THE RATIONAL GROUP ALGEBRA OF A FINITE GROUP-Reference-Cited by-同舟云学术

THE RATIONAL GROUP ALGEBRA OF A FINITE GROUP

Published:2012-12-20 Issue:03 Volume:12 Page:1250168
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

BAKSHI GURMEET K.¹,KULKARNI RAVINDRA S.²,PASSI INDER BIR S.³⁴

Affiliation:

1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India

2. Department of Mathematics, Indian Institute of Technology, Bombay, Mumbai-400 076, India

3. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh-160014, India

4. Indian Institute of Science Education and Research, Mohali, Sector 81, Mohali (Punjab)-140306, India

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881250168X

Reference20 articles.

1. On the group ring of a finite abelian group

2. Primitive Central Idempotents in Rational Group Algebras

3. Monomial Representations and Metabelian Groups

4. Central idempotents in group algebras

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