Dual group
Encyclopedia
In mathematics
, the dual group may be:
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, the dual group may be:
- The Pontryagin dualPontryagin dualityIn mathematics, specifically in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform on locally compact groups, such as R, the circle or finite cyclic groups.-Introduction:...
of a locally compact abelian group - The Langlands dual of a reductive algebraic group
- The Deligne-Lusztig dual of a reductive group over a finite field.