On Differential Invariants of Some Classical Groups

Ural D. Bekbaev () and Isamiddin S. Rakhimov ()
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Ural D. Bekbaev: IIUM, Kulliyyah of Engineering
Isamiddin S. Rakhimov: UPM, Laboratory of Cryptography, Analysis and Structure, (INSPEM) & Department of Mathematics, FS

A chapter in International Conference on Mathematical Sciences and Statistics 2013, 2014, pp 255-263 from Springer

Abstract: Abstract The paper deals with the description of the field of differential rational invariants under simultaneous changing of the differential operator and an action of subgroups of affine transformation group on system of finite points of finite-dimensional differential vector space. In particular, the results in terms of differential geometry mean that we describe the field of differential rational invariants of finite system of geometric curves with respect to various group motions.

Keywords: Differential Invariants; Affine Transformation Group; Geometric Curves; Rational Invariants; Finite Point (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-4585-33-0_26

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DOI: 10.1007/978-981-4585-33-0_26

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