For loop groups, the authors construct a Borel-Serre type bordification whose boundary is homotopic to an affine rational Tits building, and introduce canonical pairs and a semi-stability partition.
Murray,Strong integrality of inversion subgroups of Kac-Moody groups, J
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Borel--Serre type bordifications and Canonical Pairs for Loop groups
For loop groups, the authors construct a Borel-Serre type bordification whose boundary is homotopic to an affine rational Tits building, and introduce canonical pairs and a semi-stability partition.