An overview of the history of projective representations of groups

DOI10.7546/jgsp-56-2020-1-29zbMath1457.20002OpenAlexW3103824725MaRDI QIDQ2226008

Takeshi Hirai

Publication date: 11 February 2021

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jgsp/1606100413

zbMATH Keywords

Dirac equationLorentz groupPauli matricesprojective representations and spin characters of groupsspin representations of groups

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 19th century (01A55) Projective representations and multipliers (20C25) History of group theory (20-03)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitary representations of group extensions. I
• Weil's representations of the symplectic groups over finite fields
• Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\).
• Sur certains groupes d'opérateurs unitaires
• Représentations unitaires des groupes symplectiques. (Unitary representations of symmetric groups.)
• Relations among low-dimensional simple Lie groups
• Representations induced in an invariant subgroup
• Irreducible unitary representations of the Lorentz group
• Induced representation of locally compact groups. I
• The Spin Representation of the Symmetric Group
• Hamilton, Rodrigues, and the Quaternion Scandal
• The Schur Multiplier of the Generalized Symmetric Group
• On the Schur Multipliers of the Finite Imprimitive Unitary Reflection Groups G(m, p, n )
• Élie Cartan and his mathematical work

This page was built for publication: An overview of the history of projective representations of groups