A Spaltenstein variety is a specific type of algebraic variety that is studied in the context of representation theory and algebraic geometry, particularly in relation to the study of finite dimensional representations of algebraic groups or algebraic varieties. Spaltenstein varieties arise in the context of the so-called "nilpotent cones." More specifically, they can be associated with certain types of objects called "nilpotent elements" in the representation theory of Lie algebras or algebraic groups.
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