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

Rieuwert Blok and Bart De Bruyn UGent (2009) 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.