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LieAlgebraData

LieAlgebraData[algebra, "property"]
gives the value of the specific property for the Lie algebra named algebra.
LieAlgberaData[algebra]
gives the available data for the Lie algebra named algebra.
LieAlgebraData["Algebras"]
gives a list of all the available to the database Lie algebras.
LieAlgebraData["DBSize"]
gives the size of the database.
LieAlgebraData["Properties"]
gives a list of all the available properties of the database.
LieAlgebraData["Query"→{}]
passes a specific query to the database.
  • The names of the Lie algebras can be specified by standard names such as "General Linear" and "Special Orthogonal".