MA 721: Abstract Algebra (Spring 2019)

Instructor: Tye Lidman

E-mail: tlid 'at' math 'dot' ncsu 'dot' edu

Office: SAS 3246

Office Hours: Tu 2-3PM, W 11-12PM

Course Location: 1220 SAS Hall

Course Time: TuTh 10:15-11:30AM

Course Syllabus

Lectures

Basics on homology and exact sequences (1/8, 1/10)

Modules (1/15)

Free modules and other constructions (1/17)

Projective modules (1/22)

Hom spaces (1/24)

More on Hom spaces (1/29)

Tensor products (1/31)

Tor and group homology (2/5)

Cohomology (2/7)

Finitely-generated modules and Smith normal form (2/12-2/26)

Miscellaneous modules (2/28)

Artinian and Noetherian rings, primary ideals (3/5, 3/7)

Integral ring extensions (3/19)

Algebraic geometry (3/21, 3/26)

Multilinear algebra (3/28)

Symmetric and exterior algebras (4/2)

Representations (4/4)

More on representations (4/9, 4/11)

Characters and irreducibles (4/16, 4/18)

More on characters and dimensions (4/23)

Applications of group homology (4/25)

Homework

Homework 1 (Due 1/17)

Homework 2 (Due 1/24)

Homework 3 (Due 1/31)

Homework 4 (Due 2/7)

Homework 5 (Due 2/14)

Homework 6 (Due 2/21)

Homework 7 (Due 2/28)

Homework 8 (Due 3/21)

Homework 9 (Due 3/28)

Homework 10 (Due 4/4)

Homework 11 (Due 4/11)

Homework 12 (Due 4/18)

Homework 13 (Due 4/26)