Twists of matrix algebras and Brauer groups

Wen Chen Chi; Ki Seng Tan

doi:10.1016/0022-4049(94)00023-C

Twists of matrix algebras and Brauer groups

Wen Chen Chi^*
, Ki Seng Tan

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	111-118
Number of pages	8
Journal	Journal of Pure and Applied Algebra
Volume	98
Issue number	2
DOIs	https://doi.org/10.1016/0022-4049(94)00023-C
Publication status	Published - 1995 Jan 27
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-4049(94)00023-C

Cite this

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title = "Twists of matrix algebras and Brauer groups",

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.",

author = "Chi, \{Wen Chen\} and Tan, \{Ki Seng\}",

note = "Funding Information: author. Supported by NSC Grant \#82-0208-M-007-083, Republic of China.",

year = "1995",

month = jan,

day = "27",

doi = "10.1016/0022-4049(94)00023-C",

language = "English",

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AU - Chi, Wen Chen

AU - Tan, Ki Seng

N1 - Funding Information: author. Supported by NSC Grant #82-0208-M-007-083, Republic of China.

PY - 1995/1/27

Y1 - 1995/1/27

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/26244451386

UR - https://www.scopus.com/pages/publications/26244451386#tab=citedBy

U2 - 10.1016/0022-4049(94)00023-C

DO - 10.1016/0022-4049(94)00023-C

M3 - Article

AN - SCOPUS:26244451386

SN - 0022-4049

VL - 98

SP - 111

EP - 118

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

ER -

Twists of matrix algebras and Brauer groups

Abstract

ASJC Scopus subject areas

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