07-1352/Class Notes for March 27

07-1352/Navigation Panel   Back to 06-1350 # Week of... Links 1 Jan 9 About, Notes 2 Jan 16 Notes 3 Jan 23 Notes 4 Jan 30 Notes and Plans 5 Feb 6 Notes 6 Feb 13 Notes R Feb 20 Reading week 7 Feb 27 Notes 8 Mar 6 Notes 9 Mar 13 Notes 10 Mar 20 Notes 11 Mar 27 Notes 12 Apr 3 Map 13 Apr 10 Dancso SP Apr 17 Chu, Sankaran, Amir-Khosravi Suggested Student Topics

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:

From Dror's Some Computations Related to Vassiliev Invariants.

• Coloured stickers and tensor products over $S_{k}$.
• Computing the homology.