
Homological Methods, Representation Theory, and Cluster Algebras
Hardcover
Series: Crm Short Courses
Currently unavailable to order
Please enter your email and a message will be sent to you when this product becomes available on our website.
ISBN13: 9783319745848
Publisher: Springer
Published: Apr 27 2018
Pages: 223
Weight: 1.14
Height: 0.75 Width: 6.40 Depth: 9.48
Language: English
This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today's mathematical landscape. This connection has been fruitful to both areas--representation theory provides a categorification of cluster algebras, while the study of cluster algebras provides representation theory with new objects of study.
The six mini-courses comprising this text were delivered March 7-18, 2016 at a CIMPA (Centre International de Mathématiques Pures et Appliquées) research school held at the Universidad Nacional de Mar del Plata, Argentina. This research school was dedicated to the founder of the Argentinian research group in representation theory, M.I. Platzeck.
The courses held were:
- Advanced homological algebra
- Introduction to the representation theory of algebras
- Auslander-Reiten theory for algebras of infinite representation type
- Cluster algebras arising from surfaces
- Cluster tilted algebras
- Cluster characters
- Introduction to K-theory
- Brauer graph algebras and applications to cluster algebras
1 different editions
Also available
Also in
Algebra
Pre Algebra Doodle Notes: a complete course of brain-based interactive guided visual notes for Middle School Math Concepts
Giraffe, Math
Danziger, Brigid
Paperback
GED Math Test Tutor, for the 2024-2025 GED Test: All the Tools You Need to Succeed
Rush, Sandra
Paperback
Bundle: Calculus: Early Transcendentals, Loose-Leaf Version, 9th + Webassign, Multi-Term Printed Access Card
Stewart, James
Clegg, Daniel K.
Watson, Saleem
Hardcover
Coding the Matrix: Linear Algebra through Applications to Computer Science
Klein, Philip N.
Paperback
Math Fundamentals 2 - Algebra: A Quickstudy Laminated Reference Guide
Wright, Susan
LLC
Warren, Peggy
Other
6th and 7th Grade Math Workbook: Math Practice Book for Grade 6 and 7 [New Edition Includes 900] Practice Questions]
Apex Test Prep
Paperback
Student Solutions Manual, Chapters 1-11 for Stewart/Clegg/Watson's Calculus: Early Transcendentals, 9th
Stewart, James
Clegg, Daniel K.
Watson, Saleem
Paperback
Student Solutions Manual for Stewart's Essential Calculus: Early Transcendentals, 2nd
Stewart, James
Paperback
Mechanical Engineering for Makers: A Hands-On Guide to Designing and Making Physical Things
Bunnell, Brian
Najia, Samer
Paperback
Well Played, Grades 6-8: Building Mathematical Thinking Through Number and Algebraic Games and Puzzles
Gartland, Karen
Bamford Lynch, Jayne
Dacey, Linda
Paperback
Practical Linear Algebra for Data Science: From Core Concepts to Applications Using Python
Cohen, Mike X.
Paperback
Just the Facts! Workbook: Lessons in Mathematics for the Dyslexic Student & Visual Learner (3rd Grade)
Orlassino, Cheryl
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Yu, James
Cheng, Ran
Lee, Peter
Paperback
Mathematics: Its Content, Methods and Meaning
Kolmogorov, A. N.
Lavrent'ev, M. a.
Aleksandrov, A. D.
Paperback
Single Variable Calculus: Early Transcendentals
Clegg, Daniel K.
Stewart, James
Watson, Saleem
Hardcover
Radical Equations: Civil Rights from Mississippi to the Algebra Project
Moses, Robert
Cobb, Charles E.
Paperback
Linear Algebra for Data Science, Machine Learning, and Signal Processing
Fessler, Jeffrey A.
Nadakuditi, Raj Rao
Hardcover
Student Solutions Manual for Stewart/Redlin/Watson's Precalculus: Mathematics for Calculus, 7th
Watson, Saleem
Stewart, James
Redlin, Lothar
Paperback
Standard and Non-Standard Methods for Solving Elementary Algebra Problems
Chirskii, Vladimir G.
Kozko, Artem Ivanovich
Paperback
4th Grade Math Workbook: 1500+ Practice Questions for Daily Exercise [Math Workbooks Grade 4]
Apex Test Prep
Paperback
Basic Math & Pre-Algebra: 1001 Practice Problems for Dummies (+ Free Online Practice)
Zegarelli, Mark
Paperback
Arithmetic and Pre-Algebra Workbook: Comprehensive Activities for Mastering Essential Math Skills
Ross, Ava
Nazari, Reza
Paperback
No-Nonsense Algebra, 2nd Edition: Part of the Mastering Essential Math Skills Series
Fisher, Richard W.
Paperback
Topics in Number Theory, Volumes I and II
Mathematics
Leveque, William Judson
Leveque, William J.
Paperback
Weird Math: A Teenage Genius and His Teacher Reveal the Strange Connections Between Math and Everyday Life
Darling, David
Banerjee, Agnijo
Hardcover
Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus
Spivak, Michael
Paperback
Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares
Vandenberghe, Lieven
Boyd, Stephen
Hardcover
Practice Makes Perfect: Algebra II Review and Workbook, Third Edition
Monahan, Christopher
Favata, Laura
Paperback
Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis
Klein, Felix
Paperback
Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger
Samuel, Pierre
Paperback