Masures associated with split Kac--Moody groups over valued fields

Key Points

• The aim is to construct masures linked to split Kac--Moody groups over valued fields and to validate these against an existing axiomatic framework.
• Introduced an axiomatic framework for masures based on Rousseau's definitions.
• Constructed the masure specific to split Kac--Moody groups over valued fields.
• Successfully constructed the masure for split Kac--Moody groups.
• Proved that the constructed masure adheres to the established axiomatic structure.