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commuting generators

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  • Stabilizer code — An [n,k] stabilizer code is defined to be the vector space V S stabilized by a subgroup S of G n such that I otin S and S has n k independent and commuting generators, S=langle g 1,ldots,g {n k} angle. These conditions are required so that the… …   Wikipedia

  • Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… …   Wikipedia

  • Matrix mechanics — Quantum mechanics Uncertainty principle …   Wikipedia

  • Industrial history of the People's Republic of China — Main articles: Economy and economic history of the People s Republic of China. China s industrial sector has shown great progress since 1949, but in the late 1980s it remained undeveloped in many respects. Although the country manufactured… …   Wikipedia

  • Generalized complex structure — In the field of mathematics known as differential geometry, a generalized complex structure is a property of a differential manifold that includes as special cases a complex structure and a symplectic structure. Generalized complex structures… …   Wikipedia

  • (B, N) pair — In mathematics, a ( B , N ) pair is a structure on groups of Lie typethat allows one to give uniform proofs of many results, instead of giving a large number ofcase by case proofs. Roughly speaking, it shows that all such groups are similar to… …   Wikipedia

  • Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) …   Wikipedia

  • Haag-Lopuszanski-Sohnius theorem — In theoretical physics, the Haag Lopuszanski Sohnius theorem shows that the possible symmetries of a consistent 4 dimensional quantum field theory do not only consist of internal symmetries and Poincaré symmetry, but can also include… …   Wikipedia

  • Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …   Wikipedia

  • Tensor algebra — In mathematics, the tensor algebra of a vector space V , denoted T ( V ) or T bull;( V ), is the algebra of tensors on V (of any rank) with multiplication being the tensor product. It is the free algebra on V , in the sense of being left adjoint… …   Wikipedia

  • Quantum field theory — In quantum field theory (QFT) the forces between particles are mediated by other particles. For instance, the electromagnetic force between two electrons is caused by an exchange of photons. But quantum field theory applies to all fundamental… …   Wikipedia

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