Projective modules over quaternion algebras
โ Scribed by S. Parimala; R. Sridharan
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 793 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For several classes of commutative rings R it is known that every finitely generated projective R-modules is isomorphic to a direct sum of a free w x R-module and an invertible ideal of R. For instance, Steinitz 27 essenw x tially proved this for Dedekind domains. Serre 25 proved the same result for
Let K be the function field over a finite field of odd order, and let H be a definite quaternion algebra over K. If L is an order of level M in H, we define theta series for each ideal I of L using the reduced norm on H. Using harmonic analysis on the completed algebra H . and the arithmetic of quat