Representation theory and gomological algebra M2 [English] - UGA

Instructors:

Claire AMIOT - Estanislao HERSCOVICH

Course texts:

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

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

Exercises:

Algebras and modules.

Category of modules.

Decomposition.

More on complexes.

Final exam (with solutions).

Bibliography:

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.