construct a graded Lie algebra whose local part consists of a given Lie algebra and its representation. In other words, using standard pentads, we can embed given Lie algebra and its representation into a larger graded Lie algebra. As special cases of Lie algebras associated with standard pentads, we have the notion of PC Lie algebras. Our aim of this paper is to show that the class of PC Lie algebras contains the class of Kac-Moody algebras, that is, to show that the notion of PC Lie algebras is an extension of Kac-Moody algebras.
Chopped and sliced cones and representations of Kac-Moody algebras
Kac-Moody algebras and the cde-triangle
Pseudo-symmetric pairs for Kac-Moody algebras
![QR code for arXiv:2106.08758 [math.RT]](http://oss.arxitics.com/images/favicon.svg)