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

with

and

We say puts and **in duality**.

We call two elements and **orthogonal** if

We call two sets and **orthogonal** if any two elements of and are orthogonal.

### Other articles related to "dual pair, dual, pair, pairs":

**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 ...

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 ...Quasiregular Polyhedron - The Convex Quasiregular Polyhedra

... Each of these forms the common core of a

... 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 called the tetratetrahedron ...Reductive

... of representation theory, a reductive

**Dual Pair**... 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 ... 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 ...### Famous quotes containing the words pair and/or dual:

“The Republican convention, an event with the intellectual content of a Guns’n’Roses lyric attended by every ofay insurance broker in America who owns a *pair* of white shoes.”

—P.J. (Patrick Jake)

“Thee for my recitative,

Thee in the driving storm even as now, the snow, the winter-day

declining,

Thee in thy panoply, thy measur’d *dual* throbbing and thy beat

convulsive,

Thy black cylindric body, golden brass and silvery steel,”

—Walt Whitman (1819–1892)

Main Site Subjects

Related Subjects

Related Phrases

Related Words