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arxiv: 1509.03146 · v3 · pith:J4Y74Q3Dnew · submitted 2015-09-10 · 🧮 math.RT · math.GR· math.MG

Root operators, root groups and retractions

classification 🧮 math.RT math.GRmath.MG
keywords rootoperatorsretractionsadditionbruhat-titsbuildingconnectiondatum
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We prove that the Gaussent--Littelmann root operators on galleries can be expressed purely in terms of retractions of a (Bruhat-Tits) building. In addition we establish a connection to the root datum at infinity.

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