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...

Fix a reductive dual pair ( G , H ) {\displaystyle (G,H)} in S p ( W ) {\displaystyle Sp(W)} . There is a classification of reductive dual pairs. F {\displaystyle...

In mathematics, a dual system, dual pair or a duality over a field K {\displaystyle \mathbb {K} } is a triple ( X , Y , b ) {\displaystyle (X,Y,b)} consisting...

contributions to representation theory, in particular for the notion of a reductive dual pair and the Howe correspondence, and his contributions to mathematics...

Heisenberg group Oscillator representation Metaplectic structure Reductive dual pair Spin group, another double cover Symplectic group Theta function...

perfect field is reductive if it has a representation that has a finite kernel and is a direct sum of irreducible representations. Reductive groups include...

representation theory of the isometry group and in the theory of reductive dual pairs. Let (V, q), (V1, q1), (V2, q2) be three quadratic spaces over a...

classification of such Gelfand pairs, see. Classical examples of such Gelfand pairs are (G, K), where G is a reductive Lie group and K is a maximal compact...

Dual_EC_DRBG (Dual Elliptic Curve Deterministic Random Bit Generator) is an algorithm that was presented as a cryptographically secure pseudorandom number...

In mathematics, the Alvis–Curtis duality is a duality operation on the characters of a reductive group over a finite field, introduced by Charles W. Curtis (1980)...

A dual-mass flywheel (DMF or DMFW) is a rotating mechanical device that is used to provide continuous energy (rotational energy) in systems where the energy...

Hebrew, the dual exists only for words naming time spans (day, week, etc.), a few measure words, and for words that naturally come in pairs and are not...

Frobenius element on it. The dual group G* of a reductive algebraic group G defined over a finite field is the one with dual root datum (and adjoint Frobenius...

to dual pairs Modern interest in these identities has been much stimulated by Roger Howe who considered them in his theory of reductive dual pairs (also...

Dualism or dualistic cosmology is the moral or belief that two fundamental concepts exist, which often oppose each other. It is an umbrella term that...

of as a duality between instantons on R 4 {\displaystyle \mathbb {R} ^{4}} and dual algebraic data over a single point. Symmetry reductions of the ASD...

A dual-listed company or DLC is a corporate structure in which two corporations function as a single operating business through a legal equalization agreement...

connected reductive group whose root datum is dual to that of G {\displaystyle G} . Michel Demazure, Exp. XXI in SGA 3 vol 3 T. A. Springer, Reductive groups...

cardinality of the finite field. George Lusztig remarked in 1984 (Characters of reductive groups over a finite field, xi, footnote): I think it would be most appropriate...

stage may have been an [r] with lip rounding. As a result of this reduction, pairs of words like rap and wrap, rite and write, etc. are homophones in...

A dual-clutch transmission (DCT) (sometimes referred to as a twin-clutch transmission) is a type of multi-speed vehicle transmission system, that uses...

In theoretical physics, S-duality (short for strong–weak duality, or Sen duality) is an equivalence of two physical theories, which may be either quantum...

particular linear representation of a reductive algebraic group over a finite field or local field, or a group with a BN-pair. It is analogous to the 1-dimensional...

integrable system is an integrable system depending on the choice of a complex reductive group and a compact Riemann surface, introduced by Nigel Hitchin in 1987...

field is called reductive if every smooth connected unipotent normal subgroup of G is trivial. (Some authors do not require reductive groups to be connected...

subalgebra k {\displaystyle {\mathfrak {k}}} reductive in g {\displaystyle {\mathfrak {g}}} . A reductive pair ( g , k ) {\displaystyle ({\mathfrak {g}}...

2 January 2019 (2019-01-02) On 13 April 2010, Cathay Pacific Flight 780 suffers a dual engine failure while nearing Hong Kong International Airport at the end of...

A} is noetherian, a rigid dualizing complex over A {\displaystyle A} relative to k {\displaystyle k} is by definition a pair ( R , ρ ) {\displaystyle (R...

introduced by Jacques Tits as a means to understand the structure of isotropic reductive linear algebraic groups over arbitrary fields. The more specialized theory...

vehicle. These contain two different energy recovery systems. An example of dual hybrids are Formula One cars (See Formula One engines#2014–2021 and Formula...