Some Lie theory on Shearlet group

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2024 | Volume:15 | Issue:7 Page(s): 11-16

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Title

Some Lie theory on Shearlet group

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Keywords

Shearlet group

Lie group

Lie algebra

exponential

map

semidirect product

Abstract

In this work, using some tools of Lie theory, we compute the Lie algebra of the Shearlet group regarding as a 3-fold
semidirect product Lie group. As we will see, it is a 3-fold semidirect sum of Lie algebras.
Keywords: Shearlet group; Lie group; Lie algebra; exponential map; semidirect product
2020 MSC: Primary 42C40; Secondary 22E60

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