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math.RT2024
On convexity and the Iwasawa decomposition of split real and complex Kac-Moody groups
Paul Zellhofer, Ralf Köhl
We prove an analogue of Kostant's convexity theorem for split real and complex Kac-Moody groups associated to free and cofree root data. The result can be seen as a first step towa…
math.RT2021★ 12 cited
Representations of involutory subalgebras of affine Kac-Moody algebras
Axel Kleinschmidt, Ralf Köhl, Robin Lautenbacher +1
We consider the subalgebras of split real, non-twisted affine Kac-Moody Lie algebras that are fixed by the Chevalley involution. These infinite-dimensional Lie algebras are not of…
math.RT2017★ 2 cited
Extending generalized spin representations
Robin Lautenbacher, Ralf Köhl
We revisit the construction of higher spin representations by Kleinschmidt and Nicolai for E10, generalize it to arbitrary simply laced types, and provide a coordinate-free approac…