Software · Archive
Online training: session 4, part A (March 29, 2016)
Archived page from the old site: recordings of the online training sessions held in February–March 2016. The embedded player of the old page no longer works; the links below open the recordings on YouTube.
Recordings of the online video training sessions. Go to the online training page.
Here is the terminal output.
Watch the recording on YouTube. The topics below link to the point in the recording where each begins.
- Welcome. Outline. Parameters p=(x,lambda, nu). Infinitesimal character. Equivalence of parameters. Canonical bijections parameters<->std, irr modules. Composition series, Character formula, KL polynomials.
- New atlas version 0.6.3 and new .at files.
- Example: Review of G=SL(2,R), trivial; DS, Harish Chandra parameters; block of the trivial.
- Example: PGL(2,R): trivial; DS, effect of disconnectedness.
- Example: Sp(4,R). block_of_the_trivial(G). Representations of G associated to intermediate Cartans. Example:element 4 in block, KGBElt x=5: cuspidal_data command: Parabolic subgroup P and (relative) DS representation of Levi factor M attached to an atlas parameter p. Levi command.
- Example Sp(4,R), KGBElt x=5 continued: induce_standard vs induce_irreducible. show(composition_series( )) and show(character_formula(( ))
- Sp(4,R), continued. Cross action, representations on same Cartan and same Levi factor: elements 4,5,7,8 in the block, KGBElts x=5,6,7,8.
- Sp(4,R): Reps. on the other intermediate Cartan: elements 6,9; KGBElts x=4,9. Summary of all reps in block.
- Columns of the print_block output
Return to online-training page for information about upcoming training sessions.