07-1352/Class Notes for March 27: Difference between revisions

Latest revision as of 14:52, 27 March 2007

Today's Agenda.

Decisions regarding student presentations.
PBW for ${\mathcal {A}}(\uparrow )$ .
PBW for ${\mathcal {A}}(\uparrow _{n})$ .
The VS structure on ${\mathcal {A}}(\uparrow _{\star })$ and on ${\mathcal {B}}_{\star }$ .
The algebra structure on ${\mathcal {A}}$ and ${\mathcal {B}}$ .
The graded representations ${\mathcal {E}}_{k}$ and their decompositions into irreducibles:

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 {{07-1352/Navigation}}
-{{In Preparation}}
+'''Today's Agenda.'''
+* Decisions regarding student presentations.
+* PBW for <math>{\mathcal A}(\uparrow)</math>.
+* PBW for <math>{\mathcal A}(\uparrow_n)</math>.
+* The VS structure on <math>{\mathcal A}(\uparrow_\star)</math> and on <math>{\mathcal B}_\star</math>.
+* The algebra structure on <math>{\mathcal A}</math> and <math>{\mathcal B}</math>.
+* The graded representations <math>{\mathcal E}_k</math> and their decompositions into irreducibles:
+[[Image:07-1352 Unitrivalents in Irreducibles.png|thumb|center|640px|From {{Dror}}'s [http://www.math.toronto.edu/~drorbn/LOP.html#Computations Some Computations Related to Vassiliev Invariants].]]
+* Coloured stickers and tensor products over <math>S_k</math>.
+* Computing the homology.