Affine circle geometry over quaternion skew fields
نویسنده
چکیده
We investigate the affine circle geometry arising from a quaternion skew field and one of its maximal commutative subfields.
منابع مشابه
Codes over Quaternion Integers with Respect to Lipschitz Metric
In this paper, we study codes over some finite skew fields by using quaternion integers. Also, we obtain the decoding procedure of these codes. AMS Classification: 94B05, 94B15, 94B35, 94B60
متن کاملCramer rule over quaternion skew field
New definitions of determinant functionals over the quaternion skew field are given in this paper. The inverse matrix over the quaternion skew field is represented by analogues of the classical adjoint matrix. Cramer rule for right and left quaternionic systems of linear equations have been obtained.
متن کاملOn the Siegel-weil Formula for Quaternionic Unitary Groups
We extend the Siegel-Weil formula to all quaternion dual pairs. Applications include the classification problem of skew hermitian forms over a quaternion algebra over a number field and a product formula for the weighted average of the representation numbers of a skew hermitian form by another skew hermitian form.
متن کاملAffine Tallini Sets and Grassmannians
In 1982/1983 A. Bichara and F. Mazzocca characterized the Grassmann space Gr(h,A) of index h of an affine space A of dimension at least 3 over a skew–field K by means of the intersection properties of the three disjoint families of maximal singular subspaces of Gr(h,A) and, till now, their result represents the only known characterization of Gr(h,A). If K is a commutative field and A has finite...
متن کاملRamification of Quaternion Algebras over Stable Elliptic Surfaces
The aim of this work is to study the ramification of quaternion algebras over the function field of a stable elliptic surface, in particular over the field of complex numbers. Over number fields there are criteria for the ramification of quaternion algebras such as the tame symbol formula. We study how this formula can be interpreted in a geometrical way, and how the ramification relates to the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Discrete Mathematics
دوره 174 شماره
صفحات -
تاریخ انتشار 1997