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math-ph2025
Three Dixon-Rosenfeld Planes
David Chester, Alessio Marrani, Daniele Corradetti +1
Rosenfeld postulated ``generalized'' projective planes, which exploit a correspondence between rank-one idempotents of Jordan algebras and points of pr…
math-ph2024
A Kac-Moody algebra associated to the non-compact manifold SL
Rutwig Campoamor-Strusberg, Alessio Marrani, Michel Rausch de Traubenberg
We construct explicitly a Kac-Moody algebra associated to SL in two different but equivalent ways: either by identifying a Hilbert basis of SL$(2, \mathbb R))…
math-ph2024
An infinite-rank Lie algebra associated to SL and SL
Rutwig Campoamor-Stursberg, Alessio Marrani, Michel Rausch de Traubenberg
We construct a generalised notion of Kac-Moody algebras using smooth maps from the non-compact manifolds SL and SL to a fi…