Student Algebra and Representation Theory Seminar (StARTS)

Collection of References

Here is a list of references deemed accessible to graduate students learning representation theory, sorted vaguely by topic. Please contact the organizer if you'd like to add to this list!

Updated September 29, 2025

Group schemes, algebraic groups, reductive groups, and representations

1. Introduction to Affine Group Schemes -- Waterhouse, William C., 1979; Springer-Verlag.
2. Young Tableaux: With Applications to Representation Theory and Geometry -- Fulton, William, 1996; London Mathematical Society Student Texts.
3. Representations of Algebraic Groups -- Jantzen, Jens Carsten, 2003; AMS Mathematical Surveys and Monographs.
4. Algebraic Groups -- Milne, J.S., 2017; Cambridge University Press.
5. Reductive Groups -- Milne, J.S., 2018; Course notes.

Modular representation theory, cohomology, and tensor-triangular geometry

1. Representations and Cohomology I -- Benson, David J., 1991; Cambridge University Press.
2. Representations and Cohomology II -- Benson, David J., 1991; Cambrige University Press.