Group Algebras of Finite Groups as Lie Algebras

DOI10.1080/00927870903417638zbMath1215.20005arXiv0809.0074OpenAlexW2158557173MaRDI QIDQ3579921

Ivan Marin

Publication date: 11 August 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0074

zbMATH Keywords

group algebrasinvolutionsLie algebrasFrobenius-Schur indicators

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (1)

Skew-symmetric elements of rational group algebras

Cites Work

• The Lie algebra of transpositions.
• Infinitesimal Hecke algebras.
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