《SL2(R)(英文版)》講述瞭:Starting with Bargmann's paPer on the tnhmte dimenslonal representattons olSL2(R),the theory of representations of semisimple Lie groups has evolved toa rather extensive production.Some of the main contributors have been:Gelfand-Naimark and Harish-Chandra.who considered the Lorentz group inthe late forties;Gelfand-Nalmark.who dealt with the classical complexgroups.while Harish·Chandra worked out the general reaI case。especiallythrough the derived representation of the Lie algebra.establishing thePlancherel formula (Gclfand-Graev also contributed to the teal case);Cat-tan。Gelfand-Naimark.Godement.Harish.Chandra。who developed thetheory of spherical functions (Godement gave several Bourbaki seminarreports giving proofs for a number of spectral results not accessible other-wise);Selberg,who took the group modulo a discrete subgroup and obtainedthe trace formula;Gelfand.Fomin,Piateckii.Shapiro,and Harish.Chandra,who established connections with automorphic forms;Jacquet-Lanlands,who pushed through the connection with L-series and Hecke.
發表於2024-11-08
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