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On Differential Invariants of Some Classical Groups

In: International Conference on Mathematical Sciences and Statistics 2013

Author

Listed:
  • Ural D. Bekbaev

    (IIUM, Kulliyyah of Engineering)

  • Isamiddin S. Rakhimov

    (UPM, Laboratory of Cryptography, Analysis and Structure, (INSPEM) & Department of Mathematics, FS)

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.

Suggested Citation

  • Ural D. Bekbaev & Isamiddin S. Rakhimov, 2014. "On Differential Invariants of Some Classical Groups," Springer Books, in: Adem Kilicman & Wah June Leong & Zainidin Eshkuvatov (ed.), International Conference on Mathematical Sciences and Statistics 2013, edition 127, pages 255-263, Springer.
    • Handle: RePEc:spr:sprchp:978-981-4585-33-0_26
    DOI: 10.1007/978-981-4585-33-0_26
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