.. _session_3A: Online Training Session 3, Part A ==================================== 1. Welcome Back ----------------- Welcome. New features in atlas software. Use of git. Instructions on Atlas website. .. raw:: html 2. More on Software Syntax ------------------------------ More software syntax: use of set and ":=". ratmat.at file, rational_inverse, show, ratmat_as_mat. Local variables in strings of functions, use of ";". .. raw:: html 3. More Principle Series Examples --------------------------------------- The all_parameters.at file. More Principal series examples, minimal_principal_series and all_minimal_principal_series commands for non-semisimple and non-split groups. .. raw:: html 4. Representations Attached to Given Cartans ------------------------------------------------ Representations attached to a given Cartan and infinitesimal character/differential: all_parameters_Cartan_gamma; all_parameters. .. raw:: html 5. Slides: KGB Parameters ----------------------------- Slides on K\\G/B parameters: (x,lambda,nu). Case: G has discrete series = distinguished involution is I. .. raw:: html 6. Slides: Finiteness of KGB ---------------------------------- Slides, continued: Finiteness of K\G/B. Parameter set for K\G/B. .. raw:: html 7. Slides: :math:`SL(2,\mathbb{R})` Example ------------------------------------------------- .. raw:: html 8. Slides: continued ------------------------- .. raw:: html