---
_id: '63620'
abstract:
- lang: eng
  text: We introduce a new class of reflection groups associated with the canonical
    bilinear lattices of Lenzing, which we call reflection groups of canonical type.
    The main result of this work is a categorification of the corresponding poset
    of non-crossing partitions for any such group, realized via the poset of thick
    subcategories of the category of coherent sheaves on an exceptional hereditary
    curve generated by an exceptional sequence. A second principal result, essential
    for the categorification, is a proof of the transitivity of the Hurwitz action
    in these reflection groups.
author:
- first_name: Barbara
  full_name: Baumeister, Barbara
  last_name: Baumeister
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Georges
  full_name: Neaime, Georges
  last_name: Neaime
- first_name: Charly Merlin
  full_name: Schwabe, Charly Merlin
  id: '103440'
  last_name: Schwabe
citation:
  ama: Baumeister B, Burban I, Neaime G, Schwabe CM. Non-crossing partitions for exceptional
    hereditary curves. <i>arXiv:251201729</i>. Published online 2025.
  apa: Baumeister, B., Burban, I., Neaime, G., &#38; Schwabe, C. M. (2025). Non-crossing
    partitions for exceptional hereditary curves. In <i>arXiv:2512.01729</i>.
  bibtex: '@article{Baumeister_Burban_Neaime_Schwabe_2025, title={Non-crossing partitions
    for exceptional hereditary curves}, journal={arXiv:2512.01729}, author={Baumeister,
    Barbara and Burban, Igor and Neaime, Georges and Schwabe, Charly Merlin}, year={2025}
    }'
  chicago: Baumeister, Barbara, Igor Burban, Georges Neaime, and Charly Merlin Schwabe.
    “Non-Crossing Partitions for Exceptional Hereditary Curves.” <i>ArXiv:2512.01729</i>,
    2025.
  ieee: B. Baumeister, I. Burban, G. Neaime, and C. M. Schwabe, “Non-crossing partitions
    for exceptional hereditary curves,” <i>arXiv:2512.01729</i>. 2025.
  mla: Baumeister, Barbara, et al. “Non-Crossing Partitions for Exceptional Hereditary
    Curves.” <i>ArXiv:2512.01729</i>, 2025.
  short: B. Baumeister, I. Burban, G. Neaime, C.M. Schwabe, ArXiv:2512.01729 (2025).
date_created: 2026-01-15T09:37:34Z
date_updated: 2026-01-16T09:09:17Z
external_id:
  arxiv:
  - '2512.01729'
language:
- iso: eng
publication: arXiv:2512.01729
status: public
title: Non-crossing partitions for exceptional hereditary curves
type: preprint
user_id: '103440'
year: '2025'
...
---
_id: '44537'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: C.
  full_name: Alfes-Neumann, C.
  last_name: Alfes-Neumann
- first_name: M.
  full_name: Raum, M.
  last_name: Raum
citation:
  ama: Burban I, Alfes-Neumann C, Raum M. A classification of polyharmonic Maa forms
    via quiver representations. Published online 2022.
  apa: Burban, I., Alfes-Neumann, C., &#38; Raum, M. (2022). <i>A classification of
    polyharmonic Maa forms via quiver representations</i>.
  bibtex: '@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic
    Maa forms via quiver representations}, author={Burban, Igor and Alfes-Neumann,
    C. and Raum, M.}, year={2022} }'
  chicago: Burban, Igor, C. Alfes-Neumann, and M. Raum. “A Classification of Polyharmonic
    Maa Forms via Quiver Representations,” 2022.
  ieee: I. Burban, C. Alfes-Neumann, and M. Raum, “A classification of polyharmonic
    Maa forms via quiver representations.” 2022.
  mla: Burban, Igor, et al. <i>A Classification of Polyharmonic Maa Forms via Quiver
    Representations</i>. 2022.
  short: I. Burban, C. Alfes-Neumann, M. Raum, (2022).
date_created: 2023-05-07T00:54:50Z
date_updated: 2023-05-07T01:37:00Z
department:
- _id: '602'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.48550/arXiv.2207.02278
publication_status: published
status: public
title: A classification of polyharmonic Maa forms via quiver representations
type: preprint
user_id: '49063'
year: '2022'
...
---
_id: '44538'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: Burban I, Drozd Yu. Non-commutative nodal curves and derived tame algebras.
    Published online 2018.
  apa: Burban, I., &#38; Drozd, Yu. (2018). <i>Non-commutative nodal curves and derived
    tame algebras</i>.
  bibtex: '@article{Burban_Drozd_2018, title={Non-commutative nodal curves and derived
    tame algebras}, author={Burban, Igor and Drozd, Yu.}, year={2018} }'
  chicago: Burban, Igor, and Yu. Drozd. “Non-Commutative Nodal Curves and Derived
    Tame Algebras,” 2018.
  ieee: I. Burban and Yu. Drozd, “Non-commutative nodal curves and derived tame algebras.”
    2018.
  mla: Burban, Igor, and Yu. Drozd. <i>Non-Commutative Nodal Curves and Derived Tame
    Algebras</i>. 2018.
  short: I. Burban, Yu. Drozd, (2018).
date_created: 2023-05-07T00:56:31Z
date_updated: 2023-05-07T01:36:42Z
department:
- _id: '602'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.48550/arXiv.1805.05174
publication_status: published
status: public
title: Non-commutative nodal curves and derived tame algebras
type: preprint
user_id: '49063'
year: '2018'
...
---
_id: '44539'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: Yu.
  full_name: Drozd, Yu.
  last_name: Drozd
citation:
  ama: 'Burban I, Drozd Yu. On the derived categories of gentle and skew-gentle algebras:
    homological algebra and matrix problems. Published online 2017.'
  apa: 'Burban, I., &#38; Drozd, Yu. (2017). <i>On the derived categories of gentle
    and skew-gentle algebras: homological algebra and matrix problems</i>.'
  bibtex: '@article{Burban_Drozd_2017, title={On the derived categories of gentle
    and skew-gentle algebras: homological algebra and matrix problems}, author={Burban,
    Igor and Drozd, Yu.}, year={2017} }'
  chicago: 'Burban, Igor, and Yu. Drozd. “On the Derived Categories of Gentle and
    Skew-Gentle Algebras: Homological Algebra and Matrix Problems,” 2017.'
  ieee: 'I. Burban and Yu. Drozd, “On the derived categories of gentle and skew-gentle
    algebras: homological algebra and matrix problems.” 2017.'
  mla: 'Burban, Igor, and Yu. Drozd. <i>On the Derived Categories of Gentle and Skew-Gentle
    Algebras: Homological Algebra and Matrix Problems</i>. 2017.'
  short: I. Burban, Yu. Drozd, (2017).
date_created: 2023-05-07T00:57:34Z
date_updated: 2023-05-07T01:36:54Z
department:
- _id: '602'
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.48550/arXiv.1706.08358
publication_status: published
status: public
title: 'On the derived categories of gentle and skew-gentle algebras: homological
  algebra and matrix problems'
type: preprint
user_id: '49063'
year: '2017'
...