- Author
- Simon Huggenberger (UGent)
- Organization
- Abstract
- In 1982 P. Cameron gave a characterisation of dual polar spaces of finite rank viewed as point-line spaces. This characterisation makes essential use of the fact that dual polar spaces of finite rank have finite diameter. Our goal is to give a characterisation which includes dual polar spaces of infinite rank. Since dual polar spaces of infinite rank are disconnected, we introduce a point-relation that denotes pairs of points at "maximal distance", and we call this an opposition relation. This approach is in the spirit of the theory of twin buildings.
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-1255874
- MLA
- Huggenberger, Simon. “Dual Polar Spaces of Arbitrary Rank.” ADVANCES IN GEOMETRY, vol. 11, no. 3, 2011, pp. 471–508, doi:10.1515/ADVGEOM.2011.018.
- APA
- Huggenberger, S. (2011). Dual polar spaces of arbitrary rank. ADVANCES IN GEOMETRY, 11(3), 471–508. https://doi.org/10.1515/ADVGEOM.2011.018
- Chicago author-date
- Huggenberger, Simon. 2011. “Dual Polar Spaces of Arbitrary Rank.” ADVANCES IN GEOMETRY 11 (3): 471–508. https://doi.org/10.1515/ADVGEOM.2011.018.
- Chicago author-date (all authors)
- Huggenberger, Simon. 2011. “Dual Polar Spaces of Arbitrary Rank.” ADVANCES IN GEOMETRY 11 (3): 471–508. doi:10.1515/ADVGEOM.2011.018.
- Vancouver
- 1.Huggenberger S. Dual polar spaces of arbitrary rank. ADVANCES IN GEOMETRY. 2011;11(3):471–508.
- IEEE
- [1]S. Huggenberger, “Dual polar spaces of arbitrary rank,” ADVANCES IN GEOMETRY, vol. 11, no. 3, pp. 471–508, 2011.
@article{1255874,
abstract = {{In 1982 P. Cameron gave a characterisation of dual polar spaces of finite rank viewed as point-line spaces. This characterisation makes essential use of the fact that dual polar spaces of finite rank have finite diameter. Our goal is to give a characterisation which includes dual polar spaces of infinite rank. Since dual polar spaces of infinite rank are disconnected, we introduce a point-relation that denotes pairs of points at "maximal distance", and we call this an opposition relation. This approach is in the spirit of the theory of twin buildings.}},
author = {{Huggenberger, Simon}},
issn = {{1615-715X}},
journal = {{ADVANCES IN GEOMETRY}},
language = {{eng}},
number = {{3}},
pages = {{471--508}},
title = {{Dual polar spaces of arbitrary rank}},
url = {{http://doi.org/10.1515/ADVGEOM.2011.018}},
volume = {{11}},
year = {{2011}},
}
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