East
African Summer School on Commutative Algebra and Algebraic Geometry
August 9-20, 2004
University of Nairobi, Kenya
Day 1:
- Getting started on CoCoA
- Using help
- Solve problems from class
handouts 1
Day 2:
- Ideal membership
- Algebra membership problem (e.g. write x^4+y^4+z^4 as algebraic
combination of e1=x+y+z, e2=xy+xz+yz, e3=xyz)
- Polynomial invariants of a group of matricies
- Reynolds operator
Day 3:
- Plüker coordinates
- Calculating the quadratic relations on the coordinates
handouts 2 A B C
Day 4:
- Calculate the Hilbert series of a ring of invariants using
Molien's Theorem
- Compare dimensions of invariants found by Reynolds operators to
Hilbert series
- Determine generators for the ring of invariants of the group
handouts 3