History and variation on the theme of the Frobenius reciprocity theorem

DOI10.1007/BF03023838zbMath0733.20003MaRDI QIDQ810137

Floyd L. Williams

Publication date: 1991

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

linear representationscharacterslocally compact groupsFrobenius reciprocitycomplex Lie groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) History of mathematics in the 20th century (01A60) History of mathematics in the 19th century (01A55) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) History of group theory (20-03)

Cites Work

• Homogeneous vector bundles
• Notes on homological algebra and representations of Lie algebras
• New light on Frobenius' creation of the theory of group characters
• Tensor products of principal series representations. Reduction of tensor products of principal series. Representations of complex semisimple Lie groups
• The Frobenius reciprocity theorem and essentially bounded induced representations
• On the Frobenius reciprocity theorem for locally compact groups
• Induced representation of locally compact groups. I
• Cohomology of Lie algebras
• A Generalization of the Frobenius Reciprocity Theorem

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