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Parapolar spaces of infinite rank

Paulien Jansen and Hendrik Van Maldeghem (UGent)
(2023) ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL. 16(4). p.191-203
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Abstract
We show that in many classical characterization theorems involving parapolar spaces, we can lift the assumption of having only symplecta of finite rank. At the same time, we present an example of a parapolar space of infinite symplectic rank which shows that this is not possible in all characterizations.
Keywords
spherical buildings, polar spaces, parapolar spaces

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MLA
Jansen, Paulien, and Hendrik Van Maldeghem. “Parapolar Spaces of Infinite Rank.” ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, vol. 16, no. 4, 2023, pp. 191–203, doi:10.32513/asetmj/193220082341.
APA
Jansen, P., & Van Maldeghem, H. (2023). Parapolar spaces of infinite rank. ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 16(4), 191–203. https://doi.org/10.32513/asetmj/193220082341
Chicago author-date
Jansen, Paulien, and Hendrik Van Maldeghem. 2023. “Parapolar Spaces of Infinite Rank.” ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL 16 (4): 191–203. https://doi.org/10.32513/asetmj/193220082341.
Chicago author-date (all authors)
Jansen, Paulien, and Hendrik Van Maldeghem. 2023. “Parapolar Spaces of Infinite Rank.” ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL 16 (4): 191–203. doi:10.32513/asetmj/193220082341.
Vancouver
1.
Jansen P, Van Maldeghem H. Parapolar spaces of infinite rank. ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL. 2023;16(4):191–203.
IEEE
[1]
P. Jansen and H. Van Maldeghem, “Parapolar spaces of infinite rank,” ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, vol. 16, no. 4, pp. 191–203, 2023.
@article{01HW5NM4RE4TMFRKBBYYC1SVAM,
  abstract     = {{We show that in many classical characterization theorems involving parapolar spaces, we can lift the assumption of having only symplecta of finite rank. At the same time, we present an example of a parapolar space of infinite symplectic rank which shows that this is not possible in all characterizations.}},
  author       = {{Jansen, Paulien and Van Maldeghem, Hendrik}},
  issn         = {{2667-9930}},
  journal      = {{ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL}},
  keywords     = {{spherical buildings,polar spaces,parapolar spaces}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{191--203}},
  title        = {{Parapolar spaces of infinite rank}},
  url          = {{http://doi.org/10.32513/asetmj/193220082341}},
  volume       = {{16}},
  year         = {{2023}},
}
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