Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Proper actions of discrete subgroups on homogeneous spaces

2018/31/D/ST1/00083

Keywords:

proper actions Lie groups

Descriptors:

  • ST1_7: Lie groups, Lie algebras

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warmińsko-Mazurski w Olsztynie, Wydział Matematyki i Informatyki

woj. warmińsko-mazurskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Maciej Bocheński 

Number of co-investigators in the project: 1

Call: SONATA 14 - announced on 2018-09-14

Amount awarded: 157 920 PLN

Project start date (Y-m-d): 2019-07-04

Project end date (Y-m-d): 2023-07-03

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputer do badań numerycznych (10 500 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  1. Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces
    Authors:
    Maciej Bocheński, Willem A. de Graaf, Piotr Jastrzębski, Aleksy Tralle
    Academic press:
    Experimental Mathematics , Wydawca: Taylor & Francis
    Status:
    Submitted
  2. On locally homogeneous pseudo-Riemannian compact Einstein manifolds
    Authors:
    Bocheński Maciej, Tralle Aleksy
    Academic press:
    Journal of Geometry and Physics (rok: 2020, tom: 155, strony: 45299), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2020.103778 - link to the publication
  3. Stretched non-positive Weyl connections on solvable Lie groups
    Authors:
    Maciej Bocheński, Piotr Jastrzębski, Aleksy Tralle
    Academic press:
    Annali di Matematica Pura ed Applicata , Wydawca: Springer
    Status:
    Submitted
  4. On Semisimple Standard Compact Clifford-Klein Forms
    Authors:
    Bocheński Maciej
    Academic press:
    Journal of Lie Theory (rok: 2022, tom: 32, strony: 813-819), Wydawca: Heldermann Verlag
    Status:
    Published
    DOI:
    10.48550/arXiv.2011.14106 - link to the publication
  5. Homogeneous spaces of real simple Lie groups with proper actions of non virtually abelian discrete subgroups: a calculational approach
    Authors:
    Maciej Bocheński, Piotr Jastrzębski, Aleksy Tralle
    Academic press:
    Journal of Symbolic Computation (rok: 2022, tom: 113, strony: 171-180), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    10.1016/j.jsc.2022.04.004 - link to the publication
  6. Standard compact Clifford-Klein forms and Lie algebra decompositions
    Authors:
    Bocheński Maciej, Aleksy Tralle
    Academic press:
    Transformation Groups , Wydawca: Springer
    Status:
    Submitted