The number of complete exceptional sequences for a Dynkin algebra

Mustafa Obaid, et al. "The number of complete exceptional sequences for a Dynkin algebra." Colloquium Mathematicae 133.2 (2013): 197-210. <http://eudml.org/doc/284342>.

@article{MustafaObaid2013,
abstract = {The Dynkin algebras are the hereditary artin algebras of finite representation type. The paper determines the number of complete exceptional sequences for any Dynkin algebra. Since the complete exceptional sequences for a Dynkin algebra of Dynkin type Δ correspond bijectively to the maximal chains in the lattice of non-crossing partitions of type Δ, the calculations presented here may also be considered as a categorification of the corresponding result for non-crossing partitions.},
author = {Mustafa Obaid, Khalid Nauman, Wafa S. M. Al-Shammakh, Wafaa Fakieh, Claus Michael Ringel},
journal = {Colloquium Mathematicae},
keywords = {Dynkin algebras; Dynkin diagrams; exceptional sequences; hereditary Artin algebras of finite representation type; lattices of partitions; categorifications},
language = {eng},
number = {2},
pages = {197-210},
title = {The number of complete exceptional sequences for a Dynkin algebra},
url = {http://eudml.org/doc/284342},
volume = {133},
year = {2013},
}

TY - JOUR
AU - Mustafa Obaid
AU - Khalid Nauman
AU - Wafa S. M. Al-Shammakh
AU - Wafaa Fakieh
AU - Claus Michael Ringel
TI - The number of complete exceptional sequences for a Dynkin algebra
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 2
SP - 197
EP - 210
AB - The Dynkin algebras are the hereditary artin algebras of finite representation type. The paper determines the number of complete exceptional sequences for any Dynkin algebra. Since the complete exceptional sequences for a Dynkin algebra of Dynkin type Δ correspond bijectively to the maximal chains in the lattice of non-crossing partitions of type Δ, the calculations presented here may also be considered as a categorification of the corresponding result for non-crossing partitions.
LA - eng
KW - Dynkin algebras; Dynkin diagrams; exceptional sequences; hereditary Artin algebras of finite representation type; lattices of partitions; categorifications
UR - http://eudml.org/doc/284342
ER -