Math 493 & 494, Honors Algebra
The course is taught by Micheal Zieve.
Here are the notes for representation theory:
- Oct. 28, definition
- Nov. 2, irreducible representations, Maschke’s theorem
- Nov. 4, character, irreducible characters form an orthonormal basis
- Nov. 9
The second part of the course(494):
Ring theory:
- Jan. 6, definitions
- Jan. 11, ring homomorphisms
- Jan. 13, ideals
- Jan. 20, ring extensions
- Jan. 25, maximal ideal, fractional fields
- Jan. 27, nullstellenstaz, Bezout’s theorem, ideal contained in maximal ideal
- Feb. 1, Bezout’s theorem, factorization in domains
- Feb. 3, irreducible and prime elements in domains, UFD, Euclidean domains
- [Feb. 8, missing]
- Feb. 10
- [Feb. 15, 17 (missing)]
Field: