Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Mathematics - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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3 course to be chosen among the following
One course to be chosen among the following
Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Representation theory (2016/2017)
Teaching code
4S001099
Academic staff
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/02 - ALGEBRA
Period
I sem. dal Oct 3, 2016 al Jan 31, 2017.
Learning outcomes
The course provides a first introduction to the representation theory of quivers, an important branch of modern algebra with connections to geometry, topology and theoretical physics.
Program
Quivers, representations, the path algebra. Categories and functors, module categories. Filtrations: Theorems of Schreier and Jordan-Hoelder. Direct sum decomposition, theorem of Krull-Remak-Schmidt. Homological algebra: pushout, pullback, Ext, complexes, homology. Auslander-Reiten-theory. Algebras of finite and of tame representation type.
Author | Title | Publishing house | Year | ISBN | Notes |
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Joseph J. Rotman | An introduction to homological algebra | Academic Press | |||
I. Assem, D. Simson, A. Skowronski | Elements of the representation theory of associative algebras | Cambridge University Press | 2006 | ||
M.Auslander, I.Reiten, S.O. Smalø | Representation theory of artin algebras (Edizione 2) | Cambridge University Press | 1997 | ||
F.W. Anderson, K.R. Fuller | Rings and categories of modules (Edizione 2) | Springer | 1992 |
Examination Methods
The exam consists of a written examination. The mark obtained in the written examination can be improved by the mark obtained for the homework and/or by an optional oral examination. Only students who have passed the written exam will be admitted to the oral examination.
Teaching materials e documents
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Bibliography (pdf, it, 56 KB, 10/3/16)
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Exercises 1 (pdf, it, 259 KB, 10/13/16)
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Exercises 2 (pdf, it, 259 KB, 10/28/16)
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Exercises 3 (pdf, it, 197 KB, 11/11/16)
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Exercises 4 (pdf, it, 267 KB, 11/29/16)
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Exercises 5 - corrected (pdf, it, 293 KB, 1/10/17)
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Exercises 6 (pdf, it, 338 KB, 1/10/17)
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First exam (pdf, it, 154 KB, 2/2/17)
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Notes (pdf, it, 775 KB, 1/22/17)
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Organization of the course (pdf, it, 41 KB, 10/3/16)