特征2的除环上Hermitian矩阵几何

Geometry of Hermitian matrices over a division ring of characteristic 2

设D是带对合的除环.当char(D)≠2时,D上Hermitian矩阵几何的基本定理最近已经证明.作者进一步证明了特征2的带对合的除环上Hermitian矩阵几何的基本定理,从而得到任意带对合的除环上Hermitian矩阵几何的基本定理.

Let D be any division ring with an involution. When char（D） ≠ 2, the fundamental theorem of the geometry of Hermitian matrices over D has been proved recently. This paper proves further the fundamental theorem of the geometry of Hermitian matrices over D of char（D） = 2. Thus the fundamental theorem of the geometry of Hermitian matrices over any division ring with an involution is obtained.