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Nonlinear realization

In mathematical physics, nonlinear realization of a Lie group G possessing a Cartan subgroup H is a particular induced representation of G. In fact, it is a representation of a Lie algebra g {\displaystyle {\mathfrak {g}}} of G in a neighborhood of its origin. A nonlinear realization, when restricted to the subgroup H reduces to a linear representation.

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Nonlinear realization

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Avg. degree1.88
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nonlinear lie representation realization displaystyle mathfrak cartan subgroup algebra sigma physics induced chiral physical group neighborhood linear models goldstone vector

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