Math 480, Spring 2014, Assignment 5
From cartan.math.umb.edu
Carefully define the following terms, then give one example and one non-example of each:[edit]
- Complete symmetric polynomial.
- Power sum.
- Homogeneous polynomial.
- Finite matrix group.
- Invariant polynomial (for a given finite matrix group.)
- Reynolds operator.
Carefully state the following theorems (you need not prove them):[edit]
- Noether's degree bound.
Solve the following problems:[edit]
- Section 7.2, problems 3 and 14(a-c).
- Section 7.3, problems 3 and 7.