Singular and Totally Singular Unitary Spaces

In this article, we present a decomposition theorem for unitary spaces over a central simple division algebra with involution in characteristic 2. This is a generalization of a decomposition result for quadratic forms in characteristic 2 from 4 Hoffmann , D. , Laghribi , A. ( 2004 ). Quadratic forms and Pfister neighbors in characteristic 2 . Trans. Amer. Math. Soc. 356 ( 10 ): 4019 – 4053 .Crossref], Web of Science ®] , Google Scholar]] and extends a generalization of the Witt decomposition theorem for nonsingular spaces in this setting to cover spaces that may be singular.