% This is an example bibliography file for FPSAC submissions. @article{greenwade93, author = {George D. Greenwade}, date-modified = {2016-08-11 21:04:25 +0000}, journal = {TUGBoat}, number = {3}, pages = {342--351}, title = {The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})}, url = {https://www.google.com}, volume = {14}, year = {1993}, bdsk-url-1 = {https://www.google.com} } @article{MR4, author = {Corliss, J. J.}, title = {Upper limits to the real roots of a real algebraic equation}, journal = {Amer. Math. Monthly}, fjournal = {The American Mathematical Monthly}, volume = {46}, year = {1939}, pages = {334--338}, issn = {0002-9890}, mrclass = {09.0X}, mrnumber = {0000004}, mrreviewer = {O. Sz\'asz}, doi = {10.2307/2302887} } %%%%%%%%%%%my stuff %% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Tal Gottesman at 2021-04-28 08:23:00 +0200 @unpublished{brion2008representations, TITLE = {{Representations of quivers}}, AUTHOR = {Brion, Michel}, URL = {https://cel.archives-ouvertes.fr/cel-00440026}, NOTE = {Lecture}, TYPE = {{\'E}cole th{\'e}matique}, HAL_LOCAL_REFERENCE = {IF\_ETE}, ADDRESS = {Institut Fourier}, PAGES = {48}, YEAR = {2008}, PDF = {https://cel.archives-ouvertes.fr/cel-00440026/file/BRION_IFETE2008.pdf}, HAL_ID = {cel-00440026}, HAL_VERSION = {v1}, } %triangulated categories and homological algebra @Book{Cartan1956Homological, Author = {Cartan, Henri and Eilenberg, Samuel}, Title = {Homological algebra}, FSeries = {Princeton Mathematical Series}, Series = {Princeton Math. Ser.}, Volume = {19}, Year = {1956}, Publisher = {Princeton University Press, Princeton, NJ}, Keywords = {18-02,18Gxx}, zbMATH = {3125399}, Zbl = {0075.24305} } @Book{zbMATH01390914, Author = {Cartan, Henri and Eilenberg, Samuel}, Title = {Homological algebra.}, Edition = {Paperback ed.}, ISBN = {0-691-04991-2}, Year = {1999}, Publisher = {Princeton, NJ: Princeton University Press}, Language = {English}, Keywords = {18-02,01A75,13-02,16-02,18Gxx,20Jxx,17B55,17B56}, zbMATH = {1390914}, Zbl = {0933.18001} } @Book{zimmermann2014representation, Author = {Zimmermann, Alexander}, Title = {Representation theory. {A} homological algebra point of view.}, FSeries = {Algebra and Applications}, Series = {Algebr. Appl.}, Volume = {19}, Year = {2014}, Publisher = {Cham: Springer}, DOI = {10.1007/978-3-319-07968-4}, } @Book{zbMATH06314003, Author = {Alexander {Zimmermann}}, Title = {{Representation theory. A homological algebra point of view}}, FJournal = {{Algebra and Applications}}, Journal = {{Algebr. Appl.}}, ISSN = {1572-5553; 2192-2950/e}, Volume = {19}, ISBN = {978-3-319-07967-7/hbk; 978-3-319-07968-4/ebook}, Pages = {xx + 707}, Year = {2014}, Publisher = {Cham: Springer}, Language = {English}, MSC2010 = {20-02 20C20 20J05 16G10 16D90 16E35}, Zbl = {1306.20001} } @MISC {257519, TITLE = {What is a triangle?}, AUTHOR = {Dan Petersen (https://mathoverflow.net/users/1310/dan-petersen)}, HOWPUBLISHED = {MathOverflow}, NOTE = {URL:https://mathoverflow.net/q/257519 (version: 2017-01-30)}, EPRINT = {https://mathoverflow.net/q/257519}, URL = {https://mathoverflow.net/q/257519} } @book{happel1988triangulated, Author = {Dieter {Happel}}, Title = {{Triangulated categories in the representation theory of finite dimensional algebras}}, FJournal = {{London Mathematical Society Lecture Note Series}}, Journal = {{Lond. Math. Soc. Lect. Note Ser.}}, ISSN = {0076-0552}, Volume = {119}, ISBN = {0-521-33922-7}, Pages = {ix + 208}, Year = {1988}, Publisher = {Cambridge (UK) etc.: Cambridge University Press}, Language = {English}, MSC2010 = {16Gxx 16P10 16B50 18E30 18-02 16-02 16D50 16Exx 16E10}, Zbl = {0635.16017} } @book{weibel1994introduction, Author = {Charles A. {Weibel}}, Title = {{An introduction to homological algebra.