On the Number of Sections in the Auslander-Reiten Quiver of Algebras of Dynkin Type
ABSTRACT: Categorification of integer sequences A083329, A000295 and A049611 in the OEIS is given by using the number of sections in the Auslander-Reiten quiver of path algebras of type kΔ, where Δ is an oriented Dynkin diagram of type 6 7 An, Dn, E , E and . E8 In particular, the sequence A000295 c...
- Autores:
-
Giraldo Salazar, Hernán Alonso
Moreno Cañadas, Agustín
Bravo Ríos, Gabriel
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2017
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/40425
- Acceso en línea:
- https://hdl.handle.net/10495/40425
- Palabra clave:
- Teoría de los números
Numbers, Theory of
Álgebra
Algebra
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/2.5/co/
| Summary: | ABSTRACT: Categorification of integer sequences A083329, A000295 and A049611 in the OEIS is given by using the number of sections in the Auslander-Reiten quiver of path algebras of type kΔ, where Δ is an oriented Dynkin diagram of type 6 7 An, Dn, E , E and . E8 In particular, the sequence A000295 counts the number of Dyck paths of semilength n having exactly one long ascent. |
|---|