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On the nucleus of the Grassmann embedding of the symplectic dual polar space $DSp(2n,F)$.

Rieuwert Blok, Ilaria Cardinali and Bart De Bruyn UGent (2009) EUROPEAN JOURNAL OF COMBINATORICS. 30(2). p.468-472
abstract
Let \geq 3$ and let $ be a field of characteristic 2. Let (2n,F)$ denote the dual polar space associated with the building of Type $ over $ and let $\mathcal{G}_{n-2}$ denote the $(n-2) of type $. Using the bijective correspondence between the points of $\mathcal{G}_{n-2}$ and the quads of (2n,F)$, we construct a full projective embedding of $\mathcal{G}_{n-2}$ into the nucleus of the Grassmann embedding of (2n,F)$. This generalizes a result of Cardinali and Lunardon which contains an alternative proof of this fact in the case when =3$ and $ is finite.
Please use this url to cite or link to this publication:
author
organization
alternative title
On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp(2n, F), char(F)=2
year
type
journalArticle (original)
publication status
published
subject
keyword
Grassmann embedding, nucleus of embedding
journal title
EUROPEAN JOURNAL OF COMBINATORICS
Eur. J. Comb.
volume
30
issue
2
pages
468 - 472
Web of Science type
Article
Web of Science id
000262526600015
JCR category
MATHEMATICS
JCR impact factor
0.822 (2009)
JCR rank
71/251 (2009)
JCR quartile
2 (2009)
ISSN
0195-6698
DOI
10.1016/j.ejc.2008.04.001
language
English
UGent publication?
yes
classification
A1
copyright statement
I don't know the status of the copyright for this publication
id
879075
handle
http://hdl.handle.net/1854/LU-879075
date created
2010-02-24 14:07:09
date last changed
2010-03-05 09:07:47
@article{879075,
  abstract     = {Let  {\textbackslash}geq 3\$ and let \$ be a field of characteristic 2. Let (2n,F)\$ denote the dual polar space associated with the building of Type \$ over \$ and let \${\textbackslash}mathcal\{G\}\_\{n-2\}\$ denote the \$(n-2) of type \$. Using the bijective correspondence between the points of \${\textbackslash}mathcal\{G\}\_\{n-2\}\$ and the quads of (2n,F)\$,
we construct a full projective embedding of \${\textbackslash}mathcal\{G\}\_\{n-2\}\$ into the nucleus of the Grassmann embedding of (2n,F)\$. This generalizes a result of Cardinali and Lunardon which contains an alternative proof of
this fact in the case when =3\$ and \$ is finite.},
  author       = {Blok, Rieuwert and Cardinali, Ilaria and De Bruyn, Bart},
  issn         = {0195-6698},
  journal      = {EUROPEAN JOURNAL OF COMBINATORICS},
  keyword      = {Grassmann embedding,nucleus of embedding},
  language     = {eng},
  number       = {2},
  pages        = {468--472},
  title        = {On the nucleus of the Grassmann embedding of the symplectic dual polar space \$DSp(2n,F)\$.},
  url          = {http://dx.doi.org/10.1016/j.ejc.2008.04.001},
  volume       = {30},
  year         = {2009},
}

Chicago
Blok, Rieuwert, Ilaria Cardinali, and Bart De Bruyn. 2009. “On the Nucleus of the Grassmann Embedding of the Symplectic Dual Polar Space $DSp(2n,F)$.” European Journal of Combinatorics 30 (2): 468–472.
APA
Blok, R., Cardinali, I., & De Bruyn, B. (2009). On the nucleus of the Grassmann embedding of the symplectic dual polar space $DSp(2n,F)$. EUROPEAN JOURNAL OF COMBINATORICS, 30(2), 468–472.
Vancouver
1.
Blok R, Cardinali I, De Bruyn B. On the nucleus of the Grassmann embedding of the symplectic dual polar space $DSp(2n,F)$. EUROPEAN JOURNAL OF COMBINATORICS. 2009;30(2):468–72.
MLA
Blok, Rieuwert, Ilaria Cardinali, and Bart De Bruyn. “On the Nucleus of the Grassmann Embedding of the Symplectic Dual Polar Space $DSp(2n,F)$.” EUROPEAN JOURNAL OF COMBINATORICS 30.2 (2009): 468–472. Print.