Orthogonal group and String group

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

Difference between Orthogonal group and String group

Orthogonal group vs. String 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. In topology, a branch of mathematics, a string group is an infinite-dimensional group String(n) introduced by as a 3-connected cover of a spin group.

Similarities between Orthogonal group and String group

Orthogonal group and String group have 6 things in common (in Unionpedia): Exact sequence, Homotopy group, Lie group, Mathematics, Orthogonal group, Spin group.

Exact sequence

An exact sequence is a concept in mathematics, especially in group theory, ring and module theory, homological algebra, as well as in differential geometry.

Exact sequence and Orthogonal group · Exact sequence and String group · See more »

Homotopy group

In mathematics, homotopy groups are used in algebraic topology to classify topological spaces.

Homotopy group and Orthogonal group · Homotopy group and String group · See more »

Lie group

In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.

Lie group and Orthogonal group · Lie group and String group · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Mathematics and Orthogonal group · Mathematics and String group · See more »

Orthogonal group

Orthogonal group and Orthogonal group · Orthogonal group and String group · See more »

Spin group

In mathematics the spin group Spin(n) is the double cover of the special orthogonal group, such that there exists a short exact sequence of Lie groups (with) As a Lie group, Spin(n) therefore shares its dimension,, and its Lie algebra with the special orthogonal group.

Orthogonal group and Spin group · Spin group and String group · See more »

The list above answers the following questions

What Orthogonal group and String group have in common
What are the similarities between Orthogonal group and String group

Orthogonal group and String group Comparison

Orthogonal group has 178 relations, while String group has 14. As they have in common 6, the Jaccard index is 3.12% = 6 / (178 + 14).

References

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

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