|
This article is cited in 22 scientific papers (total in 22 papers)
Simple algebras and quadratic forms
A. S. Merkur'ev
Abstract:
This paper gives a criterion for the splittability of a central simple finitedimensional division algebra under the extension of the ground field to the universal splitting field of a certain quadratic form. The criterion is stated in terms of the Clifford algebra of the quadratic form. As a corollary, it is shown that the $u$-invariant of a field can take any even values.
Received: 01.06.1989
Citation:
A. S. Merkur'ev, “Simple algebras and quadratic forms”, Math. USSR-Izv., 38:1 (1992), 215–221
Linking options:
https://www.mathnet.ru/eng/im1034https://doi.org/10.1070/IM1992v038n01ABEH002195 https://www.mathnet.ru/eng/im/v55/i1/p218
|
|