Tannaka-Krein duality
In mathematics, Tannaka-Krein duality theory concerns the interaction of a topological group and its category of linear representations. The aim is for a version of Pontryagin duality that is a mathematical duality for groups that are not commutative. The case of compact groups was first treated successfully. See Doplicher-Roberts theorem.
The theory is named for two men, the Ukrainian mathematician Mark Grigorievich Krein, and the Japanese Tannaka.
The theorem is relevant to quantum groups and general mathematical physics. Alexander Grothendieck showed that the process of Tannaka duality can be extended to algebraic groups.
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