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unitary transformation group

См. также в других словарях:

  • Unitary transformation — Informally, a unitary transformation is a transformation that respects the dot product: the dot product of two vectors before the transformation is equal to their dot product after the transformation. More precisely, a unitary transformation is… …   Wikipedia

  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   Wikipedia

  • Unitary — may refer to:* In automotive design, unitary construction is another common term for a unibody or monocoque construction * In Christian doctrine, unitarianism is the belief in a unitary God as opposed to the concept of the Trinity. ** Unitarian… …   Wikipedia

  • Unitary operator — For unitarity in physics, see unitarity (physics). In functional analysis, a branch of mathematics, a unitary operator (not to be confused with a unity operator) is a bounded linear operator U : H → H on a Hilbert space H… …   Wikipedia

  • Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

  • Lie group — Lie groups …   Wikipedia

  • Lorentz group — Group theory Group theory …   Wikipedia

  • General linear group — Group theory Group theory …   Wikipedia

  • Special unitary group — In mathematics, the special unitary group of degree n , denoted SU( n ), is the group of n times; n unitary matrices with determinant 1. The group operation is that of matrix multiplication. The special unitary group is a subgroup of the unitary… …   Wikipedia

  • Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …   Wikipedia

  • Non-abelian gauge transformation — In theoretical physics, a non abelian gauge transformation means a gauge transformation taking values in some group G, the elements of which do not obey the commutative law when they are multiplied. The original choice of G in the physics of… …   Wikipedia

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