Algebraic Characterization of Isometries of the Hyperbolic 4-Space | Zendy

Krishnendu Gongopadhyay | Zendy

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Algebraic Characterization of Isometries of the Hyperbolic 4-Space

Author(s) -

Krishnendu Gongopadhyay

Publication year - 2012

Publication title -

isrn geometry

Language(s) - English

Resource type - Journals

eISSN - 2090-6315

pISSN - 2090-6307

DOI - 10.5402/2012/757489

Subject(s) - conjugacy class , characterization (materials science) , mathematics , pure mathematics , representation (politics) , algebraic number , relatively hyperbolic group , space (punctuation) , hyperbolic space , hyperbolic manifold , algebra over a field , mathematical analysis , hyperbolic function , computer science , physics , politics , political science , law , optics , operating system

We classify isometries of the real hyperbolic 4-space by their conjugacy classes of centralizers. We use the representation of the isometries by 2×2 quaternionic matrices to obtain this characterization. Another characterization in terms of conjugacy invariants is also given.

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