Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \infty }$
Autor: | Sira Gratz, Peter Jørgensen, Thorsten Holm |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics 13F60 18E30 01 natural sciences Mathematics::K-Theory and Homology Mathematics::Category Theory 0103 physical sciences Torsion (algebra) FOS: Mathematics 010307 mathematical physics 0101 mathematics Representation Theory (math.RT) Mathematics::Representation Theory Mathematics - Representation Theory Mathematics |
Popis: | We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \infty }$. This is the final accepted version, which will appear in Mathematische Zeitschrift. 25 pages |
Databáze: | OpenAIRE |
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