AbstractA. E. Brouwer has shown that the universal embedding of the U2n(2) dual polar space has dimension at least (4n+2)/3 and has conjectured equality. The present paper proves this conjecture by establishing a related result about permutation modules for GLn(4). The method is the same used in the author's previous paper on an analogous question for the Sp2n(2) dual polar space
AbstractA set of points of the projective space PG(n,4), n≥0, is said to be of odd type, if it inter...
Cooperstein [6], [7] proved that every finite symplectic dual polar space DW (2n-1,q), q not equal 2...
AbstractLet e be the Grassmann-embedding of the symplectic dual polar space DW(2n-1,K) into PG(W), w...
AbstractA. E. Brouwer has shown that the universal embedding of the U2n(2) dual polar space has dime...
AbstractIt has been conjectured by A. E. Brouwer that the dimension of the universal embedding modul...
AbstractThe universal embedding dimension of the binary symplectic dual polar space DSp(2d,2) equals...
AbstractIt is demonstrated that the generating rank of the dual polar space of typeU2n(q2) is(???n2n...
Let Γ be an embeddable non-degenerate polar space of finite rank n≥2. Assuming that Γ admits the uni...
In [6], Cooperstein and Shult showed that the dual polar space DQ(-)(2n+1, K), K = F-q, admits a ful...
AbstractLet V be the Weyl module of dimension 2nn−2nn−2 for the symplectic group Sp(2n,F) whose high...
AbstractLet Δ be a thick dual polar space and F a convex subspace of diameter at least 2 of Δ. Every...
AbstractIn [B. De Bruyn, A. Pasini, Minimal scattered sets and polarized embeddings of dual polar sp...
AbstractLet n≥3 and let F be a field of characteristic 2. Let DSp(2n,F) denote the dual polar space ...
AbstractLet Π be a polar space of rank n and let Gk(Π), k∈{0,…,n−1} be the polar Grassmannian formed...
Let \geq 3$ and let $ be a field of characteristic 2. Let (2n,F)$ denote the dual polar space assoc...
AbstractA set of points of the projective space PG(n,4), n≥0, is said to be of odd type, if it inter...
Cooperstein [6], [7] proved that every finite symplectic dual polar space DW (2n-1,q), q not equal 2...
AbstractLet e be the Grassmann-embedding of the symplectic dual polar space DW(2n-1,K) into PG(W), w...
AbstractA. E. Brouwer has shown that the universal embedding of the U2n(2) dual polar space has dime...
AbstractIt has been conjectured by A. E. Brouwer that the dimension of the universal embedding modul...
AbstractThe universal embedding dimension of the binary symplectic dual polar space DSp(2d,2) equals...
AbstractIt is demonstrated that the generating rank of the dual polar space of typeU2n(q2) is(???n2n...
Let Γ be an embeddable non-degenerate polar space of finite rank n≥2. Assuming that Γ admits the uni...
In [6], Cooperstein and Shult showed that the dual polar space DQ(-)(2n+1, K), K = F-q, admits a ful...
AbstractLet V be the Weyl module of dimension 2nn−2nn−2 for the symplectic group Sp(2n,F) whose high...
AbstractLet Δ be a thick dual polar space and F a convex subspace of diameter at least 2 of Δ. Every...
AbstractIn [B. De Bruyn, A. Pasini, Minimal scattered sets and polarized embeddings of dual polar sp...
AbstractLet n≥3 and let F be a field of characteristic 2. Let DSp(2n,F) denote the dual polar space ...
AbstractLet Π be a polar space of rank n and let Gk(Π), k∈{0,…,n−1} be the polar Grassmannian formed...
Let \geq 3$ and let $ be a field of characteristic 2. Let (2n,F)$ denote the dual polar space assoc...
AbstractA set of points of the projective space PG(n,4), n≥0, is said to be of odd type, if it inter...
Cooperstein [6], [7] proved that every finite symplectic dual polar space DW (2n-1,q), q not equal 2...
AbstractLet e be the Grassmann-embedding of the symplectic dual polar space DW(2n-1,K) into PG(W), w...
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