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Endotrivial modules over preprojective algebras

Name: Endotrivial modules over preprojective algebras
Price: 27.95 EUR
Availability: InStock
Author: Jakob Bongartz
ISBN: 978-3-668-25108-3

Master's Thesis, 2015

44 Pages, Grade: 1,0

Jakob Bongartz (Author)

Excerpt

Introduction . . 3

1 Modules over preprojective algebras . . 6

1.1 Prerequisites and basic definitions . . 6

1.2 Reflection functors . . 8

1.3 Endotrivial modules over preprojective algebras of Dynkin type ADE . . 15

1.4 Classification of endotrivial modules over the preprojective algebra of type D_n . . 19

2 Quivers with relations for symmetrizable Cartan matrices . . 25

2.1 Symmetrizable Cartan matrices and associated algebras . . 25

2.2 TheWeyl group . . 28

2.3 Locally free H-modules . . 29

2.4 An analogy to the representation theory of modulated graphs . . 30

2.5 Representation theory of modulated graphs . . 33

2.6 Reflection functors . . 36

References . . 43

Excerpt out of 44 pages

Details

Title: Endotrivial modules over preprojective algebras
College: University of Bonn (Mathematisches Institut)
Grade: 1,0
Author: Jakob Bongartz (Author)
Year: 2015
Pages: 44
Catalog Number: V335106
ISBN (eBook): 9783668251076
ISBN (Book): 9783668251083
File size: 764 KB
Language: English
Keywords: endotrivial

Quote paper: Jakob Bongartz (Author), 2015, Endotrivial modules over preprojective algebras, Munich, GRIN Verlag, https://www.grin.com/document/335106

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