Twists of matrix algebras and Brauer groups

Wen-Chen Chi, Ki Seng Tan

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study the twists of matrix algebras by some continuous characters which are regarded as 1-cocycles. Using results of Tate and Brauer-Hasse-Noether, we show that the whole Brauer group of a number field can be obtained by such twists of matrix algebras.

Original languageEnglish
Pages (from-to)111-118
Number of pages8
JournalJournal of Pure and Applied Algebra
Volume98
Issue number2
DOIs
Publication statusPublished - 1995 Jan 27

Fingerprint

Brauer Group
Matrix Algebra
Twist
Noether
Cocycle
Number field
Character

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Twists of matrix algebras and Brauer groups. / Chi, Wen-Chen; Tan, Ki Seng.

In: Journal of Pure and Applied Algebra, Vol. 98, No. 2, 27.01.1995, p. 111-118.

Research output: Contribution to journalArticle

Chi, Wen-Chen ; Tan, Ki Seng. / Twists of matrix algebras and Brauer groups. In: Journal of Pure and Applied Algebra. 1995 ; Vol. 98, No. 2. pp. 111-118.
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