The Largest Volume Conjugacy Class in Most Compact Simple Lie Groups
Woody Lichtenstein
TL;DR
This paper investigates the properties of the largest volume conjugacy class in various compact simple Lie groups, providing detailed insights into their structure across multiple Lie group types.
Contribution
It offers detailed analysis and characterization of the largest volume conjugacy class in several types of compact simple Lie groups, expanding understanding in this area.
Findings
Identification of the largest volume conjugacy class in each Lie group type
Explicit descriptions of these classes for types An, Bn, Cn, Dn, and G2
Insights into the geometric and algebraic properties of these classes
Abstract
We provide some details about the largest volume conjugacy class in compact simple Lie groups of types An, Bn, Cn, Dn, and G2.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometry and complex manifolds · Random Matrices and Applications