Lineage of the theory of invariant integrals on groups

DOI10.7546/giq-24-2022-1-37zbMath1523.22002WikidataQ114011765 ScholiaQ114011765MaRDI QIDQ6158495

Takeshi Hirai

Publication date: 31 May 2023

Published in: Geometry Integrability and Quantization (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/geometry-integrability-and-quantization-papers-and-lecture-series/volume-24/issue-none/Lineage-of-the-Theory-of-Invariant-Integrals-on-Groups/10.7546/giq-24-2022-1-37.full

zbMATH Keywords

Frobenius character theoryHurwitz-Schur coordinates on rotation groupsinvariant integral on groups and homogeneous spacesquasi-invariant measures on homogeneous spacesuniqueness of invariant measures

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Analysis on real and complex Lie groups (22E30) General histories, source books (01A05) History of topological groups (22-03)

Cites Work

• Der Maßbegriff in der Theorie der kontinuierlichen Gruppen
• Über die Metrisation der topologischen Gruppen
• Über das Haarsche Mass in der lokal bikompakten Gruppe
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