Singularities of generic characteristic polynomials and smooth finite splittings of Azumaya algebras over surfaces

Lattices generated by orbits of subspace

Lattices generated by orbits of subspaces under finite singular unitary group and its characteristic polynomials

✍ You Gao 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 232 KB

Let F (n+l) q 2 be the (n + l)-dimensional vector space over the finite field F q 2 , and U n+l,n (F q 2 ) the singular Unitary groups of degree n + l over F q 2 . Let M be any orbit of subspaces under U n+l,n (F q 2 ). Denote by L the set of subspaces which are intersections of subspaces in M, wher