Representation theory and homological algebra

Fall 2020

Claire AMIOT - Estanislao HERSCOVICH

Lectures on representation theory (draft version, by Claire Amiot).

Lectures on basic homological algebra, with exercises (draft version, by Estanislao Herscovich).

Algebras and modules.

Category of modules.

Decomposition.

More on complexes.

Final exam (with solutions).

Assem, Ibrahim. Algèbres et modules : cours et exercices. Presse de l'Université d'Ottawa, 1997. v+330 pp.

Assem, Ibrahim; Simson, Daniel; Skowroński, Andrzej. Elements of the representation theory of associative algebras. Vol. 1. Techniques of representation theory. London Mathematical Society Student Texts, 65. Cambridge University Press, Cambridge, 2006. x+458 pp.

Weibel, Charles A. An introduction to homological algebra. Cambridge Studies in Advanced Mathematics, 38. Cambridge University Press, Cambridge, 1994. xiv+450 pp.

Cartan, Henri; Eilenberg, Samuel Homological algebra. With an appendix by David A. Buchsbaum. Reprint of the 1956 original. Princeton Landmarks in Mathematics. Princeton University Press, Princeton, NJ, 1999. xvi+390 pp.

The course will start on September 14th.