THE RATIONAL GROUP ALGEBRA OF A FINITE GROUP

被引：9

作者：

Bakshi, Gurmeet K. ^{[1
]}

Kulkarni, Ravindra S. ^{[2
]}

Passi, Inder Bir S. ^{[3
,4
]}

机构：

[1] Panjab Univ, Ctr Adv Study Math, Chandigarh 160014, India

[2] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India

[3] Panjab Univ, Ctr Adv Study Math, Chandigarh 160014, India

[4] Indian Inst Sci Educ & Res Mohali, Mohali 140306, Punjab, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 03期

关键词：

Rational group algebra; primitive central idempotents; Wedderburn decomposition; metabelian groups; Shoda pairs; irreducible complex characters; CENTRAL IDEMPOTENTS; UNIT GROUP;

D O I：

10.1142/S021949881250168X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An explicit expression for the primitive central idempotent of the rational group algebra Q[G] of a finite group G associated with any complex irreducible character of G is obtained. A complete set of primitive central idempotents and the Wedderburn decomposition of the rational group algebra of a finite metabelian group is also computed.

引用

页数：17

共 20 条

[1]

Ayoub R.G., 1969, Bull. Aust. Math. Soc., V1, P245

[2] PRIMITIVE CENTRAL IDEMPOTENTS IN RATIONAL GROUP ALGEBRAS [J].

Bakshi, Gurmeet K. ;

Passi, Inder Bir S. .

COMMUNICATIONS IN ALGEBRA, 2012, 40 (04) :1413-1426

[3] MONOMIAL REPRESENTATIONS AND METABELIAN GROUPS [J].

BASMAJI, BG .

NAGOYA MATHEMATICAL JOURNAL, 1969, 35 (JUL) :99-&

[4]

Cristo OB, 2006, CONTEMP MATH, V420, P75

[5]

Curtis Ch, 1962, Representation Theory of Finite Groups and Associative Algebras

[6]

Goodaire E. G., 1996, N HOLLAND MATH STUDI, V184

[7] On the automorphism groups of rational group algebras of metacyclic groups [J].

Herman, A .

COMMUNICATIONS IN ALGEBRA, 1997, 25 (07) :2085-2097

[8] GENERATORS OF LARGE SUBGROUPS OF THE UNIT GROUP OF INTEGRAL GROUP-RINGS [J].

JESPERS, E ;

LEAL, G .

MANUSCRIPTA MATHEMATICA, 1993, 78 (03) :303-315

[9]

Jespers E, 2000, J REINE ANGEW MATH, V521, P99

[10] CENTRAL IDEMPOTENTS IN THE RATIONAL GROUP ALGEBRA OF A FINITE NILPOTENT GROUP [J].

Jespers, Eric ;

Leal, Guilherme ;

Paques, Antonio .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2003, 2 (01) :57-62

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