Combinatorics of type D Exceptional Sequences
| Autor: | Emily Carrick, Alexander Garver |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Noncrossing partition
General Mathematics Mathematics::Rings and Algebras Coxeter group Quiver Type (model theory) 16G20 (Primary) 05E10 06A07 (Secondary) Representation theory Cluster algebra Combinatorics FOS: Mathematics Mathematics - Combinatorics Combinatorics (math.CO) Representation Theory (math.RT) Mathematics::Representation Theory Mathematics - Representation Theory Mathematics |
| Zdroj: | Algebras and Representation Theory. 26:181-206 |
| ISSN: | 1572-9079 1386-923X |
| DOI: | 10.1007/s10468-021-10091-5 |
| Popis: | Exceptional sequences are important sequences of quiver representations in the study of representation theory of algebras. They are also closely related to the theory of cluster algebras and the combinatorics of Coxeter groups. We combinatorially classify exceptional sequences of a family of type D Dynkin quivers, and we show how our model for exceptional sequences connects to the combinatorics of type D noncrossing partitions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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