Lie algebra and String theory

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Lie algebra and String theory

Lie algebra vs. String theory

In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity. In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.

Similarities between Lie algebra and String theory

Lie algebra and String theory have 5 things in common (in Unionpedia): Group (mathematics), Orthogonal group, Quantum mechanics, Representation theory, Virasoro algebra.

Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Orthogonal group

In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.

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Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

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Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

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Virasoro algebra

In mathematics, the Virasoro algebra (named after the physicist Miguel Angel Virasoro) is a complex Lie algebra, the unique central extension of the Witt algebra.

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The list above answers the following questions

What Lie algebra and String theory have in common
What are the similarities between Lie algebra and String theory

Lie algebra and String theory Comparison

Lie algebra has 117 relations, while String theory has 338. As they have in common 5, the Jaccard index is 1.10% = 5 / (117 + 338).

References

This article shows the relationship between Lie algebra and String theory. To access each article from which the information was extracted, please visit:

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