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arXiv math/0410399math.CVmath.GRmath.MG

Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains

Vladimir V. Kisil, Debapriya Biswas

备注：
14 pages, AMS-LaTeX, 31 PS graphcs in 7 Figures; v2--the missing PS file is included now; v3 minor corrections, reference added; v4 numerous misprints corrected
发表信息：
Trans. Inst. Math. of the NAS of Ukraine, v. 1(2004), no.3, pp.100--118
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英文摘要：

This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory of SL(2,R) group. We describe here geometries of corresponding domains. The principal role is played by Clifford algebras of matching types. Keywords: analytic function theory, semisimple groups, elliptic, parabolic, hyperbolic, Clifford algebras

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