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math-ph2026
Orthogonal pairs of Euler elements II: Geometric Bisognano--Wichmann and Spin--Statistics Theorems
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
Models in Algebraic Quantum Field Theory (AQFT) may be generalized including Lie groups of symmetries whose Lie algebras admit an Euler element , characterized by the property t…
math.FA2026
Infinite-Dimensional Lie Groups
Helge Gloeckner, Karl-Hermann Neeb
This is a preliminary version of a book on infinite-dimensional Lie groups. It covers the basics of calculus and manifolds in the context of locally convex spaces, based on Bastian…
math.SG2026
A classification of coadjoint orbits carrying Gibbs ensembles
Karl-Hermann Neeb
A coadjoint orbit of a Lie group is said to carry a Gibbs ensemble if the set of all , for which the function $α\mapsto e^{-…