Erlangen program at large-1: geometry of invariants

DOI10.3842/SIGMA.2010.076zbMath1218.30136arXivmath/0512416MaRDI QIDQ542693

G.V.P.Khmelevskaya

Publication date: 17 June 2011

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512416

zbMATH Keywords

Möbius transformationsClifford algebracomplex numbersdual numberssplit-complex numbersdouble numbers

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (11)

Geometric Invariants Under the Möbius Action of the Group SL(2;R) ⋮ Möbius action of \(\mathrm{SL}(2; \mathbb{R})\) on different homogeneous spaces ⋮ The groups of two by two matrices in double and dual numbers, and associated Möbius transformations ⋮ Geometry associated with the $\text{SL}(3,\mathbb{R})$ action on homogeneous space using the Erlangen program ⋮ Introduction to hybrid numbers ⋮ Induced representations and hypercomplex numbers ⋮ Hypercomplex representations of the Heisenberg group and mechanics ⋮ Conformal Parametrisation of Loxodromes by Triples of Circles ⋮ The Geometry of the Projective Action of $\text{SL}(3,\mathbb{R})$ from the Erlangen Perspective ⋮ GiNaC-cycle ⋮ An extension of Mobius--Lie geometry with conformal ensembles of cycles and its implementation in a GiNaC library

Uses Software

• GiNaC
• Noweb

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