Electronic Resource
Springer
Mathematische Zeitschrift
235 (2000), S. 195-212
ISSN:
0025-5874
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. Let F be a Henselian valued field with $\mathrm{char}(\overline{F})\neq 2$ , and let S be an inertially splitF}-central division algebra with involution $\sigma ^{\ast }$ that is trivial on an inertial lift in S of the field $Z(\overline{S})$ . We prove necessary and sufficient conditions for S to contain a $\sigma ^{\ast }$ -stable quaternion {\it F}-subalgebra, and for $(S,\sigma ^{\ast })$ to decompose into a tensor product of quaternion algebras. These conditions are in terms of decomposability of an associated residue central simple algebra $\overline{I}$ that arises from a Brauer group decomposition of S.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002090000131
Permalink
|
Location |
Call Number |
Expected |
Availability |