An algorithm to compute the Wedderburn decomposition of semisimple group algebras implemented in the GAP package \texttt{wedderga}.

DOI10.1016/j.jsc.2007.07.019zbMath1172.20014OpenAlexW2024123675MaRDI QIDQ1012140

Gabriela Olteanu, Ángel Del Río

Publication date: 14 April 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2007.07.019

zbMATH Keywords

group algebrasWedderburn decompositions

Mathematics Subject Classification ID

Related Items (2)

Describing units of integral group rings up to commensurability. ⋮ wedderga

Uses Software

• GAP
• LAGUNA

Cites Work

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• Wedderburn decomposition of finite group algebras.
• An algorithm to compute the primitive central idempotents and the Wedderburn decomposition of a rational group algebra.
• On the algebraic structure of group rings
• On Monomial Characters and Central Idempotents of Rational Group Algebras
• The Group of Automorphisms of the Rational Group Algebra of a Finite Metacyclic Group
• Computing the Wedderburn decomposition of group algebras by the Brauer–Witt theorem
• CENTRAL IDEMPOTENTS IN THE RATIONAL GROUP ALGEBRA OF A FINITE NILPOTENT GROUP
• Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper.
• The Schur subgroup of the Brauer group

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