On derived equivalence classification of gentle two-cycle algebras

Grzegorz Bobiński; Piotr Malicki

Colloquium Mathematicae (2008)

  • Volume: 112, Issue: 1, page 33-72
  • ISSN: 0010-1354

Abstract

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We classify, up to derived (equivalently, tilting-cotilting) equivalence, all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.

How to cite

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Grzegorz Bobiński, and Piotr Malicki. "On derived equivalence classification of gentle two-cycle algebras." Colloquium Mathematicae 112.1 (2008): 33-72. <http://eudml.org/doc/283765>.

@article{GrzegorzBobiński2008,
abstract = {We classify, up to derived (equivalently, tilting-cotilting) equivalence, all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.},
author = {Grzegorz Bobiński, Piotr Malicki},
journal = {Colloquium Mathematicae},
keywords = {derived category; gentle algebra; tilting-cotilting equivalence},
language = {eng},
number = {1},
pages = {33-72},
title = {On derived equivalence classification of gentle two-cycle algebras},
url = {http://eudml.org/doc/283765},
volume = {112},
year = {2008},
}

TY - JOUR
AU - Grzegorz Bobiński
AU - Piotr Malicki
TI - On derived equivalence classification of gentle two-cycle algebras
JO - Colloquium Mathematicae
PY - 2008
VL - 112
IS - 1
SP - 33
EP - 72
AB - We classify, up to derived (equivalently, tilting-cotilting) equivalence, all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.
LA - eng
KW - derived category; gentle algebra; tilting-cotilting equivalence
UR - http://eudml.org/doc/283765
ER -

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