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    Cartan Algebra

    Definition

    The term "Cartan algebra" has two meanings in mathematics, so care is needed in determining from context which meaning is intended. One meaning is a "Cartan subalgebra, " which is frequently simply called a "torus." This sort of object is common, and means the same thing in all field characteristics. The other meaning refers to a class of algebras in prime characteristic that are finite-dimensional analogs of some algebras that are infinite-dimensional in characteristic 0.

    Associated person

    Elie Joseph Cartan

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