}}, FJournal = {{Cambridge Studies in Advanced Mathematics}}, Journal = {{Camb. Stud. Adv. Math.}}, Volume = {38}, ISBN = {0-521-55987-1}, Pages = {xiv + 450}, Year = {1995}, Publisher = {Cambridge: Cambridge Univ. Press}, MSC2010 = {18-01 18Gxx 55Uxx 16Exx 18E30 20F99 17B55}, Zbl = {0834.18001} } @misc{Utah, author = {Dragan Milicic}, title = {Lectures on Derived Categories}, publisher={University of Utah}, howpublished = {\url{http://www.math.utah.edu/~milicic/Eprints/dercat}}, } @misc{dudas2021categorification, author={Olivier Dudas}, title = {Categorification II}, month = {March}, year={2021}, howpublished = {\url{https://webusers.imj-prg.fr/~olivier.dudas/notes.html}}, } @article{may2001additivity, Author = {J. P. {May}}, Title = {{The additivity of traces in triangulated categories}}, FJournal = {{Advances in Mathematics}}, Journal = {{Adv. Math.}}, ISSN = {0001-8708}, Volume = {163}, Number = {1}, Pages = {34--73}, Year = {2001}, Publisher = {Elsevier (Academic Press), San Diego, CA}, Language = {English}, MSC2010 = {18E30 55N35}, Zbl = {1007.18012} } @misc{Keller2006dgCats, doi = {10.48550/ARXIV.MATH/0601185}, url = {https://arxiv.org/abs/math/0601185}, author = {Keller, Bernhard}, keywords = {K-Theory and Homology (math.KT), Algebraic Geometry (math.AG), FOS: Mathematics, FOS: Mathematics, 18E30; 16D90}, title = {On differential graded categories}, publisher = {arXiv}, year = {2006}, copyright = {Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004} } @Article{martinezvilla2004dual, Author = {Mart{\'{\i}}nez Villa, Roberto and Saor{\'{\i}}n, Manuel}, Title = {Koszul equivalences and dualities.}, FJournal = {Pacific Journal of Mathematics}, Journal = {Pac. J. Math.}, ISSN = {1945-5844}, Volume = {214}, Number = {2}, Pages = {359--378}, Year = {2004}, Language = {English}, DOI = {10.2140/pjm.2004.214.359}, Keywords = {16S37,18E10,16D90,18E30,16W50,16E30}, URL = {semanticscholar.org/paper/17fd7e3ea96e7e46f55aeb88e6dee88812e7b286}, zbMATH = {2101158}, Zbl = {1057.16026} } @Book{verdier1996these, Author = {Verdier, Jean-Louis}, Title = {Des cat{\'e}gories d{\'e}riv{\'e}es des cat{\'e}gories ab{\'e}liennes}, FSeries = {Ast{\'e}risque}, Series = {Ast{\'e}risque}, ISSN = {0303-1179}, Volume = {239}, Year = {1996}, Publisher = {Paris: Soci{\'e}t{\'e} Math{\'e}matique de France}, Language = {French}, Keywords = {18E30,14F20,55U30,18-02,18G40}, zbMATH = {1024391}, Zbl = {0882.18010} } %Chapoton @article{Chapoton, Author = {Chapoton, Fr{\'e}d{\'e}ric}, Title = {On the {Coxeter} transformations for {Tamari} posets}, FJournal = {Canadian Mathematical Bulletin}, Journal = {Can. Math. Bull.}, Volume = {50}, Number = {2}, Pages = {182--190}, Year = {2007}, DOI = {10.4153/CMB-2007-019-x}, Keywords = {18D50,18E30,06A11,16W30,16G20}, } @misc{chapoton2023posets, title={Posets and Fractional Calabi-Yau Categories}, author={Fr\'ed\'eric Chapoton}, year={2023}, eprint={2303.11656}, eprinttype={arXiv}, } @incollection{chapoton2012categories, title={On the categories of modules over the Tamari posets}, author={Chapoton, Fr{\'e}d{\'e}ric}, booktitle={Associahedra, Tamari lattices and related structures}, pages={269--280}, year={2012}, publisher={Springer} } @Article{Yildirim_2018, Author = {Emine {Yildirim}}, Title = {{The Coxeter transformation on cominuscule posets}}, FJournal = {{Algebras and Representation Theory}}, Journal = {{Algebr. Represent. Theory}}, Volume = {22}, Number = {3}, Pages = {699--722}, Year = {2019}, DOI = {10.1007/s10468-018-9795-3}, Publisher = {Springer Netherlands, Dordrecht}, MSC2010 = {16G70 05E10 16G20 16G60 18G10 06A07} } @phdthesis{Yildirim_these, author = {Yildirim, E.