2134/19974
Leonardo Aguirre
Leonardo
Aguirre
G. Felder
G.
Felder
Alexander Veselov
Alexander
Veselov
Gaudin subalgebras and wonderful models
Loughborough University
2016
untagged
Mathematical Sciences not elsewhere classified
2016-01-08 10:10:27
Journal contribution
https://repository.lboro.ac.uk/articles/journal_contribution/Gaudin_subalgebras_and_wonderful_models/9387587
Gaudin Hamiltonians form families of r-dimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We consider the set of principal Gaudin subalgebras, which is the closure in the appropriate Grassmannian of the set of spans of Gaudin Hamiltonians. We show that principal Gaudin subalgebras form a smooth projective variety isomorphic to the De Concini–Procesi compactification of the projectivized complement of the arrangement of reflection hyperplanes.