Work

The Orthogonal Matrices of O(2) under A Transitive Standard Action of S^1

Year: 2024

Type: article

Abstract: In this paper, we study a Lie group action of the matrix Lie group O(2) on S1 the unit sphere . The research aims to establish the explicit formulas for all entries of whose action on S1 is transitive. All possibilities matrices of are given in which the space is homogeneous. We prove that there are exactly two matrices in such that is the homogeneous space. Moreover, the homogeneous spaces S(n-1) of O(n) for n=3 are also discussed.

Source: Euler Jurnal Ilmiah Matematika Sains dan Teknologi

DOI: 10.37905/euler.v12i2.27752

Authors: Edi Kurniadi, Putri Nisa Pratiwi, Aurillya Queency, Kankan Parmikanti

Institution: Padjadjaran University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4405877305

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