TWISTS OF MATRIX ALGEBRAS AND BRAUER GROUPS

Authors
CHI WC TAN KS
Citation
Wc. Chi et Ks. Tan, TWISTS OF MATRIX ALGEBRAS AND BRAUER GROUPS, Journal of pure and applied algebra, 98(2), 1995, pp. 111-118
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
98
Issue
2
Year of publication
1995
Pages
111 - 118
Database
ISI
SICI code
0022-4049(1995)98:2<111:TOMAAB>2.0.ZU;2-U
Abstract
We study the twists of matrix algebras by some continuous characters w hich are regarded as 1-cocycles. Using results of Tate and Brauer-Hass e-Noether, we show that the whole Brauer group of a number field can b e obtained by such twists of matrix algebras.