Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
GENERIC VARIABLES IN ACYCLIC CLUSTER ALGEBRAS VIA QUIVER REPRESENTATIONS
 

Summary: GENERIC VARIABLES IN ACYCLIC CLUSTER ALGEBRAS VIA
QUIVER REPRESENTATIONS
qF hyx
Abstract. hese re notes for leture on generi vriles in yli luster lgers
using only lssil kground on representtion theory of quiversF
Contents
1. Introduction 1
2. Motivations 2
3. Acyclic cluster algebras 3
4. Background on quiver representations 4
5. From quiver representations to cluster algebras 7
6. Generic variables in acyclic cluster algebras 8
7. Generic bases in ane cluster algebras 9
References 15
1. Introduction
The aim of this lecture is to explain, with minimal background, results concerning a
construction of bases in certain cluster algebras. Most of these results are extracted from
the PhD thesis of the author [Dup08a] (in French) and can also be found in a preprint
[Dup08c] (in English).
In this lecture, results are expressed in terms of representations of quivers only. Nec-

  

Source: Angeleri Hügel, Lidia - Dipartimento di Informatica, Universita` di Verona

 

Collections: Mathematics