Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-25T02:55:42.546Z Has data issue: false hasContentIssue false
  • English
  • Français

Twists of matrix algebras and some subgroups of Brauer groups

Published online by Cambridge University Press:  17 April 2009

Wenchen Chi
Wenchen Chi
Affiliation:
Department of MathematicsNational Tsing Hua UniversityHsinchu, Taiwan 30043Republic of China
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We consider twists of matrix algebras by some continuous characters. There are some subgroups of Brauer groups arising from these twists. Some results regarding these subgroups are proved.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 3 , June 1992 , pp. 377 - 383
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Borevich, Z.I. and Shafarevich, I.R., Number theory (Academic Press, New York, 1966).Google Scholar
[2]Chi, W., ‘Hasse invariants of some endomorphism algebras of abelian varieties’, Chinese J. Math. 18 (1990), 87–94.Google Scholar
[3]Chi, W., ‘Twists of central simple algebras and endomorphism algebras of some abelian varieties’, Math. Ann. 276 (1987), 615–632.Google Scholar
[4]Reiner, I., Maximal orders (Academic Press, New York, 1975).Google Scholar
[5]Ribet, K., ‘Twists of modular forms and endomorphisms of abelian varieties’, Math. Ann. 253 (1980), 43–62.Google Scholar
[6]Ribet, K., ‘Endomorphism algebras of abelian varieties attached to newforms of weight 2’, Semin. D.P.P. (1979–1980), 263–276.Google Scholar
[7]Serre, J-P., Local fields, (English translation) (Springer-Verlag, Berlin, Heidelberg, New York, 1979).CrossRefGoogle Scholar
[8]Weil, A., ‘Algebras with involutions and the classical groups’, J. Indian Math. Soc. 24 (1960), 589–623.Google Scholar
[9]Yamada, T., The Schur subgroup of the Brauer group 397, Lecture Notes in Math. (Springer-Verlag, Berlin, Heidelberg, New York, 1974).Google Scholar