Semigroups Generated by Similarity Orbits of Semi-invertible Operators and Unitary Orbits of Isometries

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