Langlands duality and Poisson–Lie duality via cluster theory and tropicalization

Let G be a connected semisimple Lie group. There are two natural duality constructions that assign to G : its Langlands dual group G ∨ , and its Poisson–Lie dual group G ∗ , respectively. The main result of this paper is the following relation between these two objects: the integral cone defined by...

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Veröffentlicht in:	Selecta mathematica (Basel, Switzerland) Switzerland), 2021-09, Vol.27 (4), Article 69
Hauptverfasser:	Alekseev, Anton, Berenstein, Arkady, Hoffman, Benjamin, Li, Yanpeng
Format:	Artikel
Sprache:	eng
Schlagworte:	Clusters Cones Integrals Isomorphism Lie groups Mathematical analysis Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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