@book{Bourbaki2002,
  author = {Bourbaki, Nicolas},
  title = {Lie Groups and Lie Algebras: Chapters 4--6},
  series = {Elements of Mathematics},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = {2002},
  note = {English translation of the 1968 French original},
  url = {https://link.springer.com/book/9783540691716}
}

@phdthesis{VanDerLek1983,
  author = {van der Lek, Harm},
  title = {The Homotopy Type of Complex Hyperplane Complements},
  school = {Katholieke Universiteit te Nijmegen},
  year = {1983},
  url = {https://repository.ubn.ru.nl/handle/2066/148301}
}

@article{CharneyParis2014,
  author = {Charney, Ruth and Paris, Luis},
  title = {Convexity of parabolic subgroups in {Artin} groups},
  journal = {Bulletin of the London Mathematical Society},
  volume = {46},
  number = {6},
  pages = {1248--1255},
  year = {2014},
  doi = {10.1112/blms/bdu077},
  eprint = {1401.7634},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1401.7634v1}
}

@article{Paris1997,
  author = {Paris, Luis},
  title = {Parabolic subgroups of {Artin} groups},
  journal = {Journal of Algebra},
  volume = {196},
  number = {2},
  pages = {369--399},
  year = {1997},
  doi = {10.1006/jabr.1997.7098},
  url = {https://www.sciencedirect.com/science/article/pii/S0021869397970988}
}

@article{Deligne1972,
  author = {Deligne, Pierre},
  title = {Les immeubles des groupes de tresses g{\'e}n{\'e}ralis{\'e}s},
  journal = {Inventiones Mathematicae},
  volume = {17},
  number = {4},
  pages = {273--302},
  year = {1972},
  doi = {10.1007/BF01406236},
  url = {https://publications.ias.edu/sites/default/files/Number18.pdf}
}

@article{BrieskornSaito1972,
  author = {Brieskorn, Egbert and Saito, Kyoji},
  title = {{Artin-Gruppen und Coxeter-Gruppen}},
  journal = {Inventiones Mathematicae},
  volume = {17},
  number = {4},
  pages = {245--271},
  year = {1972},
  doi = {10.1007/BF01406235},
  url = {https://link.springer.com/article/10.1007/BF01406235}
}

@incollection{BBD1982,
  author = {Beilinson, A. A. and Bernstein, Joseph and Deligne, Pierre},
  title = {Faisceaux pervers},
  booktitle = {Analyse et topologie sur les espaces singuliers, {I}},
  series = {Ast{\'e}risque},
  volume = {100},
  publisher = {Soci{\'e}t{\'e} Math{\'e}matique de France},
  address = {Paris},
  pages = {5--171},
  year = {1982},
  url = {https://archive.numdam.org/item/AST_1982__100__1_0.pdf}
}

@misc{HengLicata2024,
  author = {Heng, Edmund and Licata, Anthony M.},
  title = {Stability conditions and {Artin--Tits} groups},
  year = {2024},
  note = {Version 1},
  eprint = {2412.15919v1},
  archivePrefix = {arXiv},
  primaryClass = {math.RT},
  url = {https://arxiv.org/abs/2412.15919v1}
}

@article{BravThomas2011,
  author = {Brav, Christopher and Thomas, Hugh},
  title = {Braid groups and {Kleinian} singularities},
  journal = {Mathematische Annalen},
  volume = {351},
  number = {4},
  pages = {1005--1017},
  year = {2011},
  doi = {10.1007/s00208-010-0627-y},
  eprint = {0910.2521v3},
  archivePrefix = {arXiv},
  note = {Preprint version consulted: version 3},
  url = {https://arxiv.org/abs/0910.2521v3}
}

@misc{Chen2014,
  author = {Chen, Joshua},
  title = {The {Temperley--Lieb} categories and skein modules},
  year = {2014},
  note = {B.Sc. Honours thesis, Australian National University},
  eprint = {1502.06845},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1502.06845v1}
}

@book{Davis2008,
  author = {Davis, Michael W.},
  title = {The Geometry and Topology of {Coxeter} Groups},
  series = {London Mathematical Society Monographs},
  volume = {32},
  publisher = {Princeton University Press},
  year = {2008},
  url = {https://people.math.osu.edu/davis.12/davisbook.pdf}
}

@article{Coquereaux2002,
  author = {Coquereaux, Robert},
  title = {Notes on the quantum tetrahedron},
  journal = {Moscow Mathematical Journal},
  volume = {2},
  number = {1},
  pages = {41--80},
  year = {2002},
  eprint = {math-ph/0011006},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math-ph/0011006v5}
}

@phdthesis{Cooper2007,
  author = {Cooper, Barrie},
  title = {Almost {Koszul} Duality and Rational Conformal Field Theory},
  school = {University of Bath},
  year = {2007},
  url = {https://researchportal.bath.ac.uk/en/studentTheses/almost-koszul-duality-and-rational-conformal-field-theory/}
}

