Linear Homogeneous Groups

Sophus Lie

Chapter Chapter 27 in Theory of Transformation Groups I, 2015, pp 581-598 from Springer

Abstract: Abstract In the previous chapter, p. XXX, we characterized the general linear homogeneous group in $$n$$ n variables $$x_1, \dots , x_n$$ x 1 , ⋯ , x n as the most general projective group of the $$n$$ n -times extended space $$x_1, \dots , x_n$$ x 1 , ⋯ , x n , or shortly $$R_n$$ R n , that leaves invariant the plane at infinity $$M_{ n-1}$$ M n - 1 and simultaneously the point $$x_1 = \cdots = x_n = 0$$ x 1 = ⋯ = x n = 0 .

Keywords: Canonical Form; Projective Group; Homogeneous Variable; Invariant Point; Projective Transformation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-46211-9_27

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DOI: 10.1007/978-3-662-46211-9_27

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