The Lie-group catalogue
A table of Lie groups
Compare compact, split-real, and complex forms.
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Filters
Selected global groups, not all real forms. Dimensions are real except in the complex column.
A family tile includes its stated parameters. Equal Lie algebras do not identify global groups. Open a tile for global forms, low-rank coincidences, and recorded covering or quotient maps. Arrow keys move between tiles; Enter opens details.