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Borchers algebra

Index Borchers algebra

In mathematics, a Borchers algebra or Borchers–Uhlmann algebra or BU-algebra is the tensor algebra of a vector space, often a space of smooth test functions. [1]

7 relations: Distribution (mathematics), O*-algebra, Quantum field theory, State (functional analysis), Tensor algebra, Vector space, Wightman axioms.

Distribution (mathematics)

Distributions (or generalized functions) are objects that generalize the classical notion of functions in mathematical analysis.

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In mathematics, an O*-algebra is an algebra of possibly unbounded operators defined on a dense subspace of a Hilbert space.

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Quantum field theory

In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.

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State (functional analysis)

In functional analysis, a state of an operator system is a positive linear functional of norm 1.

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Tensor algebra

In mathematics, the tensor algebra of a vector space V, denoted T(V) or T(V), is the algebra of tensors on V (of any rank) with multiplication being the tensor product.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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Wightman axioms

In physics, the Wightman axioms (also called Gårding–Wightman axioms), named after Lars Gårding and Arthur Wightman, are an attempt at a mathematically rigorous formulation of quantum field theory.

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BU algebra, BU-algebra, Borchers-Uhlmann algebra, Locality ideal, Wightman functional.


[1] https://en.wikipedia.org/wiki/Borchers_algebra

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