A Cartan subalgebra admits a wonderful compactification whose boundary components, affine paving, and cohomology are governed by the root system and its Coxeter arrangement.
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Wonderful Compactification of a Cartan Subalgebra of a Semisimple Lie Algebra
A Cartan subalgebra admits a wonderful compactification whose boundary components, affine paving, and cohomology are governed by the root system and its Coxeter arrangement.