A generalization of Kakutani’s splitting procedure
✍ Scribed by Aljoša Volčič
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 157 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0373-3114
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📜 SIMILAR VOLUMES
Kxon's eigenvalue procedure in its original form applies only to systems having real eigenvalues and the simple orthogonality properties associated with mechanical vibration problems which may be formulated in terms of two symmetric real matrices. In this paper, the method is extended to cover more
Let F be either an algebraic number field or a p-adic field and A a central simple algebra over F . Suppose A is spanned by a multiplicative semigroup Γ ⊂ A with the property that the minimal polynomial of every g ∈ Γ splits over F . Then A represents the trivial class in the Brauer group of F .