For a skew field extension L/K, a number of intermediate fields can be defined on the basis of the centralizer of K in L. In this paper such intermediate fields are studied in detail. Among the results are a standard decomposition of any skew field extension of finite degree and four types of skew f
โฆ LIBER โฆ
A matrix problem over a central quadratic skew field extension
โ Scribed by A.G. Zavadskij
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 134 KB
- Volume
- 428
- Category
- Article
- ISSN
- 0024-3795
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Let k be a function field of one variable over a finite field with the characteristic not equal to two. In this paper, we consider the prehomogeneous representation of the space of binary quadratic forms over k. We have two main results. The first result is on the principal part of the global zeta f