}, title = {The Coxeter Tranformation on Cominuscule Posets}, school = {University du Quebec \`a Montreal}, year = {2018}, } @misc{marczinzik2022interaction, title={On the interaction of the Coxeter transformation and the rowmotion bijection}, author={René Marczinzik and Hugh Thomas and Emine Yildirim}, year={2022}, eprint={2201.04446}, eprinttype={arXiv}, } @Article{rognerud2018bounded, Author = {Rognerud, Baptiste}, Title = {The bounded derived categories of the {Tamari} lattices are fractionally {Calabi}-{Yau}}, FJournal = {Advances in Mathematics}, Journal = {Adv. Math.}, ISSN = {0001-8708}, Volume = {389}, Pages = {31}, Note = {Id/No 107885}, Year = {2021}, DOI = {10.1016/j.aim.2021.107885}, } @Article{thomas2009cominuscule, Author = {Thomas, Hugh and Yong, Alexander}, Title = {A combinatorial rule for (co)minuscule {Schubert} calculus}, FJournal = {Advances in Mathematics}, Journal = {Adv. Math.}, ISSN = {0001-8708}, Volume = {222}, Number = {2}, Pages = {596--620}, Year = {2009}, Language = {English}, DOI = {10.1016/j.aim.2009.05.008}, Keywords = {14N10}, zbMATH = {5597914}, Zbl = {1208.14052} } @Article{Herschend_2011, Author = {Martin {Herschend} and Osamu {Iyama}}, Title = {\(n\)-representation-finite algebras and twisted fractionally Calabi-Yau algebras}, FJournal = {{Bulletin of the London Mathematical Society}}, Journal = {{Bull. Lond. Math. Soc.}}, ISSN = {0024-6093; 1469-2120/e}, Volume = {43}, Number = {3}, Pages = {449--466}, Year = {2011}, Publisher = {John Wiley \& Sons, Chichester; London Mathematical Society, London}, MSC2010 = {16G10 18E30 13F60 16G60 16E30}, Zbl = {1275.16012} } @Article{iyama2022distributive, Author = {Iyama, Osamu and Marczinzik, Ren{\'e}}, Title = {Distributive lattices and {Auslander} regular algebras}, FJournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Volume = {398}, Pages = {27}, Note = {Id/No 108233}, Year = {2022}, DOI = {10.1016/j.aim.2022.108233}, } @misc{iyama2020periodic, doi = {10.48550/ARXIV.2012.11927}, url = {https://arxiv.org/abs/2012.11927}, author = {Chan, Aaron and Darpö, Erik and Iyama, Osamu and Marczinzik, René}, keywords = {Representation Theory (math.RT), Rings and Algebras (math.RA), FOS: Mathematics, FOS: Mathematics, 16G10, 16D50, 16E05, 16E65}, title = {Periodic trivial extension algebras and fractionally Calabi-Yau algebras}, publisher = {arXiv}, year = {2020}, copyright = {arXiv.org perpetual, non-exclusive license} } @Article{iyama2007auslander1, Author = {Iyama, Osamu}, Title = {Auslander correspondence.}, FJournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Volume = {210}, Number = {1}, Pages = {51--82}, Year = {2007}, DOI = {10.1016/j.aim.2006.06.003}, Keywords = {16E30,16G30,16E65,16E10,16D90,18E10}, zbMATH = {5132550}, Zbl = {1115.16006} } @Article{iyama2007auslander2, Author = {Iyama, Osamu}, Title = {Higher-dimensional {Auslander}-{Reiten} theory on maximal orthogonal subcategories.}, FJournal = {Advances in Mathematics}, Journal = {Adv. Math.}, ISSN = {0001-8708}, Volume = {210}, Number = {1}, Pages = {22--50}, Year = {2007}, Language = {English}, DOI = {10.1016/j.aim.2006.06.002}, Keywords = {16E30,16G70,16E65,16G30}, zbMATH = {5132549}, Zbl = {1115.16005} } @InCollection{iyama2008typeA, Author = {Iyama, Osamu}, Title = {Auslander-{Reiten} theory revisited.}, BookTitle = {Trends in representation theory of algebras and related topics. Proceedings of the 12th international conference on representations of algebras and workshop (ICRA XII).