Crystal (mathematics)

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Crystal in mathematics has more than one abstract meaning

• Crystal graphs were introduced in representation theory, by Masaki Kashiwara in the 1990s, with application to the decomposition of tensor products, an idea that has been applied to reductive groups by David Kazhdan and others. See for example quantum group.

• Crystal (differential equation) is an idea introduced in algebraic geometry in the 1960s by Alexander Grothendieck, for a certain type of algebraic differential equation (with divided power structure) that is used to define crystalline cohomology).