251. Corrigendum to the paper 'Hermitian forms over division algebras over real function fields'
- Author
-
Nguyen Quoc Thang
- Subjects
Pure mathematics ,Number theory ,Real-valued function ,General Mathematics ,Basis (universal algebra) ,Algebraic geometry ,Division (mathematics) ,Quaternion ,Notation ,Hermitian matrix ,Mathematics - Abstract
In the previous paper [T] we gave a classification of hermitian forms over the real function fieldk=R(t) and its completionsk v with respect to valuationsv trivial onR. Unfortunately in the local case the arguments given for cases A and D, in general, were not correct. Therefore the resulting local and local-global classifications obtained were incorrect. I would like also to thank Dr. D. Hoffmann for pointing out these mistakes and the referee for useful comments. Here we would like to make necessary corrections to [T]. We keep the same notation used there, except that in the first paragraph,J is not the standard involution of a quaternion division algebraD (with basis {1,i,j,ij}). All hermitian forms will be hermitian forms with respect toJ, with values inD.
- Published
- 1994