Introduction to τ-tilting theory

Introduction to τ-tilting theory

From the viewpoint of mutation, we will give a brief survey of tilting theory and cluster-tilting theory together with a motivation from cluster algebras. Then we will give an introduction to τ-tilting theory which was recently developed.

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Veröffentlicht in:Proceedings of the National Academy of Sciences - PNAS 2014-07, Vol.111 (27), p.9704-9711
Hauptverfasser: Iyamaa, Osamu, Reiten, Idun
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Approximation
Arrows
Combinatorics
Functors
MANY FACETS OF CLUSTER ALGEBRAS SPECIAL FEATURE
Mathematical objects
Mathematical theorems
motivation
mutation
Physical Sciences
Quivers
surveys
Vertices
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Beschreibung
Zusammenfassung:From the viewpoint of mutation, we will give a brief survey of tilting theory and cluster-tilting theory together with a motivation from cluster algebras. Then we will give an introduction to τ-tilting theory which was recently developed.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.1313075111