Twisted group algebras of Abelian groups

被引：0

作者：

Duarte, Andre ^{[1
]}

Ferraz, Raul Antonio ^{[1
]}

Milies, Cesar Polcino ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66-281, BR-05314970 Sao Paulo, Brazil

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2024年 / 95卷

基金：

巴西圣保罗研究基金会;

关键词：

Twisted group algebra; Finite fields; Idempotent; Simple component; CODES;

D O I：

10.1016/j.ffa.2024.102386

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study twistings for finite Abelian groups over fields and then show how to extend the notion of idempotent determined by a subgroup, so useful in the case of group algebras, to the case of twisted group algebras, at least when the subgroup is cyclic. In doing so, we obtain a method to compute in a direct way the primitive central idempotents of these algebras over a finite field and fully describe their simple components. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：14

共 50 条

[1] Invariants for group algebras of Abelian groups
Danchev P.
[J]. Rendiconti del Circolo Matematico di Palermo, 2002, 51 (3) : 391 - 402
[2] TWISTED GROUP ALGEBRAS OF DISCRETE GROUPS
PASSMAN, DS
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1970, 21 (SEP) : 219 - &
[3] GROUP ALGEBRAS OF COUNTABLE PERIODIC ABELIAN GROUPS
BERMAN, SD
ROSSA, GR
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR, 1971, (05): : 387 - &
[4] FINITE ABELIAN GROUPS WITH ISOMORPHIC GROUP ALGEBRAS
DESKINS, WE
[J]. DUKE MATHEMATICAL JOURNAL, 1956, 23 (01) : 35 - 40
[5] ISOMORPHISM OF REAL GROUP ALGEBRAS OF ABELIAN-GROUPS
BERMAN, SD
BOGDAN, VG
[J]. MATHEMATICAL NOTES, 1977, 21 (1-2) : 127 - 131
[6] Twisted Y-group algebras of finite groups
Fan, Y
[J]. PROGRESS IN NATURAL SCIENCE, 1998, 8 (03) : 274 - 284
[7] On the semisimple twisted group algebras of primary cyclic groups
Mollov, TZ
Nachev, NA
[J]. HOUSTON JOURNAL OF MATHEMATICS, 2000, 26 (01): : 55 - 66
[8] Isometry groups of twisted reduced group C*-algebras
Long, Botao
Wu, Wei
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (14)
[9] Twisted Y-group algebras of finite groups
樊恽
[J]. Progress in Natural Science:Materials International, 1998, (03) : 19 - 29
[10] META-ABELIAN UNIT GROUPS OF GROUP-ALGEBRAS ARE USUALLY ABELIAN
SHALEV, A
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1991, 72 (03) : 295 - 302

← 1 2 3 4 5 →