Quadratic maps in two variables on arbitrary fields

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 05 Feb 2021Embargo end date: 01 Jan 2019 Spain Publisher:Technical University of Cluj Napoca, North University Center of Baia MareJournal:Carpathian Journal of Mathematics, volume 37, pages 91-100 (issn: 1584-2851, eissn: 1843-4401,

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Authors: Durán Díaz, Raúl; Hernández Encinas, Luis; Muñoz Masqué, Jaime;

doi: 10.37193/cjm.2021.01.09 , 10.48550/arxiv.1901.05702

arXiv: 1901.05702

handle: 10261/239454

Quadratic maps in two variables on arbitrary fields

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Abstract

Let F be a field of characteristic different from 2 and 3, and let V be a vector space of dimension 2 over F. The generic classification of homogeneous quadratic maps f : V → V under the action of the linear group of V , is given and efficient computational criteria to recognize equivalence are provided.

Country

Spain

Related Organizations

Spanish National Research Council
Spain
University of Alcalá
Spain

Keywords

homogeneous quadratic map, Primary 15A72, Secondary 11E88, 12E20, 12E30, 13A50, 15A66, invariant function, Mathematics - Rings and Algebras, linear representation, symmetric bilinear composition law., Rings and Algebras (math.RA), FOS: Mathematics, linear group, Clifford algebra, Representation Theory (math.RT), Mathematics - Representation Theory

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