Foundations of Representation Theory (V3A3/F4A1), Winter 2018/2019

Lecturer: Hans Franzen
Office hours: Please make an appointment by mail.

Lecture

Tuesday, 16(ct)--18 Uhr, Grosser Hoersaal, Wegelerstr. 10.
Friday, 8(ct)--10 Uhr, Grosser Hoersaal, Wegelerstr. 10.

Contents and Literature

Foundations of homological algebra and applications in representation theory

• Assem - Simson - Skowronski --- Elements of the Representation Theory of Associative Algebras, LMS Student Texts
• MacLane --- Categories for the Working Mathematician, Springer
• Kashiwara - Shapira --- Sheaves on Manifolds (Kapitel I), Springer
• Weibel --- An Introduction to Homological Algebra Algebra, Cambridge Studies in Advanced Math.

Exercise sheets

• Sheet 1
• Sheet 2 (Ex. 2 (i) and Ex. 4 corrected)
• Sheet 3
• Sheet 4
• Sheet 5 (Clarification in Ex. 4 as to what the objects and what the morphisms are)
• Sheet 6
• Sheet 7 (Ex. 4 corrected)
• Sheet 8
• Sheet 9
• Sheet 10 (Ex. 1(iv,v) and 2 corrected)
• Sheet 11
• Sheet 12 (Ex. 3(ii) corrected. Hint to Ex. 2(i) added.)
• Sheet 13

Exercise classes

The exercise classes start in the second week.

• Group 1: Wed 08--10, 0.011, Nils Wassmuth
• Group 2: Wed 16--18, 0.011, Calvin Pfeifer
• Group 3: Thu 12--14, N0.003, Felix Schremmer

First exam

Please note the change of venue for the first exam!

• Tue 05.02., 9-11, Grosser Hoersaal
• Here is the exam and the solutions to the exam.

Second exam

• Mon 25.03., 9-11, Kleiner Hoersaal
• Here is the second exam and the solutions.
• Review of the exam: Wed 27.03., 13-14, 0.011