What is dual pair?

Dual Pair

A dual pair is a 3-tuple consisting of two vector spaces and over the same (real or complex) field and a bilinear form

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Some articles on dual pair:

Dou Di Zhu - Illegal Play With The Kicker
... Dual Solo = Pair Four /w Dual Solo 3-3-3-3 /w J-J Dual Solo must consist of two cards with different ranks, such as J-K ... Otherwise, it is counted as pair which is different ... Dual Pair = 4 Cards of the Same Rank Four /w Dual Pair 3-3-3-3 /w J-J-J-J Dual Pair must consist of two sets of pairs of different ranks, such as 3-3-7-7 ...
Reductive Dual Pair
... 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 ... 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 ...
Dual Pair - Comment
... Associated with a dual pair is an injective linear map from to given by There is an analogous injective map from to ...
Quasiregular Polyhedron - The Convex Quasiregular Polyhedra
... Each of these forms the common core of a dual pair of regular polyhedra ... The names of two of these give clues to the associated dual pair, respectively the cube + octahedron and the icosahedron + dodecahedron ... The octahedron is the core of a dual pair of tetrahedra (an arrangement known as the stella octangula), and when derived in this way is sometimes ...

Famous quotes containing the words pair and/or dual:

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    Tennessee Williams (1914–1983)

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