In the mathematical field of representation theory, a reductive dual pair is a pair of subgroups (G, G′) of the isometry group Sp(W) of a symplectic vector space W, such that G is the centralizer of G′ in Sp(W) and vice versa, and these groups act reductively on W. Somewhat more loosely, one speaks of a dual pair whenever two groups are the mutual centralizers in a larger group, which is frequently a general linear group. The concept was introduced by Roger Howe in an influential preprint of the 1970s, which was ultimately published as Howe (1989a).
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... Howe correspondence between representations of elements of a reductive dual pair ... Heisenberg group Metaplectic group ...
... The road is a mixture of dual carriageway and single carriageway, with the section east of Low Newton, Cumbria to the M6 being mainly dual ... Further dual sections are south of Newby Bridge, south of Greenodd and south of Ulverston ...
... In coding theory, the dual code of a linear code is the linear code defined by where is a scalar product ... In linear algebra terms, the dual code is the annihilator of C with respect to the bilinear form ... The dimension of C and its dual always add up to the length n A generator matrix for the dual code is a parity-check matrix for the original code and vice versa ...
... Dual use goods are products and technologies normally used for civilian purposes but which may have military applications ... European Commision, Trade Topics, Dual Use “ ” Dual-use is a term often used in politics and diplomacy to refer to technology which can be used for both peaceful ... More generally speaking, dual-use can also refer to any technology which can satisfy more than one goal at any given time ...
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