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On Differential Rational Invariants of Finite Subgroups of Affine Group

Ural, Bekbaev, (2005) On Differential Rational Invariants of Finite Subgroups of Affine Group. Bulletin of the Malaysian Mathematical Sciences Society, 28 (1). pp. 55-60. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v28n1/v28n1p6.pdf

Affiliations

Universiti Putra Malaysia, Dept. of Mathematics

Abstract

In the case of differential field an algebraic analogue of the field of all invariant differential rational functions of surfaces relative to gauge transformations and different subgroups of affine motion group is introduced. In the case of finite subgroup of affine group it is proved that its field of invariant rational functions generates the above field of invariant differential rational functions as a some differential field.

Item Type:Journal
Keywords:Differential field, differential rational functions, group, automorphism, invariant, primitive element.
Subjects:Q Science, Computer Science
ID Code:1395

[1] Dzh. Khadzhiev, Application of invariant theory to the differential geometry of curves (Russian), “Fan”, Tashkent, 1988.

[2] E. R. Kolchin, Differential algebra and algebraic groups, Academic Press, New York, 1973.

[3] Bekbaev, Ural Differential rational invariants of hypersurfaces relative to affine group, In: Prosiding Pengintegrasian Teknologi dalam Sains Matematik, (ed. How Guang Aun, et al.), 58—64, Pusat Pengajian Sains Matematik, USM,

[4] Bekbaev, Ural I. S. Rachimov and K. K. Muminov, Differential rational invariants of finite system of points of finite dimensional vector spaces, Dep.v. VINITI, 18.10.89. N6343—B89, 1—12.

[5] S. Lang, Algebra, Revised third edition, Springer, New York, 2002.

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