====== MA8205 Representation theory of algebras ====== The oral exams will take place on **June** **1st** and **14th**. I have made an exam plan and sent it to the people on it. If you are planning to take the exam and have not received an exam time please contact me as soon as possible. For an overview over the content of the course, see the [[http://www.ntnu.edu/studies/courses/MA8205#tab=omEmnet|course description page]]. ===== Lecturer ===== **Steffen Oppermann**, room 844, Sentralbygg II, ===== Schedule ===== Lectures will be on **Mondays** from **12:15** to **14:00**, and on **Thursdays** from **08:15** to **10:00**. From January 24th, we will be in **F4** (in "Gamle Fysikk"). Note that this can change back to Zoom at any point. ===== Exercises ===== There will be exercises more or less every week. These will appear here and or be announced during lectures, and we will discuss them during lectures. [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_1.pdf|Exercises for January 24th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_2.jpeg|Exercises for January 31st]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_3.jpeg|Exercises for February 7th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_4.jpeg|Exercises for February 14th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_5.jpeg|Exercises for February 21st]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_6.jpeg|Exercises for February 28th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_7.jpeg|Exercises for March 7th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_8.jpeg|Exercises for March 14th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_9.jpeg|Exercises for March 21st]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_10.pdf|Exercises for March 28th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_11.jpeg|Exercises for April 4th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/Exercises_12.jpeg|Exercises for April 25th]] ===== Notes ===== I uploaded the pdfs I created during the online Zoom lectures. (There is a good chance that there are mistakes and or gaps where I explained something only orally. Consult these notes at your own risk.) [[https://www.math.ntnu.no/emner/MA8205/2022v/01-13-2022.pdf|January 13th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/01-17-2022.pdf|January 17th]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/01-20-2022.pdf|January 20th]] Thomas and Endre kindly agreed to share the notes they have been taking during the lectures. [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week1.pdf|Week 1]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week2.pdf|Week 2]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week3.pdf|Week 3]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week4.pdf|Week 4]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week5.pdf|Week 5]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week6.pdf|Week 6]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week7.pdf|Week 7]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week8.pdf|Week 8]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week9.pdf|Week 9]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week10.pdf|Week 10]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week11.pdf|Week 11]] \\ Week 12 [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week12.pdf|Monday]], [[https://www.math.ntnu.no/emner/MA8205/2022v/Ma8205-31.03.2022.pdf|Thursday]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week13.pdf|Week 13]] \\ [[https://www.math.ntnu.no/emner/MA8205/2022v/RepresentationTheory-Week14.pdf|Week 14]] ===== Literature ===== The content of the course is what will presented during lectures. Most of this content can also be found in both the following books: **Maurice Auslander**, **Idun Reiten**, and **Sverre O. Smalø**, //Representation theory of Artin algebras//, Cambridge Studies in Advanced Mathematics 36 **Ibrahim Assem**, **Daniel Simson**, and **Andrzej Skowronski**, //Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory//, London Mathematical Society Student Texts 65 **Michael Barot**, //Introduction to the Representation Theory of Algebras//, Springer, available on [[https://link.springer.com/book/10.1007%2F978-3-319-11475-0|SpringerLink]] (provided you are on or surf through campus) **Alexander Zimmermann**, //Representation Theory, A Homological Algebra Point of View//, Springer, available on [[https://link.springer.com/book/10.1007%2F978-3-319-07968-4|SpringerLink]] (provided you are on or surf through campus)