@article{CumplidoEtAl2019,
  author = {Cumplido, Mar{\'i}a and Gebhardt, Volker and
            Gonz{\'a}lez-Meneses, Juan and Wiest, Bert},
  title = {On parabolic subgroups of {Artin--Tits} groups of spherical type},
  journal = {Advances in Mathematics},
  volume = {352},
  pages = {572--610},
  year = {2019},
  doi = {10.1016/j.aim.2019.06.010},
  eprint = {1712.06727v3},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1712.06727v3}
}

@article{MorrisWright2021,
  author = {Morris-Wright, Rose},
  title = {Parabolic subgroups in {FC}-type {Artin} groups},
  journal = {Journal of Pure and Applied Algebra},
  volume = {225},
  number = {1},
  pages = {106468},
  year = {2021},
  doi = {10.1016/j.jpaa.2020.106468},
  eprint = {1906.07058v2},
  archivePrefix = {arXiv},
  note = {Preprint title: Parabolic subgroups of Artin groups of FC type},
  url = {https://arxiv.org/abs/1906.07058v2}
}

@article{CumplidoMartinVaskou2023,
  author = {Cumplido, Mar{\'i}a and Martin, Alexandre and Vaskou, Nicolas},
  title = {Parabolic subgroups of large-type {Artin} groups},
  journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
  volume = {174},
  number = {2},
  pages = {393--414},
  year = {2023},
  doi = {10.1017/S0305004122000342},
  eprint = {2012.02693},
  archivePrefix = {arXiv},
  url = {https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/parabolic-subgroups-of-largetype-artin-groups/10D2B6F40F27BF8F3BD4974460AA0953}
}

@article{AntolinFoniqi2022,
  author = {Antol{\'i}n, Yago and Foniqi, Islam},
  title = {Intersection of parabolic subgroups in even {Artin} groups of {FC}-type},
  journal = {Proceedings of the Edinburgh Mathematical Society},
  volume = {65},
  number = {4},
  pages = {938--957},
  year = {2022},
  doi = {10.1017/S0013091522000414},
  eprint = {2204.14080},
  archivePrefix = {arXiv},
  url = {https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/intersection-of-parabolic-subgroups-in-even-artin-groups-of-fctype/1CBD4E471E22CE204D4367DB6D566B98}
}

@article{MoellerParisVarghese2024,
  author = {M{\"o}ller, Philip and Paris, Luis and Varghese, Olga},
  title = {On parabolic subgroups of {Artin} groups},
  journal = {Israel Journal of Mathematics},
  volume = {261},
  pages = {809--840},
  year = {2024},
  doi = {10.1007/s11856-023-2597-2},
  eprint = {2201.13044},
  archivePrefix = {arXiv},
  url = {https://link.springer.com/article/10.1007/s11856-023-2597-2}
}

@article{CharneyMartinMorrisWright2026,
  author = {Charney, Ruth and Martin, Alexandre and Morris-Wright, Rose},
  title = {Acylindrical hyperbolicity for {Artin} groups with a visual splitting},
  journal = {Algebraic \& Geometric Topology},
  volume = {26},
  number = {4},
  pages = {1507--1528},
  year = {2026},
  doi = {10.2140/agt.2026.26.1507},
  eprint = {2404.11393},
  archivePrefix = {arXiv},
  url = {https://msp.org/agt/2026/26-4/agt-v26-n4-p08-p.pdf}
}

@misc{KatoOguni2025,
  author = {Kato, Motoko and Oguni, Shin-ichi},
  title = {Acylindrical hyperbolicity and the centers of {Artin} groups that are not free of infinity},
  year = {2025},
  note = {Preprint version 3, revised 25 June 2025},
  eprint = {2406.09432v3},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  url = {https://arxiv.org/abs/2406.09432v3}
}

@misc{Cumplido2026Survey,
  author = {Cumplido, Mar{\'i}a},
  title = {Fundamental techniques in the study of parabolic subgroups of {Artin} groups},
  year = {2026},
  note = {Version 2, revised 7 July 2026; first posted in 2025},
  eprint = {2509.08382v2},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  url = {https://arxiv.org/html/2509.08382v2}
}

@article{HuerfanoKhovanov2001,
  author = {Huerfano, Ruth Stella and Khovanov, Mikhail},
  title = {A category for the adjoint representation},
  journal = {Journal of Algebra},
  volume = {246},
  number = {2},
  pages = {514--542},
  year = {2001},
  doi = {10.1006/jabr.2001.8962},
  eprint = {math/0002060},
  archivePrefix = {arXiv},
  primaryClass = {math.QA},
  note = {Preprint version consulted: arXiv:math/0002060v2},
  url = {https://doi.org/10.1006/jabr.2001.8962}
}

