On the nucleus of the Grassmann embedding of the symplectic dual polar space <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mstyle mathvariant="normal"><mml:mi>DSp</mml:mi></mml:mstyle><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">F</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>, <mml:math altimg="si2.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mstyle mathvariant="normal"><mml:mi>char</mml:mi></mml:mstyle><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="double-struck">F</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math>-Reference-Cited by-同舟云学术

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

Published:2009-02 Issue:2 Volume:30 Page:468-472
ISSN:0195-6698
Container-title:European Journal of Combinatorics
language:en
Short-container-title:European Journal of Combinatorics

Author:

Blok Rieuwert J.,Cardinali Ilaria,De Bruyn Bart

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics

Reference20 articles.

1. The generating rank of the symplectic line-Grassmannian;Blok;Beitr. Algebra Geom.,2003

2. The generating rank of the symplectic Grassmannians: hyperbolic and isotropic geometry;Blok;European J. Combin.,2007

3. R.J. Blok, B.N. Cooperstein, Projective subgrassmannians of polar Grassmannians (submitted for publication)

4. R.J. Blok, B.N. Cooperstein, The generating ranks of the symplectic and unitary polar grassmannians. Preprint

5. N. Bourbaki, Éléments de mathématique. (French) Fasc. XXXVIII: Groupes et algèbres de Lie. Chapitre VII: Sous-algèbres de Cartan, éléments réguliers. Chapitre VIII: Algèbres de Lie semi-simples déployées. Actualités Scientifiques et Industrielles, vol. 1364. Hermann, Paris, 1975, p. 271

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