Witt rings of quaternion algebras
β Scribed by Andrzej Sladek
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 302 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let A be a quaternion algebra over a commutative unital ring. We find sufficient conditions for pairs of units of A to generate a free group. Using the Ε½ . well-known isomorphism between SO 3, β«ήβ¬ and the group of real quaternions of norm 1, we obtain free groups of rotations of the Euclidean 3-spac
Let K be a field, let A be an associative, commutative K-algebra, and let ⬠be a nonzero K-vector space of commuting K-derivations of A. Then, with a rather natural definition, A m ⬠s A⬠becomes a Lie algebra and we obtain necessary K and sufficient conditions here for this Lie algebra to be simple