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Everything about Compact group
Topological group with compact topology
In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space. Compact groups are a natural generalization of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Compact groupA 5-minute orientation
- Skim a recent paper: A Fast Radio Burst in a Compact Galaxy Group at z ∼ 1Influential work since 2022
- Pick up a classic book: Structure of Compact GroupsThe most-reprinted book on the subject
- Read the landmark paper: The group algebra of a locally compact groupCited 81 times
- Go sideways: Weyl character formulaA closely related topic
- Go sideways: Theorem of the highest weightA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
The group algebra of a locally compact group
Compact Group selection From Redshift Surveys
Countable sections for locally compact group actions
Probabilities on a compact group
Foliations and compact lie group actions
A long-lasting compact group
Rokhlin dimension for compact group actions
Frames generated by compact group actions
🆕 Influential since 2022
A Fast Radio Burst in a Compact Galaxy Group at z ∼ 1
Compact 40% Fractional Bandwidth Doherty PA With Input Group Delay Engineering
Compact geodesic orbit spaces with a simple isotropy group
The influence of Hickson-like compact group environment on galaxy luminosities
Compact and Wideband Flat Negative Group Delay Circuit Investigation
📚 Books worth reading
Structure of Compact GroupsKarl H. Hofmann, Sidney A. Morris · 2006
FOURIER ANALYSIS ON GROUPSWalter Rudin · 1962- 📕Introduction to topological groupsTaqdir Husain · 1966
Introduction to the representation theory of compact and locally compact groupsAlain Robert · 1983
Dualität lokalkompakter GruppenHerbert Heyer · 1970
Locally compact quantum groups and groupoidsLeonid Vainerman · 2003- 📕ROSATJacqueline van Gorkom · 1993
New Directions in Locally Compact GroupsPierre-Emmanuel Caprace, Nicolas Monod · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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