@article{KhovanovSeidel2002,
  author = {Khovanov, Mikhail and Seidel, Paul},
  title = {Quivers, {Floer} cohomology, and braid group actions},
  journal = {Journal of the American Mathematical Society},
  volume = {15},
  number = {1},
  pages = {203--271},
  year = {2002},
  doi = {10.1090/S0894-0347-01-00374-5},
  eprint = {math/0006056},
  archivePrefix = {arXiv},
  primaryClass = {math.QA},
  note = {Preprint version consulted: arXiv:math/0006056v2},
  url = {https://doi.org/10.1090/S0894-0347-01-00374-5}
}

@article{SeidelThomas2001,
  author = {Seidel, Paul and Thomas, Richard},
  title = {Braid group actions on derived categories of coherent sheaves},
  journal = {Duke Mathematical Journal},
  volume = {108},
  number = {1},
  pages = {37--108},
  year = {2001},
  doi = {10.1215/S0012-7094-01-10812-0},
  eprint = {math/0001043},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {Preprint version consulted: arXiv:math/0001043v2},
  url = {https://doi.org/10.1215/S0012-7094-01-10812-0}
}

@article{DuncanKazachkovRemeslennikov2007,
  author = {Duncan, Andrew J. and Kazachkov, Ilya V. and Remeslennikov, Vladimir N.},
  title = {Parabolic and quasiparabolic subgroups of free partially commutative groups},
  journal = {Journal of Algebra},
  volume = {318},
  number = {2},
  pages = {918--932},
  year = {2007},
  doi = {10.1016/j.jalgebra.2007.08.032},
  eprint = {math/0702431},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0702431}
}

@article{Blufstein2022,
  author = {Blufstein, Mart{\'i}n Axel},
  title = {Parabolic subgroups of two-dimensional {Artin} groups and systolic-by-function complexes},
  journal = {Bulletin of the London Mathematical Society},
  volume = {54},
  number = {6},
  pages = {2338--2350},
  year = {2022},
  eprint = {2108.04929v2},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2108.04929v2}
}

@article{Haettel2024,
  author = {Haettel, Thomas},
  title = {Lattices, injective metrics and the {$K(\pi,1)$} conjecture},
  journal = {Algebraic \& Geometric Topology},
  volume = {24},
  number = {7},
  pages = {4007--4060},
  year = {2024},
  doi = {10.2140/agt.2024.24.4007},
  eprint = {2109.07891},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2109.07891}
}

@article{CumplidoGavazziParis2024,
  author = {Cumplido, Mar{\'i}a and Gavazzi, Federica and Paris, Luis},
  title = {Intersection of parabolic subgroups in {Euclidean} braid groups: a short proof},
  journal = {Comptes Rendus. Math{\'e}matique},
  volume = {362},
  pages = {1445--1448},
  year = {2024},
  doi = {10.5802/crmath.656},
  eprint = {2402.10919},
  archivePrefix = {arXiv},
  url = {https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.656/}
}

@article{Godelle2023,
  author = {Godelle, Eddy},
  title = {On parabolic subgroups of {Artin--Tits} groups},
  journal = {Journal of Algebra},
  volume = {632},
  pages = {520--534},
  year = {2023},
  eprint = {2207.06528v1},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2207.06528v1}
}

@article{BlufsteinParis2023,
  author = {Blufstein, Mart{\'i}n Axel and Paris, Luis},
  title = {Parabolic subgroups inside parabolic subgroups of {Artin} groups},
  journal = {Proceedings of the American Mathematical Society},
  volume = {151},
  number = {4},
  pages = {1519--1526},
  year = {2023},
  doi = {10.1090/proc/16289},
  eprint = {2204.05142v2},
  archivePrefix = {arXiv},
  note = {Preprint version consulted: version 2},
  url = {https://arxiv.org/abs/2204.05142v2}
}

@article{HoltRees2012,
  author = {Holt, Derek F. and Rees, Sarah},
  title = {{Artin} groups of large type are shortlex automatic with regular geodesics},
  journal = {Proceedings of the London Mathematical Society},
  series = {3},
  volume = {104},
  number = {3},
  pages = {486--512},
  year = {2012},
  doi = {10.1112/plms/pdr035},
  eprint = {1003.6007v1},
  archivePrefix = {arXiv},
  note = {Preprint version consulted: version 1},
  url = {https://arxiv.org/abs/1003.6007v1}
}

@article{BlascoGarciaEtAl2026,
  author = {Blasco-Garc{\'i}a, Rub{\'e}n and Cumplido, Mar{\'i}a and
            Holt, Derek F. and Morris-Wright, Rose and Rees, Sarah},
  title = {Rewriting in {Artin} groups without {$A_3$} or {$B_3$} subdiagrams},
  journal = {Journal of Algebra},
  volume = {703},
  pages = {374--421},
  year = {2026},
  doi = {10.1016/j.jalgebra.2026.02.017},
  eprint = {2412.12195v2},
  archivePrefix = {arXiv},
  note = {Preprint version 2 and publisher proof consulted},
  url = {https://doi.org/10.1016/j.jalgebra.2026.02.017}
}