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Dual polar spaces of arbitrary rank

(2011) ADVANCES IN GEOMETRY. 11(3). p.471-508
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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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MLA
Huggenberger, Simon. “Dual Polar Spaces of Arbitrary Rank.” ADVANCES IN GEOMETRY 11.3 (2011): 471–508. Print.
APA
Huggenberger, S. (2011). Dual polar spaces of arbitrary rank. ADVANCES IN GEOMETRY, 11(3), 471–508.
Chicago author-date
Huggenberger, Simon. 2011. “Dual Polar Spaces of Arbitrary Rank.” Advances in Geometry 11 (3): 471–508.
Chicago author-date (all authors)
Huggenberger, Simon. 2011. “Dual Polar Spaces of Arbitrary Rank.” Advances in Geometry 11 (3): 471–508.
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://dx.doi.org/10.1515/ADVGEOM.2011.018}},
  volume       = {{11}},
  year         = {{2011}},
}

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