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. A closely related notion due to George Lusztig is a canonical basis in representations of simple and affine quantum groups. See also crystal base.
- 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).
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