Lie algebras
by Wan, Che-hsien, Lee, Che-Young
fromPure and applied mathematics / Pergamon Press
In recent years quaternary codes have attracted the attention of the coding community as several notorious binary nonlinear codes containing more codewords than any known linear codes were found to be binary images under the Gray map of linear codes over 94. This discovery opens…
1. Linear algebra over division rings. 1.1. Vector spaces over division rings. 1.2. Matrices over division rings. 1.3. Matrix representations of subspaces. 1.4. Systems of linear equations. 1.5. Hermitian, symmetric, and alternate matrices. 1.6. Comments -- 2. Affine geometry an…
The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L.K. Hua in the forties. The geometry of rectangular matrices, of alternate matrices, of symmetric matrices, and of hermitian matrices over a division ring or a field are stud…