Title of article
The generating rank of the unitary and symplectic Grassmannians
Author/Authors
Blok، نويسنده , , Rieuwert J. and Cooperstein، نويسنده , , Bruce N.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
13
From page
1
To page
13
Abstract
We prove that the Grassmannian of totally isotropic k-spaces of the polar space associated to the unitary group SU 2 n ( F ) ( n ∈ N ) has generating rank ( 2 n k ) when F ≠ F 4 . We also reprove the main result of Blok (2007) [3], namely that the Grassmannian of totally isotropic k-spaces associated to the symplectic group Sp 2 n ( F ) has generating rank ( 2 n k ) − ( 2 n k − 2 ) , when Char ( F ) ≠ 2 .
Keywords
Hermitian form , symplectic group , Generating rank , embedding , Unitary group , Grassmannian
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2012
Journal title
Journal of Combinatorial Theory Series A
Record number
1531716
Link To Document