Decomposing locally compact groups into simple pieces

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We start this short note by introducing two remarkable mathematical objects: the E8E8 root lattice Lambda8Lambda8 in 8-dimensional Euclidean space and the Leech lattice Lambda24Lambda24 in 24-dimensional space. These two lattices stand out among their lat ...

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Let u(q)(g) be the small quantum group associated with a complex semisimple Lie algebra g and a primitive root of unity q, satisfying certain restrictions. We establish the equivalence between three different actions of g on the center of u(q)(g) and on th ...

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Two dynamical systems are topologically equivalent when their phase-portraits can be morphed into each other by a homeomorphic coordinate transformation on the state space. The induced equivalence classes capture qualitative properties such as stability or ...

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Decomposing locally compact groups into simple pieces

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Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation

Spectra of non-regular elements in irreducible representations of simple algebraic groups

Almost impossible E_8 and Leech lattices

Spherical birational sheets in reductive groups

On complete reducibility of tensor products of simple modules over simple algebraic groups

Reaching Paris Agreement goal through carbon dioxide removal development: A compact OR model

Invariant Integrals on Topological Groups and Applications

Remarks on the derived center of small quantum groups

Experimental Evaluation of Steel Columns under Seismic Hazard-Consistent Collapse Loading Protocols

Topological Linear System Identification via Moderate Deviations Theory

Simple groups of birational transformations in dimension two