### Two new classes of hyperplanes of the dual polar space DH (2n-1, 4) not arising from the Grassmann embedding

(2008) Linear Algebra and its Applications. 429(8-9). p.2030-2045- abstract
- Let Gamma(n) (q) denote the geometry of the hyperbolic lines of the symplectic polarspace W(2n - 1, q), n >= 2. We show that every hyperplane of Gamma(n)(q) gives rise to a hyperplane of the Hermitian dual polar space DH(2n - 1, q(2)). In this way we obtain two new classes of hyperplanes of DH(2n - 1, 4) which do not arise from the Grassmann embedding of DH(2n - 1, 4).

Please use this url to cite or link to this publication:
http://hdl.handle.net/1854/LU-533517

- author
- Bart De Bruyn UGent
- organization
- year
- 2008
- type
- journalArticle (original)
- publication status
- published
- subject
- journal title
- Linear Algebra and its Applications
- Linear Alg. Appl.
- volume
- 429
- issue
- 8-9
- pages
- 2030 - 2045
- Web of Science type
- Article
- Web of Science id
- 000259739100015
- JCR category
- MATHEMATICS, APPLIED
- JCR impact factor
- 0.878 (2008)
- JCR rank
- 73/175 (2008)
- JCR quartile
- 2 (2008)
- ISSN
- 0024-3795
- DOI
- 10.1016/j.laa.2008.05.036
- language
- English
- UGent publication?
- yes
- classification
- A1
- id
- 533517
- handle
- http://hdl.handle.net/1854/LU-533517
- date created
- 2009-03-29 15:35:29
- date last changed
- 2009-04-02 11:32:50

@article{533517, abstract = {Let Gamma(n) (q) denote the geometry of the hyperbolic lines of the symplectic polarspace W(2n - 1, q), n {\textrangle}= 2. We show that every hyperplane of Gamma(n)(q) gives rise to a hyperplane of the Hermitian dual polar space DH(2n - 1, q(2)). In this way we obtain two new classes of hyperplanes of DH(2n - 1, 4) which do not arise from the Grassmann embedding of DH(2n - 1, 4).}, author = {De Bruyn, Bart}, issn = {0024-3795}, journal = {Linear Algebra and its Applications}, language = {eng}, number = {8-9}, pages = {2030--2045}, title = {Two new classes of hyperplanes of the dual polar space DH (2n-1, 4) not arising from the Grassmann embedding}, url = {http://dx.doi.org/10.1016/j.laa.2008.05.036}, volume = {429}, year = {2008}, }

- Chicago
- De Bruyn, Bart. 2008. “Two New Classes of Hyperplanes of the Dual Polar Space DH (2n-1, 4) Not Arising from the Grassmann Embedding.”
*Linear Algebra and Its Applications*429 (8-9): 2030–2045. - APA
- De Bruyn, B. (2008). Two new classes of hyperplanes of the dual polar space DH (2n-1, 4) not arising from the Grassmann embedding.
*Linear Algebra and its Applications*,*429*(8-9), 2030–2045. - Vancouver
- 1.De Bruyn B. Two new classes of hyperplanes of the dual polar space DH (2n-1, 4) not arising from the Grassmann embedding. Linear Algebra and its Applications. 2008;429(8-9):2030–45.
- MLA
- De Bruyn, Bart. “Two New Classes of Hyperplanes of the Dual Polar Space DH (2n-1, 4) Not Arising from the Grassmann Embedding.”
*Linear Algebra and its Applications*429.8-9 (2008): 2030–2045. Print.