}, Pages = {349--397}, Year = {2008}, Publisher = {Z{\"u}rich: European Mathematical Society (EMS)}, } @Article{herschend2021auslander, Author = {Herschend, Martin and J{\o}rgensen, Peter}, Title = {Classification of higher wide subcategories for higher {Auslander} algebras of type {{\(A\)}}}, FJournal = {Journal of Pure and Applied Algebra}, Journal = {J. Pure Appl. Algebra}, ISSN = {0022-4049}, Volume = {225}, Number = {5}, Pages = {23}, Note = {Id/No 106583}, Year = {2021}, Language = {English}, DOI = {10.1016/j.jpaa.2020.106583}, Keywords = {16G10,18G80}, zbMATH = {7303207}, Zbl = {1466.16009} } @misc{ladkani2007flipflop, doi = {10.48550/ARXIV.0710.2860}, url = {https://arxiv.org/abs/0710.2860}, author = {Ladkani, Sefi}, keywords = {Representation Theory (math.RT), Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics, 16G20; 06A11; 18E30}, title = {Universal derived equivalences of posets of cluster tilting objects}, publisher = {arXiv}, year = {2007}, copyright = {Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004} } @misc{reiten2010tilting, title={Tilting theory and cluster algebras}, author={Idun Reiten}, year={2010}, eprint={1012.6014}, eprinttype={arXiv}, } %pre existing proofs for higher aus. algs being fCY @misc{grant2020functors, doi = {10.48550/ARXIV.2007.01817}, url = {https://arxiv.org/abs/2007.01817}, author = {Grant, Joseph}, keywords = {Representation Theory (math.RT), Category Theory (math.CT), FOS: Mathematics, FOS: Mathematics, 18G80, 16E35 (Primary) 18N10, 16W50, 18E05, 18A50 (Secondary)}, title = {Serre functors and graded categories}, publisher = {arXiv}, year = {2020}, copyright = {arXiv.org perpetual, non-exclusive license} } @Article{jasso2019CY1, Author = {Dyckerhoff, Tobias and Jasso, Gustavo and Walde, Tashi}, Title = {Simplicial strucures in higher {Auslander}-{Reiten} theory}, FJournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Volume = {355}, Pages = {73}, Note = {Id/No 106762}, Year = {2019}, DOI = {10.1016/j.aim.2019.106762}, Keywords = {16G70,18E10,18F25}, zbMATH = {7107210}, Zbl = {1471.16027} } @article{dyckerhoff_jasso_lekili_2021, title={The symplectic geometry of higher Auslander algebras: Symmetric products of disks}, volume={9}, DOI={10.1017/fms.2021.2}, journal={Forum of Mathematics, Sigma}, publisher={Cambridge University Press}, author={Dyckerhoff, Tobias and Jasso, Gustavo and Lekili, Yanki}, year={2021}, pages={e10} } %Gap and cap @misc{CAP, title = {CAP}, author = {Gutsche, S. and Posur, S. and Skarts\ae terhagen}, url = {https://homalg-project.github.io/CAP_project/CAP/}} @article{Posur_2020, title={A Constructive Approach to Freyd Categories}, volume={29}, ISSN={1572-9095}, url={http://dx.doi.org/10.1007/s10485-020-09612-y}, DOI={10.1007/s10485-020-09612-y}, number={1}, journal={Applied Categorical Structures}, publisher={Springer Science and Business Media LLC}, author={Posur, Sebastian}, year={2020}, month={Oct}, pages={171-211} } %towards infinity categories @misc{stacks-project, author = {The {Stacks project authors}}, title = {The Stacks project}, howpublished = {\url{https://stacks.math.columbia.edu}}, year = {2023}, } %historic stuff about poset representations @article{Nazarova:1975aa, Author = {Nazarova, L. A. and Roiter, A. V.}, Da = {1975/05/01}, Date-Added = {2021-04-28 08:22:52 +0200}, Date-Modified = {2021-04-28 08:22:52 +0200}, Doi = {10.1007/BF01084662}, Id = {Nazarova1975}, Isbn = {1573-8795}, Journal = {Journal of Soviet Mathematics}, Number = {5}, Pages = {585--606}, Title = {Representations of partially ordered sets}, Ty = {JOUR}, Volume = {3}, Year = {1975}, Bdsk-Url-1 = {https://doi.org/10.1007/BF01084662}} @misc{futorny2019stable, title={Stable representations of posets}, author={Vyacheslav Futorny and Kostiantyn Iusenko}, year={2019}, eprint={1707.00396}, archivePrefix={arXiv}, primaryClass={math.RT} } @book{Mitchell:65, title = {Theory of categories}, Author = {Mitchell, Barry}, Year = {1965}, Url = {http://lib.ugent.be/catalog/rug01:000006186}, Publisher = {New york : Academic press}, Series = {Pure and applied mathematics ; 17} }