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math.RT2019
A gallery model for affine flag varieties via chimney retractions
Elizabeth Milićević, Yusra Naqvi, Petra Schwer +1
This paper provides a unified combinatorial framework to study orbits in certain affine flag varieties via the associated Bruhat-Tits buildings. We first formulate, for arbitrary a…
math.RT2010★ 41 cited
Classification of hyperbolic Dynkin diagrams, root lengths and Weyl group orbits
Lisa Carbone, Sjuvon Chung, Leigh Cobbs +4
We give a criterion for a Dynkin diagram, equivalently a generalized Cartan matrix, to be symmetrizable. This criterion is easily checked on the Dynkin diagram. We obtain a simple…