Complete reducibility of gyrogroup representations

DOI10.1080/00927872.2019.1662916zbMath1481.20221OpenAlexW2973258230MaRDI QIDQ4959890

Teerapong Suksumran

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1662916

zbMATH Keywords

unitary representationgyrogroup actioncomplete reducibilityleft regular representationgyrogroup representation

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Loops, quasigroups (20N05)

Related Items

On Schreier graphs of gyrogroup actions

Cites Work

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• Gyrogroup actions: a generalization of group actions
• Representation theory of finite groups. An introductory approach.
• A note on the equality of rank and trace for an idempotent matrix
• Möbius's functional equation and Schur's lemma with applications to the complex unit disk
• The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems
• Extension of Maschke’s theorem